Answer:
radical (81) = 9
radical (90) = 3 radical(10)
radical (49) = 7
radical (32) = 4 radical(2)
FG= 15
XZ = 6x-6
m<QAR = 34°
m<RAS = 38°
Step-by-step explanation:
for part 1
using prime factorization
81= 9×9 = 9^2
√9^2 = 9
90= 3×3×10 = 3^2 ×10
√90 = 3√10
49= 7×7
√49=7
√32= 4×4×2
√32=4√2
part 2
FG = EG - EF
= 22 - 7
= 15
PART 3
XZ = XY + YZ
= 4x-12 + 2x+6
= 6x-6
part 4
m<QAR = 3x+10
m<RAS = 5x-2
m<QAS = 72°
m<QAR + m<RAS = m<QAS
3x+10 + 5x-2 = 72
8x+8 = 72
divide by 8
X+1=9
X=8°
substitute in
m<QAR = 34°
m<RAS = 38°
