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3 years ago

Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior.

Mathematics

2 answers:

Anna71 [15]3 years ago

4 0

Answer:

1. A

2. D

Step-by-step explanation:

1. Interior opposite angles are equal to 180⁰ therefore y + x = 180⁰

2. Alternate angles are equal

like if you see the letter Z, N, M or W, the angles are alternate. Like here it is letter Z.

SIZIF [17.4K]3 years ago

3 0

1. C) Consecutive Interior Angle
2.D) Alternate Interior Angle

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4 years ago

What is the x-intercepts of the graph of y = 12x-5x-2

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Hey there!

First, we see that it's already written in slope intercept, y = mx + b where m is the slope and b is the y intercept, we just need to simplify the like terms on the right. We have:

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3 years ago

Find the measure of 46.<br> 46 = [?]<br> 24°<br> 46

weqwewe [10]

Answer:

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3 years ago

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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

horrorfan [7]

Answer: The correct option is (B) 24 : 25.

Step-by-step explanation: Given that 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.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

$\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, the ratio of the area of R to the area of S is

$\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.$

Thus, the required ratio of the area of R to the area of S is 24 : 25.

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