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Reptile [31]
3 years ago
7

What is the measure of ∠B?

Mathematics
2 answers:
insens350 [35]3 years ago
8 0

For this case we have that the sum of the interior angles of any polygon is given by the following expression:

(n-2) * 180

In this case it is observed that we have a figure with 6 sides. So:

n = 6

We replace:

(6-2) * 180 = 720

Thus, the sum of the interior angles should be 720 degrees.

So:

B + 133 + 102 + 117 + 90 + 170 = 720\\B = 720-133-102-117-90-170\\B = 108

Thus, angle B is 108 degrees.

Answer:

Option B

lorasvet [3.4K]3 years ago
3 0

Answer:

108

Step-by-step explanation:

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The binomial (2x+6) is a factor of a quadratic expression 10x^2+18x-36 what is the other factor of this expression?
madreJ [45]

Answer:

The other factor of the polynomial is (5x -6)

Step-by-step explanation:

Here, we want to find the other factor of this binomial expression

To find the other factor, we simply proceed to divide the polynomial by the binomial

That would be;

(10x^2 + 18x - 36)/(2x + 6)

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Two similar pyramids have base areas of 12.2 cm2 and 16 cm2. The surface area of the larger pyramid is 56 cm2. What is the surfa
docker41 [41]

Given =

Two similar pyramid have base area of 12.2 cm² and 16 cm².

surface area of the larger pyramid = 56 cm²

find out the surface area of the smaller pyramid

To proof =

Let us assume that the surface  area of the smaller pyramid be x.

as surface area of the larger pyramid is 56 cm²

Two similar pyramid have base area of 12.2 cm² and 16 cm².

by using ratio and proportion

we have

ratio of the base area of the pyramids : ratio of the surface area  of the pyramids

\frac{12.2}{16} : \frac{x}{56}

x = 12.2 ×56×\frac{1}{16}

by solvingthe above terms

we get

x =42.7cm²

Hence the surface area of the smaller pyramid be 42.7cm²

Hence proved










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Answer:

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Step-by-step explanation:

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