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natta225 [31]
2 years ago
11

Geometry math question

Mathematics
2 answers:
lawyer [7]2 years ago
4 0

Supplementary angles add up to 180

so (2x + 3) + (3x + 2) = 180

.

<u>Solve x:</u>

2x + 3 + 3x + 2 = 180

5x + 5 = 180

5x = 175

x = 35

.

<u>Find the angles:</u>

One angle = (2x + 3) = 2(35) + 3 = 73°

Other angle = (3x + 2) = 3(35) + 2 = 107°

.

Answer: The two angles are 73° and 107°

Paladinen [302]2 years ago
4 0

Because this angles are supplementary,

(2x+3)+(3x+2) = 180

5x+5=180

5x=175

x=35

2x+3=2*35 + 3 = 73⁰

3x+2=3*35+2 =107⁰

Answer is B.

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If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3
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\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

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3 years ago
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