In ΔABC, m∠A = 40°, m∠B = 60°. Find m∠C. (Hint: Draw the auxiliary line BD parallel to the line segment AC and take a look at the same side and the alternate interior angles)

Bank of Peace= 15000(1+0.025)³=£16153.36

Bank of Trust=15000(1+0.038)=£15570

£15570(1+0.01)=£15882.95

Bank of Peace is the best choice.

I would choose the  Bank of Peace to get the most of my savings.

Formula for calculating the compound value of the savings at the Bank of Peace = FV = P (1 + r)^n

FV = Future value  

P = amount deposited  

R = interest rate  

N = number of years

£15,000 x (1.025)^3 = £16,153.36

Interest earned at the Bank of Trust in the first year = £15,000 x 0.038 = $570

Total amount at the end of the first year = $570 + £15,000 = £15,570.

Value for the two extra years = $15,570 x (1.01)^2 =$15,882.96

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Answer:

Yes it is proportional.

Step-by-step explanation:

35/1 is the same thing as 70/2, as well as 105/3, because they all simplify to 35/1.

Answer: Segment AC (second choice)

The radius is the segment that goes from the center, point A, to a point on the circle (either B, C or M). Since AB and AM aren't mentioned, this means that only AC is a radius of the four answer choices listed.

Answer:

$8.2

Step-by-step explanation:

The final price of the coat = $45 -0.2 * $45 = $36

The final price of the suit = $95 − 0.3 * $95 = $66.5

sarosh's commission = 0.08 * ( $36 + $66 ) = $8.2

The problem where one number is 7 more than another and their squares differ by 217 can be solved by creating a system of equations and simplifying to find the numbers are 12 and 19.

To solve the problem where one number is 7 more than another and the difference between their squares is 217, we can create a system of equations. Let's assume the first number is x and the second number is x+7. The problem then translates to the equation (x+7)² - x² = 217.

Step-by-step solution:

After computing the solution, we find that the two numbers are 12 and 19.

Answer:

Step-by-step explanation:

I think that the answer is x-6

The expression 2x²+ 5x - 12 has infinite many solutions

From the question, we have the following parameters that can be used in our computation:

2x²+ 5x - 12

The above is an expression and not an equation

This means that it has infinite many solutions

Hence, the expression 2x²+ 5x - 12 has infinite many solutions

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Answer:

The letter "n" can be considered a term, a variable, and an expression. It cannot be considered a "constant", therefore the answer is "a constant".

Answer:

11/12

Step-by-step explanation:you have to turn all the mixed numbers into improper fraction so 1 1/3 is 16/12 1 1/4 is 15/12 and if you add them you get 2 7/12 and that minus 3 6/12 is 11/12

There are 11/12 ounces of black pepper in Catalina's seasoning packet.

Catalina uses a 3 1/2 ounce packet of seasoning for her steaks.

This packet contains 1 1/3 ounces of garlic powder and 1 1/4 ounces of onion powder.

To find out how many ounces of black pepper are in the packet, we need to subtract the combined weight of the garlic and onion powders from the total weight of the seasoning packet.

Garlic powder: 1 1/3 ounces = 4/3 ounces

Onion powder: 1 1/4 ounces = 5/4 ounces

Total seasoning packet: 3 1/2 ounces = 7/2 ounces

We then add the amounts of garlic and onion powders to get their combined weight:

4/3 + 5/4 = (16 + 15) / 12 = 31/12 ounces

The next step is to subtract the combined weight of the garlic and onion powder from the total weight of the seasoning packet:

7/2 ounces - 31/12 ounces = (7\*6 - 31) / 12 = (42 - 31) / 12 = 11/12 ounces.

Answer:

It is when you distribute one number between two numbers like this

Step-by-step explanation:

2(5+3)

5 x 2 and 2 x 3

10 + 6

16

Answer:

a(n) = 130 + (n-1) 13

13th term = 286

Step-by-step explanation:

We are given a sequence of numbers: 130, 143, 156, 169, ... and we are to write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.

We know that the arithmetic sequence can be defined by:

[tex]a_n=d(n-1)+c[/tex]

where [tex]d[/tex] = the common difference between consecutive terms ; and

[tex]c[/tex]=[tex]a_1[/tex]

13th term:

[tex]a_{13}=130+(12)13 = 286[/tex]

Therefore, the formula for this sequence will be a(n) = 130 + (n-1) 13 and 13th term is 286.

Answer:

18.84 (or 19 to 2.s.f)

Step-by-step explanation:

The formula for the circumference of a circle is π * diameter. To find the diameter you multiply the radius by 2:

3 * 2 = 6

Then simply plug the value into the formula:

π * 6 = 6π ≈ 18.84 ≈ 19 to 2.s.f

Answer:The answer is 18.84

Step-by-step explanation:To figure out the circumference of a circle you need to divide the radius by 2. After that you would do [tex]2\pi * ( your number )[/tex] * 2

Answer:

(x + 1)² + 4

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a (x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

to obtain this form use the method of completing the square

• add/subtract (half the coefficient of the x-term)² to x² + 2x

= x² + 2(1)x + 1 - 1 + 5

= (x + 1)² + 4 ← the second option

Q1.  Look at the picture.

[tex]C.\\y=-\dfrac{1}{3}x+3\\\\y=2x-4[/tex]

Q2. Look at the picture.

[tex]A.\ 4-t[/tex]

Q3.

Put the value of x = 2 to the equation 3x + y = 5:

[tex]3(2)+y=5[/tex]

[tex]6+y=5[/tex]       subtract 6 from both sides

[tex]y=-1\\\\F.\ -1[/tex]

Q4.

