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GenaCL600 [577]
3 years ago
7

Given the following figure, what is the measure of angle B?

Mathematics
1 answer:
scZoUnD [109]3 years ago
7 0

Answer:

132°

Step-by-step explanation:


<u>Sum of the interior angles of a polygon</u> is given by the formula:

(n-2)*180

Where n is the number of sides of the polygon.


<u>The figure shows a 5 sided polygon (aka Pentagon). So the sum of all the angles is:</u>

Sum = (5-2)*180\\=3*180\\=540


<u>If we add up all the expressions/angles given and equate to 540, we can figure out x. So:</u>

84+13x+6+9x-16+92+12x=540\\34x+166=540\\34x=540-166\\34x=374\\x=\frac{374}{34}=11

<em>But angle B measures 12x, so plugging in x=11, we have:</em>

Angle B = 12x=12(11)=132°

Second answer is right.

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Perimeter of an equilateral triangle where side 10 5/6
Ostrovityanka [42]

Answer:

perimeter is adding so add all the sides

Step-by-step explanation:

5 0
3 years ago
Write the equation of a line in point slope form that is PARALLEL 5x + 2y = 1 that passes through the point (- 2, - 3) .
aliya0001 [1]

Answer:

y = -5/2x - 13

Step-by-step explanation:

First, we have to find the slope of the original equation

Subtract 5x from both sides

5x + 2y = 1

- 5x         - 5x

2y = -5x + 1

Divide both sides by 2

2y/2 = (-5x + 1)/2

y = -5/2x + 1/2

The slope of this equation is -5/2, so -5/2 has to be in our new parallel equation

y = -5/2x + b

Plug in the given x and y

-3 = -5/2(-2) + b

-3 = 10 + b

Subtract 10 from both sides

-3 = 10 + b

- 10  - 10

b = -13

This makes our equation: y = -5/2x - 13

7 0
3 years ago
Please help, i’m so behind on my work :(( image attached
gregori [183]

Answer:

5/8

Step-by-step explanation:

28x + 4 can be factorised because 28 is a multiple of 4

so it can become

4(7x+1)

35x + 5 can be also factorised because 35 is a multiple of 5

5(7x+1)

we can now rewrite the expression as

6/4(7x+1) * 5(7x+1)/12

we can “eliminate” the two 7x+1 and simplify 6 with 12

so it remains

1/4 * 5/2 = 5/8

8 0
3 years ago
What is the coefficient of the third term in this expression? <br>5b³ - 10 + 4c³?​
mihalych1998 [28]

Answer:

4

Step-by-step explanation:

A coefficient is a number before the variable. The third term is 4c^3, and the coefficient is 4.

Hope this helps!

4 0
2 years ago
FREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOIN
Valentin [98]
Thank you for the points
7 0
3 years ago
Read 2 more answers
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