Answer:
x = 10
Step-by-step explanation:
2) -3x + 17 = -x - 3
4) 20 = 2x
1) -3x + 12 + 5 = -x -3
5) 10 = x
3) 17 = 2x - 3
<u>-3(x - 4) + 5 = -x - 3</u>
<u>-3x + 12 + 5 = -x - 3</u>
<u>-3x + 17 = -x -3</u>
<em>+3x +3x</em>
<u>17 = 2x - 3</u>
<em>+3 + 3</em>
<u>20 = 2x</u>
<u>10 = x</u>
<u />
I hope that this helps! :)
Answer:
50
Step-by-step explanation:
The total is 200 and 25% are juniors so u multiply 200 by 25%
Hope this helps
Correct me if this is wrong
Answer:
4
Step-by-step explanation:
Both triangles are the same shape, just to different scales. In order to find out the length of side AB in triangle ABC, you have to find out the length of side PQ in triangle PQR and how much bigger than side AB is.
You can tell that sides AC and PR are similar, and 30/5 is 6. You see also that sides BC and QR are similar, and 42/7 is also 6. We have now discovered that triangle PQR is 6 times bigger than triangle ABC.
So now, to find the length of the missing side, we have to shrink side PQ by 6. 24/6 is 4. Therefore, the length of side AB is 4.
Angle QPS is an inscribed angle. Arc QS is the intercepted arc of that angle. The rule is that the intercepted arc is twice its angle measure. P measures 20 degrees, so arc QS measures 40 degrees. It just so happens that angle QTS is ALSO an inscribed angle intercepting arc QS. So angle QTS measures the same as angle P, 20 degrees. That's a. For b., we already stated the rule and figured out that minor arc QS is 40 degrees. For c., major arc QTS is 360 (the measure around the outside of a circle...EVERY circle in the world) minus the minor arc of 40. So major arc QTS measures 360 - 40 which is 320 degrees. There you go!
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