Step-by-step explanation:
I= (4 + x ) * 5 E= x
I: 52 more than Emma
(4+x) * 5 = x + 52
20 + 5x = x + 52
5x - x = 52 - 20
4x = 32
x = 8
so then
E= 8
I= 12 × 5 = 60
Problem One
Find AM
AM = 71.5 - 22 = 49.5
Step Two
State the Givens.
AM = 49.5
MN = 71.5
MB = x
MP = 97.5
Step Three
Set up the Proportion
AM : NM :: x : PM
49.5 : 71.5 :: x : 97.5
Substitute and solve
49.5 / 71.5 = x / 97.5 Cross Multiply
49.5 * 97.5 = 71.5 * x Combine the numbers on the left.
4860.375 = 71.5 * x Divide by 71.5
4860.375 / 71.5 = x
x = 67.98
Problem Two
Remark
This is just a straight application of the Pythagorean Theorem
a^2 + b^2 = c^2
a = 10
b = 24
c = ??
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt(c^2) = sqrt(676)
c = 26 <<<< answer
The answer would be 140° or D because supplementary means the angles add up to 180°. Therefore, 180°-40°=140°