For what value of x is line a parallel to line b

For What Value Of X Is Line A Parallel To Line B

Answers

Answer 1

Answer:

x=8

Step-by-step explanation:

(8x+12)=76

8x=64

x=8

check

8(8)+12=104

64+12=76

76=76


Related Questions

help pleaseeeeeeeeee​

Answers

Answer: Area of Δ DUO = 12.0 square units.

Step-by-step explanation:

From the diagram, Δ DPA is a right angled triangle and right angled at P.

Therefore ∠D will be

Tan ∅° = PA/DP ie, opposite side all over the adjacent.

            = 4.5/3.75

Tan∅°   = 1.2

to calculate ∅°, we know find the inverse of Tan 1.2

∅ = Tan^-1 1 .2 from your log tables or calculator

         ∅° = 50.20°.

               = 50°

Since line DR is ⊥ to line OP

∠ADR = 90° - 50°

            = 40°.

From the diagram,

     ∠ADR = ∠UDR = 40°

Therefore,

    ∠ODU = 180 - ( 40 + 40 + 90 )  { Angle on a straight line }

                 = 180 - 170

                 = 10°

From Δ UDM , line MU is he height of the required Δ DUO whose area is to be determined.

Now find the height MU

            Tan10.0° = MU/10, where MU is the opposite side and 10.0 is the adjacent from the diagram given.

             MU = Tan10.0 x 10.0

                    =  0.1763 x 10.0

                    =  1.763

Therefore to calculate the area of Δ DUO

                    =   1/2 x base x height

                    = 1/2 x line OD x line MU

                    = 1/2 x 14.0 x 1.763

                    = 7 x 1.763

                    = 12.341

                    = 12.0 square units.

         

           =  

                   

Write as a mixed number:
25/3

Answers

Answer:

8 1/3

Step-by-step explanation:

To write an improper fraction as a mixed number,

we divide the denominator into the numerator.

My work is attached below.

There are between 50 & 60 eggs in a basket. When roza counts by 3's there are 2 leftover and when she counts by 5's there are 4 leftover. How many eggs are in the basket?
(is there a way to solve this without having to go through all the options)​

Answers

There are 59 eggs in the basket

Step-by-step explanation:

There are between 50 & 60 eggs in a basket

When Roza counts by 3's there are 2 leftoverWhen she counts by 5's there are 4 leftover

We need to find how many eggs in the basket

∵ When Roza counts by 3's there are 2 leftover

∵ When she counts by 5's there are 4 leftover

- That means the number of eggs when divided by 3 give

  remainder 2 and when divided by 5 give remainder 4

- To find the number look for the numbers that divisible by 5 and

  add 4 to them and then check the remainder when they divided

  by 3

∵ Between 50 and 60 there is only one number divisible by 5

  is 55 (not including 50 or 60)

∵ 55 + 4 = 59

∴ 59 gives remainder 4 when divided by 5

Let us check them with 3

∵ 59 - 2 = 57

∵ 57 is divisible by 3 ⇒ (57 ÷ 3 = 19)

∴ 59 when divide by 3 gives remainder 2

∴ 59 gives remainder 4 when divided by 5 and remainder 2 when

  divided by 3

∴ The number of eggs in the basket is 59

There are 59 eggs in the basket

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Grandma baked
96
cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received
c
cc fewer cookies than she would have received had all of the cookies been evenly divided among the
8 grandchildren.

Answers

Answer:

[tex]12-c[/tex]  Cookies

Step-by-step explanation:

The question is to find how many cookies did Cindy receive (write as an expression)?

Total cookies baked = 96

If evenly divided among 8 grandchildren, each would get:

[tex]\frac{96}{8}=12[/tex]

Each grandchildren would have gotten 12 cookies

Now, Cindy received "c" fewer than this (12), so Cindy received:

12 - c  Cookies

Cindy Received = 12 - c  Cookies

Answer:

96/8 - c.

Step-by-step explanation:

She is divideing among the grandkids so it would be 98/8-c

A line contains the points (4, 2) and (0, -1). What is the equation of the line? Show your work.

