X = 25.5 mm.
Using the similarity statement given, that ΔABC ~ ΔDEF, we set up a proportion:
8.5/x = 4/12
Cross multiply:
4*x = 8.5*12
4x = 102
Divide both sides by 4:
4x/4 = 102/4
x = 25.5
Answer:
Step-by-step explanation:
Sec B
1) 5p⁻³ = 8*5⁻²
p⁻³ = 2³*5⁻²/5
p⁻³ =2³*5⁻³ { 1/a^m = a^-m}
p⁻³ = 5⁻³ /2⁻³ {a^m = 1/a^-m}
p⁻³ = (5/2)⁻³
p= 5/2
2) 4x² = 81
x² = 81/4
x² = 9² /2²
x² =(9/2)²
x = 9/2
3) 9^x/3 =81
9^x/3 = 9^2
Comparing the powers, x/3 = 2
x = 2*3 =6
x = 6
Answer:
15
Step-by-step explanation:
.5 * 30 = 15