What is the circumference (in units)?
1 answer:
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Answer:
A
Step-by-step explanation:
If lines are parallel and intersected by another line then there are 2 alternating angles between them.
<em><u>Simplified </u></em><em><u>Recap:</u></em>
PQR and XYR are similar.
PQ: 4 inches (shortest side)
PR: 9 inches
QR: 12 inches (longest side)
<em><u>Solving:</u></em>
Because they are similar triangles, we know that the sides of one triangle are proportional to the ones on the other. Therefore, the smallest side of PQR is proportional to the smallest side of XYZ. Now, we just need to figure out the constant of proportionality , and we can do that by dividing the smallest side of XYZ triangle by the smallest side of PQR.
Now we know that the constant of proportionality is 4. All we have to do now is solve the problem. The question is asking what the longest side of XYZ is, and to find that we just need to multiply the longest side of PQR by our constant of proportionality.
Therefore, our answer is 48.
Answer:
y = 11, x = 76/6
Step-by-step explanation:
We will start by finding y
92 + 8y = 180 we know this because the angle degree of one line is 180 you can just do simple elimination to solve this
92+ 8y = 180 subtract 92 from both sides
8y = 88 then divide both sides by 8 and you get
y = 11
Now for x we know the blank angle is equal to 88 because of vertical angles
so now it is 88 + ( 6x - 16) = 180 again we do elimination
88 + 6x - 16 = 180 subtract 88 from both sides and you get
6x - 16 = 92 then subtract 16
6x = 76 then divide both sides by 6 and get
hope this helps :)