Answers

Answer:

[tex]\large\boxed{y=\dfrac{3}{4}x-1}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept (0, b)

We have two points (4, 2) and (0, -1) → b = -1.

Calculate the slope:

[tex]m=\dfrac{-1-2}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}[/tex]

Finally:

[tex]y=\dfrac{3}{4}x-1[/tex]

Final answer:

The equation of the line that passes through the points (4, 2) and (0, -1) is y = 0.75x + 1.

Explanation:

The subject of this question is Mathematics, and it involves finding the equation of a line given two points. To find the equation of the line that contains the points (4, 2) and (0, -1), we first find the slope (m) using the formula m = (y2 - y1) / (x2 - x1).

Substituting the given points into the formula, we get m = (-1 - 2) / (0 - 4) = -3 / -4 = 0.75.

We then use the point-slope form of a linear equation, y - y1 = m(x - x1), and substituting m = 0.75, x1 = 4, and y1 = 2, we get the equation of our line as: y - 2 = 0.75(x - 4), which simplifies to y = 0.75x + 1.

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Which of the following statements is true about the values of the coordinate points in a figure when the figure is reflected over the y-axis

Answers

Answer:

they will have the same y-coordinate from the point it was reflected because it is reflected over the y-axis.

but you didn't provide the following statements, so i do not know.

The values of the coordinates will be same for y ordinate but will be negated for x abscissa , which means (x,y) will become (-x, y)

How does the reflection works?

When the graph is reflected over y axis, then all the x coordinates of all points become negation of themselves. It is because those x coordinates who were on the positive sides now are on the negative sides and those who were on the negative side are now on the positive side.

Thus:

(x,y) turns to  (-x,y)

Thus, the values of the coordinates will be same for y ordinate but will be negated for x abscissa , which means (x,y) will become (-x, y)

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Mark and Henry win some money and share it in the ratio 3:4. Mark gets £27. How much did they win in total?

Answers

Answer:

They won [tex]\£63[/tex] in total

Step-by-step explanation:

Let

x ----> Mark's money

y ----> Henry's money

we know that

[tex]x=27[/tex] ----> equation A

[tex]\frac{x}{y}=\frac{3}{4}[/tex] ----> equation B

substitute equation A in equation B

[tex]\frac{27}{y}=\frac{3}{4}[/tex]

solve for y

[tex]y=27(4)/3\\y=36[/tex]

we have that

[tex]x+y=27+36=\£63[/tex]

This Christmas, your brother Jack will be 2 years from being twice as old as your sister Jen. The sum of Jacks age and three times Jen's age is 66. How old is Jen?

Answers

Age of Jen is 13.6 years old

Solution:

Let "x" be the age of Jack and "y" be the age of Jen

Given that This Christmas, your brother Jack will be 2 years from being twice as old as your sister Jen

The above sentence can be written mathematically as:

Jack age + 2 = twice of age of Jen

[tex]x + 2 = 2y\\\\x = 2y - 2---- eqn 1[/tex]

The sum of Jacks age and three times Jen's age is 66

Jack age + three times Jen age = 66

x + 3y = 66 ---- eqn 2

Substitute eqn 1 in eqn 2

2y - 2 + 3y = 66

5y - 2 = 66

5y = 68

y = 13.6

Thus age of Jen is 13.6 years old

Can you spend 1/5 of his allowance on a movie 3/8 on snacks and 2/7 on games if his allowance was $20 how much did Ken have

Answers

For this case we assume that the initial amount of money is $20.

So:

[tex]\frac{1} {5}[/tex] of $20 in movies:

[tex]\frac {1} {5} (20) = 4[/tex]

[tex]\frac {3} {8}[/tex] of $20 in snacks:

[tex]\frac {3} {8} (20) = 7.5[/tex]

[tex]\frac {2} {7}[/tex] of $20 in games:

[tex]\frac {2} {7} (20) = 5.71[/tex]

Adding we have:

[tex]4 + 7.5 + 5.71 = 17.21[/tex]

Ken has:

[tex]20-17.21 = 2.79[/tex]

Answer:

Ken can spend what he planned and he has $2.79 left.

