- The angles are supplementary angles
- The measure of angle m<1 and m<2 are 72 and 108 degrees respectively
Find the diagram attached. From the figure, the sum of the angles m<1 and m<2 are supplementary
Given the following angles
m<1 = 2x + 6
m<2 = 3x + 9
Since both angles are supplementary, hence;
2x + 6 + 3x + 9 = 180
5x + 15 = 180
5x = 180 - 15
5x = 165
x = 165/5
x = 33
Get the measure of m<1;
m<1 = 2x + 6
m<1 = 2(33) + 6
m<1 = 66 + 6
m<1 = 72degrees
Get the measure of m<2:
m<2 = 180 - m<1
m<2 = 180 - 72
m<2 = 108degrees
Hence the measure of angle m<1 and m<2 are 72 and 108 degrees respectively
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Answer:
41.667 to the nearest thousandth.
Step-by-step explanation:
z = kx/y where k is the constant of proportionality.
Inserting the given values:
66.666666666667 = k*20/6
20k = 6*66.666666666667
k = 6*66.666666666667 / 20
= 20
So the equation of variation is z = 20x /y
When x = 25 and y = 12:
z = 20*25/12
= 41.666666666667.
Answer:
Step-by-step explanation:
Let J = Jerry's age
Let M = Mary's age = 2J
M - 16 = J + 16
Substitute 2J for Mary's age
2J - 16 = J + 16
2J - J - 16 = 16
J = 16 + 16
J = 32
Jerry is 32.
Mary is twice as old as Jerry.
Mary is 2(32) = 64