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2 years ago

What are the measures of the other three angles formed by the intersection

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

3 0

Answer:

angle 1 130°

angle 2 50°

angle 3 130°

Step-by-step explanation:

180°-50°=130°, use one of the road as the straight line,

which is 180° so angle 1 is 130°

which means angle 2 is also 50° because 180°-130° is 50°

and angle 3 is 130° because 180°-50°=130°

Hope this helps :)

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2 years ago

16 + (22a + a) = 16 + (a + 22)

mario62 [17]

Answer:

a = 1.

Step-by-step explanation:

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3 years ago

Which expression is equivalent to the expression below? StartFraction m + 3 Over m squared minus 16 EndFraction divided by Start

Kamila [148]

Option B: $\frac{1}{(m-4)(m-3)}$ is the correct answer.

Explanation:

The given expression is $\frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )}$

Simplifying the expression, we have,

$\frac{m+3}{m^{2}-16}\times\frac{m+4}{m^2-9}$

Factor the equations, $m^{2}-16\right$ and $m^{2}-9$ ,we get,

$m^{2}-16\right=m^{2}-4^{2}=(m+4)(m-4)$

$m^{2}-9=m^{2}-3^2=(m+3)(m-3)$

Substituting these factored expressions in the above expression, we have,

$\frac{m+3}{(m+4)(m-4)}\times\frac{m+4}{(m+3)(m-3)}$

Cancelling the common terms $m+3$ and $m+4$ , we get,

$\frac{1}{(m-4)(m-3)}$

Thus, the expression equivalent to $\frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )}$ is $\frac{1}{(m-4)(m-3)}$

Hence, Option B is the correct answer.

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2 years ago

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2 years ago

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Find the area of the regular polygon with a side length of 20

Elodia [21]

The area of regular polygon with 5 sides is 689.65m²

<u>Explanation:</u>

All sides of a regular polygon are equal in length. If you know the length of one of the sides, the area is given by the formula:

$area = \frac{s^2n}{4 tan(\frac{180}{n}) }$

where

s is the length of any side

n is the number of sides

tan is the tangent function calculated in degrees

Let the number of side of a polygon be 5. So, putting the values in equation

$area = \frac{(20)^2X5}{4 tan(\frac{180}{5}) } \\\\ = \frac{2000}{2.9} \\\\= 689.65 m^2$

Therefore, the area of regular polygon with 5 sides is 689.65m²

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3 years ago