Four speed skaters, Marco

Answers

Answer:

???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

Step-by-step explanation:

What? I don’t understand this

15. Mr. Clements painted his barn for hours in the morning. He painted

the barn for 5 hours in the afternoon. For 154-15c, select True or False

for each statement.

15a. A common denominator of

the mixed numbers is 20.

O True

False

O True

O False

15b. The amount of time spent

painting in the morning can be

rewritten as 3 hours.

False

15c. Mr. Clements spent 2 hours O True

longer painting in the afternoon

than the morning

16. Tom exercised hour on Monday and hour on Tuesday.

Answers

Answer:

15a)  True 15b) False 15c) True

16)[tex]\frac{4*2}{5*2}=\frac{8}{25}=\frac{4*3}{5*3}=\frac{12}{15}[/tex]

[tex]\frac{5*2}{6*2}=\frac{10}{12}=\frac{5*3}{6*3}=\frac{15}{18}[/tex]

Step-by-step explanation:

*Rewriting the question with Retrieved missing information:

15. Mr. Clements painted his barn for hours in the morning. He painted  his barn [tex]3\frac{3}{5}[/tex] hours in the morning. He painted the barn for [tex]5\frac{3}{4}[/tex] hours in the afternoon.Select True or False for each statement.

15a. A common denominator of the mixed numbers is 20.

15b. The amount of time spent painting in the morning can be rewritten as [tex]3\frac{15}{20}[/tex]

15c. Mr. Clements spent [tex]2\frac{3}{20}[/tex]

hours longer painting in the afternoon than the morning.

16. Tom exercised:

[tex]\frac{4}{5}[/tex]

hour on Monday and

[tex]\frac{5}{6}[/tex]

hour on Tuesday. Part A. Complete the calculations below to write equivalent fractions with a common denominator.

15a)  True

Turning the Mixed Numbers into Improper ones:

He painted the his barn:

[tex]3\frac{3}{5}=\frac{18}{5}[/tex] Keep the denominator, and for the numerator multiply the denominator 5 by 3 and add 3 = 18. (In the morning).

[tex]5\frac{3}{4}=\frac{23}{4}[/tex] (In the afternoon)

The Prime factorization [tex]\frac{23}{4},\frac{18}{5}[/tex] help us to obtain the common denomination, i.e. 20

15b) False

This is a matter of simplification. In this mixed number, the fraction can be simplified this way:

[tex]3\frac{15}{20}=3\frac{15:5}{20:5}\Rightarrow 3\frac{3}{4}[/tex]

15c) True

Subtracting the working hours, knowing the common denominator by prime factorization is 20.

For Mixed Numbers:

[tex]5\frac{3}{4}-3\frac{3}{5}=5\frac{15}{20}-3\frac{12}{20}=2\frac{3}{20}[/tex]

For the same mixed numbers turned into improper fractions:

[tex]\frac{23}{4}-\frac{18}{5}=\frac{115-72}{20}=\frac{43}{20}[/tex]

Notice that:

[tex]2\frac{3}{20}==\frac{43}{20}=2.15[/tex]

16A

Equivalent fractions are fractions multiplied by a same constant, on the numerator and denominator:

[tex]\frac{4*2}{5*2}=\frac{8}{25}=\frac{4*3}{5*3}=\frac{12}{15}[/tex]

[tex]\frac{5*2}{6*2}=\frac{10}{12}=\frac{5*3}{6*3}=\frac{15}{18}[/tex]

15a is False as a common denominator isn't clear; 15b is False because the time in the morning is undefined; 15c is True assuming the morning was 3 hours. 16 needs further clarification.

15a ⇒False. To find the common denominator, we need to look at the fractions given. If there are fractions involved, more context is needed to validate this statement. Please provide relevant fractions.

