q supp r and m q =22 degrees

Q Supp R And M Q =22 Degrees

Answers

Answer 1

Answer:

<R = 158

Step-by-step explanation:

Supplementary angles equal 180 degrees.

<Q + <R =180

22 + <R = 180

Subtract 22 from each side

22-22 + <R = 180-22

R = 158

Answer 2

Answer:

Option 2 -  [tex]\angle R=158^\circ[/tex]

Step-by-step explanation:

Given : [tex]\angle Q[/tex] supp [tex]\angle R[/tex] and [tex]\angle Q=22^\circ[/tex]

To find : [tex]\angle R[/tex] ?

Solution :

Supp means the supplementary angle.

We know that,

The sum of two supplementary angle is 180°.

i.e. [tex]\angle Q+\angle R=180^\circ[/tex]

Substitute [tex]\angle Q=22^\circ[/tex],

[tex]22+\angle R=180^\circ[/tex]

[tex]\angle R=180-22[/tex]

[tex]\angle R=158[/tex]

Therefore, [tex]\angle R=158^\circ[/tex]

So, option 2 is correct.


Related Questions

Help please in explain

Answers

they are diffrent numbers☺

Answer:

they are different numbers

Step-by-step explanation:

when you subtract 35-15 it comes out to 20 and the other one comes out to 17

factor trinomial 28x^3+27x^2+5x

Answers

Answer:

Hello, Gayleayers!! The answer is x(4x+1)(7x+5)

Step-by-step explanation:

To check your answer, use the box method or foil, whichever you prefer. When you use it, leave out the x in front of the parenthesis. The answer will come to x(28x^2+27x+5), then distribute the x. You will get your original answer.

Have a great night and Happy New Year!!

Answer: x(7x + 5)(4x + 1)

Step-by-step explanation:

     28x³ + 27x² + 5x

= x(28x² + 27x + 5)

= x(28x² + 7x + 20x + 5)

= x[7x(4x + 1) + 5(4x + 1)]

= x(7x + 5)(4x + 1)

The Gonzalez family has three children on summer break they want to an amusement park they bought three child tickets for $18.50 and two adult tickets if they spent a total of $104.50 how much was the price of each adult ticket

Answers

One adult ticket costs 43 dollars what I did was 104.50 - 18.50 and divided that answer by 2.

Answer:

Each adult ticket was $43

Step-by-step explanation:

2x+18.5 = 104.5

Simplify

2x = 86

x = $43

A store sells 12 cans of nuts for $33. How much would it cost you to buy 5 cans of nuts?

Answers

[tex]\bf \begin{array}{ccll} cans&\$\\ \cline{1-2} 12&33\\ 5&x \end{array}\implies \cfrac{12}{5}=\cfrac{33}{x}\implies 12x=165 \\\\\\ x=\cfrac{165}{12}\implies x=13.75[/tex]

Answer:

$13.75

Step-by-step explanation:

Divide $33 by 12 to find out how much each can of nuts costs, which is $2.75. Now multiply that by 5 to get the cost of 5 cans of nuts. $13.75.

4.25•0.6=2.04•1.25 true or false

Answers

Answer:

True

Step-by-step explanation:


Which of the following is NOT a congruence transformation

A. A reflection over the x-axis
B. A dialation with scale factor 0.5
C. A translation 1 unit left
D. A dialation with scale factor 1

Answers

C is the answer to the best of my knowledge

It takes 24 workers to complete the job in 5 days. How many days would 15 workers take to do the same job, assuming all the workers work at the same pace?

Answers

I'm guessing 10 days, since you lost a bit more than half of the workers, and it would take longer for the job to get done.


help?? #10 please!!

