Answer:
A
Step-by-step explanation:
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
Answer:
40 degrees
Step-by-step explanation:
Complementary angles have a sum of 90.
y = 90 - x
The angle is 260 degrees less than six times its complement.
y = 6x - 260
90 - x = 6x - 260
350 - x = 6x
350 = 7x
50 = x
This is the measure of the complement.
y = 90 - x
y = 90 - 50
y = 40
This is the measure of the first angle.
Answer:
530 grams
Step-by-step explanation:
970 grams = 0.970 kg
1 kg = 1000 grams
Thus: 500+30 = 530 grams
