You need to add up three things:
- two sides of 60" each (60*2=120")
- the perimeter of the upper semicircle (3.14*27/2=42.412")
- the perimeter of the lower semicircle (3.14*27/2=42.412")
After addition:
120+42.412+42.412=204.823"
I hope you got
the idea!
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To find the measure of angle OPQ, we have two equations...
y+5x-17=180 because angles OPN and OPQ are supplementary...
AND
x+17+2x-4+y=180 because the total degrees of a triangle must add up to 180.
The equations...
5x+y=197
3x+y=167
solce the system of equations...
x=15
y=122
Since we wanted to solve for y, 122 is the answer.
The measure of angle OPQ is 122.
Sorry this took forever. The website is hard to use because I'm used to using the app:)
Best of wishes!
Answer:
Step-by-step explanation:
The given equation is expressed as
x1 + 2x2 = -24- - - - - - - - --1
x1 + 7x2 = -11- - - - - - - --2
We would eliminate x1 by subtracting equation 2 from equation 1. It becomes
- 5x2 = - 13
Dividing both sides of the equation by - 5, it becomes
- 5x2/- 5 = - 13/- 5
x2 = 13/5
Substituting x2 = 13/5 into equation 2, it becomes
x1 + 7 × 13/5 = -11
x1 + 91/5 = - 11
x1 = - 11 - 91/5
x1 = - 146/5
Answer:
A) 3x
Step-by-step explanation:
The total of all the volumes is ...
(x -1) + (x) + (x +1) = (1+1+1)x +(-1+1) = 3x+0 = 3x . . . . . matches choice A