Answer:

Step-by-step explanation:
Square root of 9 is 3
20 is 4.472135955
27 is 5.19615242271
4.5 is intantly wrong because it is rational.
<span>b. (0.035)(50,000) + (0.065)(31,500)</span>
Given
R is the interior of ∠ TUV.
m∠ RUV=30degrees, m∠ TUV=3x+16, and m∠ TUR=x+10.
Find the value of x and the m ∠TUV.
To proof
As given in the question
m ∠TUV=3x+16, and m ∠TUR=x+10
thus
m∠ RUV = m∠ TUV - m∠ TUR
= 3x + 16 - x -10
= 2x + 6
As given
m ∠RUV=30°
compare both the values
we get
30 = 2x + 6
24 = 2x
12 = x
put this value in the m ∠TUV= 3x+16
m ∠TUV= 12× 3 +16
= 52°
Hence proved
Answer:
see explanation
Step-by-step explanation:
Multiplying or dividing each part of the ratio gives an equivalent ratio
Given
8 : 20 ← divide both parts by 2
= 4 : 10 ← divide both parts by 2
= 2 : 5 ← ratio in simplest form
Multiply both parts by 2
8 : 20 = 16 : 40
4 : 10, 2 : 5, 16: 40 ← are possible equivalent ratios
1.
area = L x w = 72
L = 2w
72 = 2w*w = 2w^2
divide by 2
36 = w^2
w = sqrt(36) = 6
l = 2*6 =12
perimeter = 2L +2W = 2*12 + 2*6 = 24+12 = 36
2.
sqrt(40)= 6.324555 cm ( round to 6.32 )
6.32 - 4 = 2.32 cm original length of a side