Answers

Answer:

∠CAT = 140°

Step-by-step explanation:

Since AB bisects ∠CAT then ∠BAT = ∠CAB, hence

5x + 20 = 2x + 50 ( subtract 2x from both sides )

3x + 20 = 50 ( subtract 20 from both sides )

3x = 30 ( divide both sides by 3 )

x = 10

∠CAT = ∠BAT + ∠CAB = 5x + 20 + 2x + 50 = 7x + 70

substitute x = 10 into the expression

∠CAT = (7 × 10) + 70 = 70 + 70 = 140°


Select the best estimate for the diameter of a quarter

Answers

Answer:

20 Centimeters

Step-by-step explanation:

did it on edge

Jennifer is making a cold cut platter using turkey and ham for an event that she is catering. She uses 90 slices of meat. If 63 of the slices of meat are turkey, what percent of the meat on the platter are ham? ALSO, PLEASE EXPLAIN. Thanks! :)

Answers

Answer:

30% of the meat on the platter is ham.

Step-by-step explanation:

90 slices = 100%

10% = 9 slices

90 - 63 = 27 slices (this is the amount of ham)

10% x 3 = 30% = 27 slices of ham

Answer:


27 slices of ham which is about 30% of the meat.

Step-by-step explanation:

In this problem we have given

no. of slices of meat=90

no of slices of turkey's meat=63

Percent of ham in platter=?

No of ham slices= Total slices -turkey slices

=90 - 63

= 27 slices

therefore no of ham slices=27

percent of ham slices=Ham slicesx100/total slices

=27x100/90%

=30%

Therefore  percent of ham's in patter=30%


Enter the correct answer in the box.

Solve the inequality for x in terms of a.[tex]ax-8\leq 12[/tex]

Answers

12+8 which is 20
ax equals 20
so when you plot it in a number line you draw a number line then have the number 20 going back then draw a coloured in circle because the inequality has a line underneath the more than sign then you draw the line going left
this shows that ax is smaller than 20
1 you need to work it out like solving equations then you plot it in the number line if the question ask you to
thank you

Answer:x<=(20)/(a)

Step-by-step explanation:

The manager of a store orders balance beams that cost $550 and sells them for $704. What percentage is the mark-up?

Answers

Answer:

28%

Step-by-step explanation:

Percentage mark up = (new - original) / original  * 100 %

     new = 704

     original =  550                              

Substituting these values in

     Percentage mark up = (704 - 550) / 550  * 100 %

                                         =154/550 * 100%

                                         =.28*100%

                                            28%

Jackson deposited $5,000 at 3.8% interest, compounded continuously, when he was 18 years old. How much will be in the account when he is 40 years old if he made no other deposits or withdrawals?

Answers

5,000 × 3.8%= 19,000×18= 342,000 × 40 = 13,680,000

With a principal of $5,000, an interest rate of 3.8%, over 22 years, Jackson's principal will grow to $11,535

Given: principal is $5000, interest rate is 3.8% and it is compounded continuously

To find: amount when Jackson is 40 years old

To solve this problem, we use the formula for continuous compounding interest:

[tex]A = P \times e^{rt}[/tex]

where:

A is the total amount of money

P is the principal

r is the annual interest rate (decimal form, so 3.8% becomes 0.038)

t is the time in years

Time here will be 22 years as Jackson deposited the money when he was 18 years old. So, the difference of 40 and 18 gives us 22 years.

Now we can find the total amount by plugging in the values:

[tex]A = 5000 \times e^{0.038 \times 22}\\[/tex]

[tex]A= 5000 \times e^{0.836}\\[/tex]

[tex]A= 5000 \times 2.307\\[/tex]

[tex]A = 11535[/tex]

Therefore, Jackson's account will have $11,535 when he is 40 years old.

8 lb 1 oz − 3 lb 6 oz

Answers

Answer:

Since you want me to answer 3 lb 1 oz - 1 lb 15 oz instead, the answer is 18 oz

Step-by-step explanation:


First, convert pounds and ounces to just ounces, then subtract the total ounces. Finally, convert back to pounds and ounces to get the result of 8 lb 1 oz minus 3 lb 6 oz, which is 4 lb 11 oz.

