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4 years ago

How big is angle theta? thank you in advance for your help!

Mathematics

1 answer:

DerKrebs [107]4 years ago

3 0

Answer:

Θ = 124°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n - 5, thus

sum = 180° × 3 = 540°

Sum the given interior angles and equate to 540

2x - 3 + 2x + 7 +3x - 4 + 3x - 4 + 3x - 2 = 540, that is

13x - 6 = 540 ( add 6 to both sides )

13x = 546 ( divide both sides by 13 )

x = 42

Thus

Θ = 3x - 2 = 3(42) - 2 = 126 - 2 = 124°

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3 years ago

Find m (-3x + 20) (-2x + 55)

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Step-by-step explanation:

Simplifying

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Remove parenthesis around (55 + -2x)

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75 + -5x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-75' to each side of the equation.

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3 years ago

Given: 7x/2 < 5. Choose the solution set.

Aleksandr [31]

we need to move the 5 to the left side in order to be left with zero:
 $(7x/2)-5\ \textless \ 0$
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$\frac{7x-10}{2} \ \textless \ 0$
Evaluate/Solve the equation :
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3 years ago

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