15b ⇒False. There is no concrete information given about the exact time spent in the morning to confirm this statement. If he spent 5 hours in the afternoon and the total time spent isn't specified, we cannot conclude the morning time is 3 hours.

15c ⇒True. Since he painted for 5 hours in the afternoon, and we assume the morning time to be 3 hours (as per previous interpretations), Mr. Clements painted 2 hours longer in the afternoon (5 - 3 = 2).

So, correct answer is 15a. False   15b. False   15c.True

Solve the following equation for x.
3x - (2x - 3) = 2x + 9​

Answers

Answer: x= -6

Let’s first rewrite the equation

3x-(2x-3)=2x+9

Now now distribute the -1•2x and the -1•-3

3x-2x+3=2x+9

Let’s now combine the like terms on the left side

x+3=2x+9

To get x alone on the left side, subtract it on both sides

3=x+9

To get your final answer, subtract 9 on both sides

-6=x

And that’s your answer for x! Hope this helps comment below for more questions :)

Answer:

x=-6

Step-by-step explanation:

3x-(2x-3)=2x+9

3x-2x+3=2x+9

x+3=2x+9

3=2x-x+9

3=x+9

x=3-9

x=-6

how manet times dose 50 go into 1,000

Answers

Answer:

20 times

Step-by-step explanation:

1,000 divided by 50 will be 20 try using lone division :)

Answer:

20 times

Step-by-step explanat

if a pint of milk cost $0.76 what is the cost per cup

Answers

Answer:

$0.38

Step-by-step explanation:

Since there are two cups in a pint so you divide 0.76 by 2

Answer:

.38 cents

Step-by-step explanation:

Since there are 2 cups in one pint, you have to divided .76 (cents) by 2 and you get .38 (cents)

In winter, a sporting good stores sells 5 times as many snowboards as it as it sells during summer the store sells 132 snowboards in the summer how many so much does a store sale in winter

Answers

132 x 5 = 660 (5 times more than in summer)

Solve the problem.

5) The odds in favor of Carl beating his friend in a round of golf are 7:2. Find the probability that

Carl will beat his friend.

A)

Answers

Answer:

0.7

Step-by-step explanation:

Find Explanation attached

2(5x-1)-(2x-5) simplify

Answers

Answer:

c

Step-by-step explanation:

c

Answer:

Step-by-step explanation:

2(5x - 1) - (2x - 5) =

10x - 2 - 2x + 5 =

8x + 3 <===

1.What is the circumference of a circle with a diameter of 2.9 cm?

Use 3.14 for pi.

Enter your answer as a decimal in the box.


___ cm

------------------------------
2.What is the circumference of a circle with a radius of 7.9 inches?

Use 3.14 for pi.

Enter your answer as a decimal in the box.


____ in.

Answers

Answer:

(1) 9.106 cm

(2)  49.612 inches

Step-by-step explanation:

Answer:

1. C =9.106 cm              2.C =49.612 inches

Step-by-step explanation:

To solve these problems, we will follow the steps below;

First write down the formula for calculating the circumference of the circle

C= 2πr

where c is the circumference of the circle    and r is the radius of the circle

1) From the question diameter = 2.9 cm, but radius is half of the diameter, this implies that radius = [tex]\frac{d}{2}[/tex]= [tex]\frac{2.9}{2}[/tex]=1.45 cm  

We can now proceed to insert the values into the formula;

C= 2πr

   = 2×3.14×1.45

   =9.106 cm

C =9.106 cm

2) From the question, radius = 7.9 inches and π=3.14

We can now go ahead to insert the values into the formula  C= 2πr

C = 2×3.14× 7.9

    =49.612 inches

C =49.612 inches

Anita and Susanna are in a 5-mile bike race. The graph shows each racers distance from the start as a function of time. What could describe Anita's race from minute 3 to minute 5

Answers

Answer:

The best could describe Anita's race from minute 3 to minute 5, She was standing, not moving, she could have been in an accident.

Step-by-step explanation:

See the attached figure.

