Question

Help with this math

Answer 1

The answerscan be calculated by doing the following steps;

Explanation:

Answer 2

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°

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°