Answer:
<em>Similarity doesn't changes angle measures</em>
- ∠U = 56°, ∠U' = 3x - 16
- ∠U = ∠U'
a) 3x - 16 = 56 ⇒ 3x = 72 ⇒ x = 24°
b) ∠T = x + 46 = 24 + 46 = 70°
c) <u>Scale factor:</u>
- k = S'T'/ST = 19/57 = 1/3
<u>Find y using known sides and scale factor:</u>
- U'V'/UV = 1/3
- (y + 4)/63 = 1/3
- y + 4 = 21
- y = 21 - 4
- y = 17
Angles in a triangle must add up to 180°, so you could use this information to find the values of the angles. 1 + 2 + 2 = 5, 180 ÷ 5 = 36. 36 × 2 = 72, so 36 + 72 + 72 = 180. This means that the answer is A. acute, because all of the angles are below 90°. I hope this helps!
Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
<u>Step-by-step explanation:</u>
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) <em>see graph</em>
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 <em>when simplified</em>
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<em>To find the distance, use the distance formula OR pythagorean theorem.</em>
Subtract 70 minus 2 hope this helps even though it might be wrong