Subtracting Mixed Measurements

To find the result of 8 lb 1 oz − 3 lb 6 oz, follow these steps:

Convert everything to ounces for easier subtraction (since there are 16 ounces in a pound).

Subtract the ounces first, then subtract the pounds.

Step-by-Step Solution

Step 1: Convert to ounces
8 lb 1 oz = (8 × 16) + 1 = 128 + 1 = 129 ounces
3 lb 6 oz = (3 × 16) + 6 = 48 + 6 = 54 ounces

Step 2: Subtract the ounces
129 ounces - 54 ounces = 75 ounces

Step 3: Convert back to pounds and ounces
75 ounces = 4 lb 11 oz (since 75 ÷ 16 = 4 remainder 11)

Therefore, 8 lb 1 oz − 3 lb 6 oz = 4 lb 11 oz.

In a geometric sequence, a2=108 and as 256. Write the explicit formula for this sequence.

Answers

Answer:

C. 81[-4/3]^n-1

Step-by-step explanation:

Final answer:

The explicit formula for a geometric sequence is given by a_n = a * r^(n-1). Using the provided values of a2 = 108 and a5 = 256, we can establish two equations to solve for 'a' and 'r'. This results in two possible explicit formulas for the sequence.

Explanation:

In a geometric sequence, each term after the first is obtained by multiplying the previous term by a fixed, non-zero number called the common ratio. If we denote the first term of the sequence by 'a' and the common ratio by 'r', then the explicit formula of the sequence is: a_n = a * r^(n-1). Given that a2 = 108 (the second term is 108) and a5 = 256 (the fifth term is 256), we have two equations: a*r = 108 and a*r^4 = 256. Dividing the second equation by the square of the first equation, we get r^2 = 256/108^2 = 0.022. So, r is about +- 0.148. Substituting r into the first equation, we can solve for a. This gives us two possible explicit formulas for the sequence depending on whether we take the positive or negative value of r.

Learn more about Geometric Sequence here:

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Please find the Sine, Cosine, and Tangent

Answers

Answer:

sin theta  = 3/5

cos theta = 4/5

tan theta = 3/4

Step-by-step explanation:

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent


sin theta = 18/ 30 = 3/5

cos theta = 24/30 = 4/5

tan theta = 18/24 = 3/4

Answer:

[tex]sin \theta = \frac{3}{5} = 0.6\\\\ cos \theta = \frac{4}{5} = 0.8\\\\tan \theta = \frac{3}{4} = 0.75\\[/tex]

Step-by-step explanation:

Use SOHCAHTOA for reference

[tex]sin = \frac{opposite}{hypotenuse} \\\\cos = \frac{adjacent}{hypotenuse} \\\\tan = \frac{opposite}{adjacent}[/tex]

[tex]sin \theta = \frac{18}{30} = \frac{3}{5} = 0.6\\\\cos \theta = \frac{24}{30} = \frac{4}{5} = 0.8\\\\tan \theta = \frac{18}{24} = \frac{3}{4} = 0.75[/tex]

Please help with my math homework :(

Answers

Answer:

8x-12=6x-2 x=5

Step-by-step explanation:


The larger of two numbers exceeds twice the smaller by one. Three times the smaller exceeds the larger by six. If y is the larger number, which of the following systems of equations represents the word problem? y = 2x + 1 and 3x + 6 = y y = 2x + 1 and y + 6 = 3x y = 2(x + 1) and y + 6 = 3x

Answers

Step-by-step explanation:

larger number = y

smaller number=x

y>2x+1

y<3x+6

Probably the first one, if I did this right.

To do this problem, you need to know how to read math, literally. The problem says that y is the larger number, so assume the smaller is x. So, y exceeds 2x by 1 (so, y>2x+1). then, it says 3x exceeds y by 6; therefore, 3x+6>y. I may have interpreted it wrong, though, so tell me if I made a mistake :))

Answer:

first one

A. y = 2x + 1 and 3x + 6 = y

In isosceles trapezoid JKLM, m∠J = 17x + 7, and m∠M = 11x + 13. Find m∠K.

