Answer:
△PQR and △RST are not similar.
Step-by-step explanation:
In triangle △PQR, two known interior angles are 34° and 80°. So the measure of third angle is

In triangle △RST, two known interior angles are 24° and 90°.

Two triangles are similar if their corresponding angles are same and the corresponding sides are proportional.
Since the angles of △PQR and △RST are not same, therefore we can say that the △PQR and △RST are not similar.
2 x 2 x 5 x 5 x 5
2^2 x 5^3
Distance formula sqrt((x2-x1)^2 + (y2-y1)^2))
Sqrt((4-2)^2+(-7+3)^2)
Sqrt(2^2+4^2)
Sqrt(4+16)
Sqrt(20)
2sqrt5.
The second choice is the correct answer.
<h3>
Answer: Choice B</h3>
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Explanation:
Here's a slightly more detailed breakdown of what's going on
3x + 2y = 15 ... start with the first equation
3x + 2( y ) = 15 .... the parenthesis don't change the expression
3x + 2( 3x+5) = 15 ... replace y with 3x+5; since y = 3x+5
From here, you solve for x like you would any other single variable equation. Once you know x, you can determine y through y = 3x+5.