Answer:
37%, 93%, 58%, 21%, 54%, 13%, 34%, 90%, 80%, 52%, 35%
Step-by-step explanation:
37/100 = 37%, 93/100 = 93%, 58/100 = 58%, 21/100 = 21%, 54/100 = 54%, 13/100 = 13%, 17/50 = 34/100 = 34%, 9/10 = 90/100 = 90%, 4/5 = 80/100 = 80%, 13/25 = 52/100 = 52%, 7/20 = 35/100 = 35%
The answer is -8 the angles of the triangle are 180 so
180=42+x+76+x+78
180=2x+196
2x=-16
x=-8
We know that the angles of a triangle sum to 180°. For ΔABC, this means we have:
(4x-10)+(5x+10)+(7x+20)=180
Combining like terms,
16x+20=180
Subtracting 20 from both sides:
16x=160
Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.
For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180
Combining like terms,
20x-20=180
Adding 20 to both sides:
20x=200
Dividing both sides by 20:
x=10
This gives us ∠A'=2*10+10=20+10=30°; ∠B'=8*10-20=80-20=60°; and ∠C'=10*10-10=100-10=90°.
Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.