Answers

Final answer:

To find the measure of angle K in the isosceles trapezoid JKLM, set the expressions for angle J and angle M equal to each other and solve for x. Substituting the value of x into one of the angle expressions will give the measure of angle K.

Explanation:

To find the measure of angle K in the isosceles trapezoid JKLM, we can use the fact that the opposite angles in an isosceles trapezoid are congruent. Since angle J and angle M are given in terms of x, we can set them equal to each other and solve for x:

17x + 7 = 11x + 13

Simplifying the equation, we get:

6x = 6

x = 1

Now that we have the value of x, we can substitute it back into one of the angle expressions to find the measure of angle K:

m∠K = 17(1) + 7 = 24 degrees

The surface area of a cube is 18 3/8 m square. Find its volume.

Answers

Answer:

[tex]5\frac{23}{64}\approx 5.36 [/tex] cubic meters.

Step-by-step explanation:

We have been given that the surface area of a cube is [tex]18\frac{3}{8}[/tex] square meters and we are asked to find the volume of the cube.

Since we know that surface area of a cube with each edge equals a units is:

[tex]\text{Total surface area of cube}=6a^2[/tex]

Let us find length of each edge using surface area formula.

[tex]18\frac{3}{8}=6a^2[/tex]

Let us convert our given area into mixed fraction.

[tex]\frac{147}{8}=6a^2[/tex]

Upon dividing both sides of our equation by 6 we will get,

[tex]\frac{147}{8*6}=a^2[/tex]

[tex]\frac{147}{48}=a^2[/tex]  

Upon taking square root of both sides we will get,

[tex]\frac{7\sqrt{3}}{4\sqrt{3}}=a[/tex]  

[tex]\frac{7}{4}=a[/tex]

Now we will use volume of cube formula with each side length 'a'.

[tex]\text{Volume of cube}=a^3[/tex]

[tex]\text{Volume of cube}=(\frac{7}{4})^3[/tex]

[tex]\text{Volume of cube}=\frac{343}{64}[/tex]

[tex]\text{Volume of cube}=5\frac{23}{64}[/tex]

[tex]\text{Volume of cube}=5.359375\approx 5.36[/tex]

Therefore, the volume of cube will be [tex]5\frac{23}{64}[/tex] cubic meters.





What is the solution to the equation fraction 1 over 4x = 5?

A) x = fraction 4 over 5

B) x = fraction 5 over 4

C) x = 20

D) x = 1

Answers

c) x=20
[tex]x = 20[/tex]

Find the length of segment AD.


Someone please help! I’m not the smartest when it comes to math lol.

Answers

Answer:

Since AG = GC then AD must equal DC

2x -3 = x +2

x = 5

Step-by-step explanation:


Is this table linear or non linear?
x y
0 5
1 8
2 11

Answers

Answer:

Linear  

Step-by-step explanation:

Each time x increases by one unit, y increases by three units.

The table represents a linear function of x.

solve the equation by completing the square. x^2 -6x -21=0 if the solution is not a real number enter no solution (ANSWER -2.48 and 8.48 )this is what the lesson says i just dont know how to show this

Answers

Answer:

see explanation

Step-by-step explanation:

given x² - 6x - 21 = 0 ( add 21 to both sides )

x² - 6x = 21

to complete the square

• add ( half the coefficient of the x-term)² to both sides

x² + 2 (- 3)x +9 = 21 + 9

(x - 3)² = 30 ( take the square root of both sides )

x - 3 = ± [tex]\sqrt{30}[/tex] ( add 3 to both sides )

x = 3 ± [tex]\sqrt{30}[/tex]

x = 3 - [tex]\sqrt{30}[/tex] = - 2.48 ( to 2 dec. places ) or

x = 3 + [tex]\sqrt{30}[/tex] = 8.48 ( to 2 dec. places )


Mario made six batches of cookies. His friends asked him to make an extra batch. He used 15 3/4 cups of sugar and needs another 5/8 cup for the extra batch. How many cups of sugar will Mario use altogether? Show work.

