Since G=H
sub g into h
H+H+F= perimeter
1) Change the word problem into an equation:
.5x+x=213.75 where x equal the amount of money Dave earns.
2) Combine the like terms: .5x+x=1.5x
3) Now solve: 1.5x=213.75 and use multiplicative inverse to get your answer of 142.5
4) Now wait, this is the amount Dave earns not the amount Monsiha earns, however we know that Monsiha earns half that, therefore:
142.5÷2=75.25
The answer would be 'Monsiha raised $75.25 in total'.
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Answer: ![m\angle EYL=96\°](https://tex.z-dn.net/?f=m%5Cangle%20EYL%3D96%5C%C2%B0)
Step-by-step explanation:
For this exercise you need to use the formula for calculate the measure of the angle formed by two tangents intersecting outside of a circle. This is:
![Angle\ formed \ by\ two\ tangents = \frac{1}{2}(Difference\ of\ Intercepted\ Arcs)](https://tex.z-dn.net/?f=Angle%5C%20formed%20%5C%20by%5C%20two%5C%20tangents%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28Difference%5C%20of%5C%20Intercepted%5C%20Arcs%29)
According to the information given in the exercise, you know that:
![Angle\ formed \ by\ two\ tangents = m\angle EYL\\\\Difference\ of\ Intercepted\ Arcs=m LVE-mLHE](https://tex.z-dn.net/?f=Angle%5C%20formed%20%5C%20by%5C%20two%5C%20tangents%20%3D%20%20m%5Cangle%20EYL%5C%5C%5C%5CDifference%5C%20of%5C%20Intercepted%5C%20Arcs%3Dm%20LVE-mLHE)
Since there are 360 degrees in a circle, you can determine that:
![mLVE=360\°-mLHE\\\\mLVE=360\°-84\°\\\\mLVE=276\°](https://tex.z-dn.net/?f=mLVE%3D360%5C%C2%B0-mLHE%5C%5C%5C%5CmLVE%3D360%5C%C2%B0-84%5C%C2%B0%5C%5C%5C%5CmLVE%3D276%5C%C2%B0)
Therefore, knowing these values, you can substitute them into the formula given above and the evaluate, in order to find the measure of the angle EYL. This is:
![m\angle EYL=\frac{1}{2}(276\°-84\°) \\\\m\angle EYL=96\°](https://tex.z-dn.net/?f=m%5Cangle%20EYL%3D%5Cfrac%7B1%7D%7B2%7D%28276%5C%C2%B0-84%5C%C2%B0%29%20%5C%5C%5C%5Cm%5Cangle%20EYL%3D96%5C%C2%B0)
25=2,500, 278= 27800%, 2.9=290, 3.0=300, 0.67= 67
Answer:
x = 2
Step-by-step explanation:
4(x - 1) = 2(6 - 2x)
4x - 4 = 12 - 4x
4x + 4x = 12 + 4
8x = 16
![x=\frac{16}{8}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B16%7D%7B8%7D)
x = 2