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3 years ago

15

Algebra I math! Please help!

2 answers:

forsale [732]3 years ago

8 0

To solve this problem, we must remember that a straight line has a value of 180 degrees. This means that the two angles shown above, b and 48 degrees, are supplementary, because their sum is 180 degrees. With this knowledge, we can create an equation, modeled below:

b + 48 = 180

To solve this equation, we must get the variable b alone on the left side of the equation, so we should subtract 48 from both sides of the equation.

b = 132

Therefore, your answer is angle b measures 132 degrees.

Hope this helps!

butalik [34]3 years ago

4 0

180 - 48 = b (linear pair)

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quester [9]

The formula to find the area of a sector is:

A = $\frac{degree}{360} \pi r^{2}$

In this case:

Degree = 40

Radius = 8

^^^Plug these numbers into the formula given above

A = $\frac{40}{360} \pi 8^{2}$

Solve

A = $\frac{1}{9}$ π8²

A = $\frac{1}{9}$ π64

A = $\frac{64}{9}\pi$

A = 7.1111111π

When rounded:

7.1π is the area of the sector

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Gekata [30.6K]

Here we go !!

Since it's a regular pentagon, all it's sides are equal so let's solve for x

$\hookrightarrow \: 3(x - 1) = 5x - 6$

$\hookrightarrow \: 3x - 3 = 5x - 6$

$\hookrightarrow \: 3x - 5x = - 6 + 3$

$\hookrightarrow \: - 2x = - 3$

$\hookrightarrow \: x = \dfrac{ - 3}{ - 2}$

$\boxed{\boxed{x = \dfrac{3}{2} }}$

now let's find the measure of each side, i.e

$\hookrightarrow \: 5x - 6$

$\hookrightarrow \: (5 \times \dfrac{3}{2}) - 6$

$\hookrightarrow \: \dfrac{15}{2} - 6$

$\hookrightarrow \: 7.5 - 6$

$\mathrm{\hookrightarrow \: 1.5 \: units}$

perimeter = 5 × side length ( for a regular pentagon )

$\hookrightarrow \: 1.5 \times 5$

$\boxed{ \boxed{ \: \: \: \: \: \: \: \: 7.5 \: \: units \: \: \: \: \: \: \: }}$

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