As shown in the figure, we can note that the distance from minute 3 to minute 5 is constant which is equal to the distance at minute 3.

So, the average distance from minute 3 to minute 5 will be zero and hence the speed of Anita will be zero

So, From minute 3 to minute 5, She was standing, not moving.

Note: speed of Anita from minute 3 to minute 5

= ( distance difference) / (time difference) = zero / (5-3) = 0/2 = 0

Final answer:

To describe the race from minute 3 to 5, analyze the graph paying attention to the x and y axis and the slope of the curve. A straight line suggests constant speed, an upward line implies acceleration, and a downward line denotes deceleration.

Explanation:

To describe Anita's race from minute 3 to minute 5, we need to analyze the provided graph which depicts the distance from the start as a function of time for both racers. In this case, we do not have the actual graph so it's important that when you are presented with a graph you pay attention to the

x and y axis

, which in this instance are time and distance. It's vital to also look at the slope of the curve during those minutes 3 to 5 for Anita. If it's a straight line, it means Anita was biking at a

constant speed

. If the line is going upward, Anita was accelerating, and if the line is going downward, she was decelerating. Without the graph itself, it's hard to provide a definitive answer. But the basic method of reading the graph will help you understand the function of time and distance in the context of a race.

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9.
A wholesaler buys pairs of sunglasses
for $5.50 each. He then marks up the
wholesale cost 80% to create a retail
price for his customers. Customers must
then pay an additional 7% tax on the
retail price. What is the total cost of a
pair of sunglasses to the wholesaler's
customers, including tax, rounded to
the nearest penny?​

Answers

A customer will pay $10.59, including sales tax, for a pair of sunglasses.

Step-by-step explanation:

Given,

Purchase price of sunglasses = $5.50

Mark up = 80%

Amount of mark up = 80% of purchase price

Amount of mark up = [tex]\frac{80}{100}*5.50=0.80*5.50[/tex]

Amount of mark up = $4.40

Retail price = Purchase price+mark up

Retail price = 5.50+4.40 = $9.90

Sales tax = 7% of retail price

Sales tax = [tex]\frac{7}{100}*9.90=0.07*9.90[/tex]

Sales tax = $0.69

Total paid by customer = retail price + sales tax

Total paid by customer = 9.90 + 0.69 = $10.59

A customer will pay $10.59, including sales tax, for a pair of sunglasses.

Keywords: addition, percentage

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PLEASE SOLVE THE QUESTION BELOW

Answers

Answer:

There are 4 chairs in one row.

Step-by-step explanation:

Let [tex]$ x $[/tex] be the number of chairs in one row.

That is the length of one row.

Now, from the given data, three rows of length 3x can be formed with one chair left.

Or, if 15 extra chairs given, we can form 7 rows of the same length.

This means that there are [tex]$ 3x + 1 $[/tex] chairs in the first case. And since with 15 extra chairs we can form 7 rows, the equation would be

[tex]$ (3x + 1) + 15 = 7x $[/tex]

Solving this for '[tex]$ x $[/tex]', we get:

[tex]$ 3x + 16 = 7x $[/tex]

[tex]$ \implies 4x = 16 $[/tex]

[tex]$ \implies x = 4 $[/tex]

Therefore, the length of each row is four.

That is, there are four chairs in one row.

come on somebody plz help

Answers

Answer:

A=πr^2 and A=πr'^2 by the definition of area

Let b = 7

What is the value of the expression 4b2+b−5 ?

Answers

58.....2wt.r3y2teyt3y2.te.32ty.32tye.t32y.tey32t..enkuuhuh

Help pls multiply 3.96584 by 100

Answers

Answer:

396.584

Step-by-step explanation:

just move the decimal right 2 spaces when multiplying by 100

Answer:

396.584

Step-by-step explanation:

Can u please help me wit these 2 please I don't get it...