Answers

15 3/4 cup = 126/8 cup
126/8 + 5/8 = 131/8 cup
131/8 = 16 3/8 cup

The cups of sugar mario use would be  16 3/8 cup

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that Mario made six batches of cookies. His friends asked him to make an extra batch.

He used 15 3/4 cups of sugar

15 3/4 cup = 126/8 cup

then he needs another 5/8 cup for the extra batch.

126/8 + 5/8 = 131/8 cup

Mario use altogether;

131/8 = 16 3/8 cup

Learn more about the unitary method, please visit the link given below;

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what are the steps to multiplying a fraction by a fraction

Answers

Step-by-step explanation:

so for example lets say the fractions are 1/4 and 2/3

you would multiply them to make the eqution look like this-                 [tex]\frac{1}{4}[/tex]·[tex]\frac{2}{3}[/tex]

so then you would cross simplify, since 2 is a factor of 4 we will factor them out, so itll look like this=

[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{3}[/tex]

then you multiply the denominator with denominato and numerator with numerator, so the answer is 1/6

Hello There!

To multiply fractions, you first want to line up the numerator and the denominator together so they line up with each other.

Next, you want to multiply across. This includes multiplying the numerators together and then multiplying the denominators together.

Finally, you want to find the greatest common factor but only if the fraction can be simplified.

That Is How To Multiply Fractions

I need help with his problem.

Answers

Since 36,189 falls between 36,150 and 36,200 use 4980. 4980-3825=1,155 The answer is b) $1,155

Out of 25 students in Mrs. Green’s class, 12 have a pet. What percent of the students in Mrs. Green’s class have a pet?

Answers

Answer by YourHope:


Hi! :)


Out of 25 students in Mrs. Green’s class, 12 have a pet. What percent of the students in Mrs. Green’s class have a pet?


76% of the students in Mrs. Green’s class have a pet!


I also love your profile pic! :)


Simplify the algebraic expression: 7x2 + 6x – 9x – 6x2 + 15.



A. x2 – 3x + 15
B. x4 – 3x + 15
C. x2 + 15x + 15
D. 13x2 + 3x + 15

Answers

Answer:

The correct answer option is A. x2 – 3x + 15.

Step-by-step explanation:

We are given the following expression and we are supposed to simplify it:

[tex]7x^2+6x-9x-6x^2+15[/tex]

Before solving it, a good idea will be to arrange all the like terms together in their decreasing power and write the expression as:

[tex]7x^2-6x^2+6x-9x+15[/tex]

Simplifying it to get:

[tex]x^2-3x+15[/tex]

Therefore, the first option A is the correct answer x2 – 3x + 15.


Answer:

A. [tex]x^{2} - 3x +15[/tex]

Step-by-step explanation:

Given:

7x^2 + 6x – 9x – 6x^2 + 15.

On combining the x^2, and "x" terms we get,

= (7x^2 – 6x^2) + (6x – 9x)  + 15

Now, here simple addition of integers takes places

=  x^ - 3x + 15



Which expression is modeled by the diagram above?

PLEASE HELP ASAP!

Answers

It's A because 3 1/4 is being divided into 3/4 with the extra 1/4

Answer:

[tex]3\frac{1}{4}[/tex] divide by [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{4}[/tex] is a mixed fraction and it can be written as

[tex]\frac{3*4+1}{4}=\frac{13}{4}[/tex]

13/4 can be break into

[tex]\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{1}{4}[/tex]

[tex]\frac{13}{4}[/tex] can be divided into [tex]\frac{3}{4}[/tex] and it is left with

[tex]\frac{1}{4}[/tex]

[tex]3\frac{1}{4}[/tex] divide by [tex]\frac{3}{4}[/tex]

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