[tex]\left\{\begin{array}{ccc}n=3m-11&(*)\\2m+3n=0&(**)\end{array}\right[/tex]

Substitute (*) to (**):

[tex]2m+3(3m-11)=0[/tex]            use distributive property

[tex]2m+(3)(3m)+(3)(-11)=0[/tex]

[tex]2m+9m-33=0[/tex]       add 33 to both sides

[tex]11m=33[/tex]      divide both sides by 11

[tex]m=3[/tex]

Put the value of m to (*):

[tex]n=3(3)-11\\\\n=9-11\\\\n=-2[/tex]

[tex]C. (3,\ -2)[/tex]

Q5.

w - width

3w - length

24 in - the sum of length and width

The equation:

[tex]w+3w=24[/tex]

[tex]4w=24[/tex]           divide both sides by 4

[tex]w=6\ in[/tex]

[tex]3w=3(6)=18\ in[/tex]

[tex]J.\ 18\ inches[/tex]

Answer:

j. 18 inches

Step-by-step explanation:

Answer:

An infinite amount

Step-by-step explanation:

Because numbers stretch on infinitely you literally can keep multiplying the starting value by numbers forever to keep equal fractions.

<, > - dotted line

≤, ≥ - solid line

[tex]2x-3y<18\qquad\text{subtract 2x from both sides}\\\\-3y<-2x+18\qquad\text{change the signs}\\\\3y>2x-18\qquad\text{divide both sides by 3}\\\\y>\dfrac{2}{3}x-6\\\\y=\dfrac{2}{3}x-6-\text{It's a linear function}\\\\for\ x=0\to y=\dfrac{2}{3}(0)-6=0-6=-6\to(0;\ -6)\\\\for\ x=6\to y=\dfrac{2}{3}(6)-6=2(2)-6=4-6=-2\to(6;\ -2)[/tex]

Answer:

Step-by-step explanation:

heyq

The correct answer is:

7/10

Explanation:

Finding the totals of each column and row, we find:

There are 3+2+1 = 6 children in the baseball league.

There are 7+2+1 = 10 children in the softball league.

There are 3+7 = 10 children in the 7-9 division.

There are 2+2 = 4 children in the 10-12 division.

There are 1+1 = 2 children in the 13-15 division.

There are a total of 10+6 = 16 children.

We start with the information that the team is a member of the softball league.  There are 10 children in this league; this is the denominator of the probability.

There are 7 children in the 7-9 division that are in the softball league.  This gives us the probability 7/10.

please you are a student study well especially graph is easy thing to do.

Answer:

A. 2/5 or 40%

B. 1/5 or 20%

C. 3/5 or 60%

Answer:

21.33 to nearest hundredth

Step-by-step explanation:

Inverse Variation is y = k / x where k is a constant.

Plug in the given values to find k:-

16 = k/4

k = 4*16 = 64 so the equation  of variation is y = 64/x.

So when x = 3,   y = 64/3 = = 21.33 to nearest hundredth.

The value of y when x = 3 is 21.33

The value of y = 21.33

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

The value of x = 4

The value of y = 16

Now , the value of y is inversely proportional to x

So ,

y ∝ 1/x

y = k/x

where k is the constant of proportionality

So , k = yx

Now , substituting the value of x and y in the equation , we get

k = 16 x 4

k = 64

So , when the value of x = 3 ,

y = k / x

y = 64 / 3

y = 21.33

Hence , The value of y when x = 3 is 21.33

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[tex]\dfrac{13}{10}=\dfrac{13}{10}\cdot100\%=13\cdot10\%=130\%\\\\\dfrac{13}{10}\ \text{of a number is}\ 130\%\ \text{of a number}.[/tex]

Answer:

130%

Step-by-step explanation:

Answer:

a=54

Step-by-step explanation:

first multiply  by -16 on both sides and you will get a+26=80 then subtract 26 on bothsides then you will get a=54 and 54 is your answer

Answer:

-2  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Maria's Team

6 points for guessing correctly 6 times

subtract 8 points for skipping.

6 - 8= -2

Answer:

-2

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Since the pizza was cut into 6, each of the slices = 1/6.

But because the pizza was then cut into half, it makes each slice = 1/12

6 x 2 = 12

Therefore the answer is 1/12.

Answer:

3

Step-by-step explanation:

If you look at this number line, all you have to do is count how many times it takes to get from -3 to 3. And you get 3.

Our first step is the find the lcm of 4 and 12 so we can add the two fractions without having a problem.

The lcm of 4 and 12 is clearly 12 because 12 is a multiple of 4. 12 divided by 4 is 3, so you must multiply by 3/3 to be able to add the two fractions.

1/4*(3/3)=3/12.

So, 3/12+5/12=7/12.

Jim and Jon painted 7/12 of the the fence.

Answer:

2/3 of the fence

Step-by-step explanation:

Jim painted 1/4 of the fence

Jon painted 5/12 of the fence

Together they painted

1/4+5/12 of the fence

We need a common denominator to add the fractions

The common denominator is 12

1/4*3/3 + 5/12

3/12 + 5/12

8/12

This can be simplified by dividing the top and bottom by 4

2/3

Together, they painted 2/3 of the fence.

Answer:

I THINK THE ANSWER IS D

TELL ME IF I"M WRONG

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

47 is half of 94 which is the same thing as 50% of 94

Answer:

94% of 47 is just 47 x 0.94 ¯\_(ツ)_/¯

So 44.18

Please mark brainliest which would help alot.

Step-by-step explanation:

Answer:

5.00 a yard

Step-by-step explanation:

5.4 + 6.2 = 11.6

58.00 divided by 11.6 =

5

5.00 a yard

Answer:

$5 per yard

Step-by-step explanation:

Add 6.2 and 5.4

You get 11.6

Divide 11.6 by 58

The answer is 5