Answers

Answer:

0,-9,-5

Step-by-step explanation:

plz help I don't want to be awake the whole night

Answers

Answer:

Therefore

[tex]75\div 5 - [(9-7)\times 3 ]\times 2 = 3[/tex]

Step-by-step explanation:

To Find:

Value of expression

75 ÷ 5 - [( 9 - 7 ) × 3 ] × 2

Solution:

PEDMAS rule

It explains the order of operations to solve an expression.

According to Pedmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.),

then division, multiplication, addition and subtraction from left to right.

P - parenthesis

E- exponent

D/M - Div or Multiply which ever comes first

A/S - Add or Sub which ever comes first.

So first we will solve the Parenthesis we get

Step 1. Parenthesis  operation

75 ÷ 5 - [( 2 ) × 3 ] × 2

Step 2. Parenthesis operation

[tex]75\div 5 - [(2)\times 3 ]\times 2[/tex]

Step 3. Division

[tex]15 - [6]\times 2[/tex]

Step 4. Multiplication

[tex]15 - 12[/tex]

Step 5. Subtraction

3

Therefore

[tex]75\div 5 - [(9-7)\times 3 ]\times 2 = 3[/tex]

The tens digit of a two-digit number is 3 less than the units digit. Find the original number, if the sum of that number and the number reversed is 143.

Answers

Let...

x=ones digit

x-3=tens digit

The number in terms of x would be...

10(x-3)+x = 11x-30

The number with its digits reversed would be...

10(x)+x-3 = 11x-3

And...

11x-30+11x-3=143     We can solve for x!

22x=176

x=8

The number would be 58.

answer: 58

The two digit number needed is valued 58.

Given that:

The tens of a two digit number  =  unit's digit - 3

Number reversed  + The number itself = 143

Let the ones digit of that two digit number be x and the tens digit be y. Then by place value concept, we have:

[tex]10(y) + x[/tex]

Since the tens digit = unit digit - 3

Thus we have:

[tex]y = x - 3[/tex]

or the number is :

[tex]10(x-3) + x = 11x - 30[/tex]

Now sum of the number and the number reversed is 143, which means:

[tex]143 = 10(x) + (y) + 10(y) + x = 10x + (x-3) + 11x - 30\\143 = 22x - 3 - 30\\x = 8[/tex]

Thus, the number is  [tex]10(x-3) + x = 50 + 8 = 58[/tex]

Thus, the two digit number needed is valued 58.

Learn more about the sum of digits of a number:

https://brainly.com/question/9459173

Which situation is modeled by the equation 24 = 15x + 8?

Answers

Answer:

Exact form : x = 16/15

Decimal form : x=1.06666666666...

Mixed Number form : x=1 1/15

Step-by-step explanation: Move all term that don't contain x to rightside and solve.

Hope this helps you out.

Answer:

A classroom of 24 students will go on a field trip to a museum. Each student pays $8 to go. So far, 15 of the students have paid to go. How much money, x, will be collected from all 24 students?

A group of 21 people need to take an
elevator to the top floor. They will go in
groups of seven. They are deciding who
will go in the first group.

Answers

Answer:

The numbers are 18, 22.5, and 13.5

Step-by-step explanation:

You first need to figure out what number you use to multiply to find your answer. I found 4.5

Now, multiply all numbers by 4.5

4 x 4.5 = 18

5 x 4.5 = 22.5

3 x 4.5 = 13.5

Step-by-step explanation:

in the right triangle shown, angle A=30 and AC=18 how long is AB?

Answers

Answer:

[tex]AB=9\sqrt{3}\ units[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

The cosine of angle of 30 degrees is equal to divide the adjacent side to angle of 30 degrees by the hypotenuse

so

[tex]cos(30^o)=\frac{AB}{AC}[/tex]

we have

[tex]cos(30^o)=\frac{\sqrt{3}}{2}[/tex]

[tex]AC=18\ units[/tex]

substitute

[tex]\frac{\sqrt{3}}{2}=\frac{AB}{18}[/tex]

solve for AB

[tex]AB=(18)\frac{\sqrt{3}}{2}[/tex]

[tex]AB=9\sqrt{3}\ units[/tex]

Answer:

T

Step-by-step explanation:

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