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
the ladder leaning against the wall has slope 3
Answer:
13/8 = 1 5/8
Step-by-step explanation:
first make 3 1/4 into an improper fraction
3 1/4 = (3*4+1)/4 = 13/4
13/4 /2
we know that dividing by a number is multiplying by its reciprocal, so
(13/4)/2 = 13/4 * (1/2)
multiply the numerators together, and multiply the denominators together
13/4 * (1/2) = (13*1)/(4*2) = 13/8 = 1 5/8
Answer:
x=-1 1/2,x=-1.5
Step-by-step explanation: x=-3/2
Answer:
60 degree
Step-by-step explanation:
E,A,D is a straight line .
Straight line=180 degree
100+20=120 -180=60
therefore X=60