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Answer:
R(16,-8)
Step-by-step explanation:
if (x1,y1) and (x2,y2) are coordinates of two points and (x,y) the coordinate of midpoint.
then x=(x1+x2)/2
and y=(y1+y2)/2
let coordinates of R are (x,y)
4=(-8+x)/2
8=-8+x
x=8+8=16
-3=(2+y)/2
-6=2+y
y=-6-2=-8
so R is (16,-8)
The measures of angles are ![\bold{72^{\circ},108^{\circ} and 108^{\circ}}](https://tex.z-dn.net/?f=%20%5Cbold%7B72%5E%7B%5Ccirc%7D%2C108%5E%7B%5Ccirc%7D%20and%20108%5E%7B%5Ccirc%7D%7D%20)
<u>Solution:</u>
The angles opposite to each other are equal.
Angle 1 = Angle 3
Angle 2 = Angle 4
Given that one of the angle formed is ![72^{\circ}](https://tex.z-dn.net/?f=72%5E%7B%5Ccirc%7D)
Consider Angle 1 = ![72^{\circ},](https://tex.z-dn.net/?f=72%5E%7B%5Ccirc%7D%2C)
Hence Angle 3 is also ![72^{\circ}](https://tex.z-dn.net/?f=72%5E%7B%5Ccirc%7D)
Since the angle formed in a straight line is ![180^{\circ},](https://tex.z-dn.net/?f=180%5E%7B%5Ccirc%7D%2C)
Angle 1 + Angle 2 = ![180^{\circ}](https://tex.z-dn.net/?f=180%5E%7B%5Ccirc%7D)
+ Angle 2 = ![180^{\circ}](https://tex.z-dn.net/?f=180%5E%7B%5Ccirc%7D)
Angle 2 = ![108^{\circ}](https://tex.z-dn.net/?f=108%5E%7B%5Ccirc%7D)
Hence angle 4 is also ![108^{\circ}](https://tex.z-dn.net/?f=108%5E%7B%5Ccirc%7D)
Housing is 21% of the total budget
Step-by-step explanation:
<u>Step 1: List all the categories and the amount spent on them</u>
Housing $1,302
Taxes $1,550
Food $558
Clothing $124
Entertainment $124
Transportation $372
College Savings $558
Retirement Savings $558
Gasoline $248
Emergency Savings $310
Utilities $496
<u>Step 2: Calculate the total amount being spent in a month</u>
<em>Add all the categories</em>
Total = 1302 + 1550 + 558 + 124 +124 + 372 + 558 + 558 + 248 + 310 + 496
Total = 6200
<u>Step 3: Calculate the percentage of amount spent on housing</u>
Percentage =
* 100
Percentage =
* 100
Percentage = 20.34% rounded up to 21%
Therefore, the amount spent on housing is 21% of the entire budget.
Keyword: Percentage
Learn more about percentage at
#LearnwithBrainly
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