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klio [65]
3 years ago
12

The measure of the angles of a triangle is 35. The sum of the measures of the other two angles is 145 and the difference between

their measures is 15. What are the measures of the unknown angles?
Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0
Let x and y represent the measure of the unknown angles
x+y=145
x-y= 15
2x=160 (Use the elimination. method)
2/2x=160/2
x=80
80° is the measure of one of the unknown angles
x+y=145
80+y=145
-80 -80
y=65
The measure of the second unknown angle is 65°

Thus the measure of the unknown angles are 80° and 65°
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Step-by-step explanation:

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5 years ago, Cheryl was d years old, Brandon is 2 years older than Cheryl.
lana [24]

Answer: See explanation

Step-by-step explanation:

a. how old is Cheryl?

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Cheryl age five years ago = d

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d. what is the sum of their ages now?

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f. what will the difference of their ages be two years from now

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Difference = Brandon age - Cheryl age

= (d + 9) - (d + 7)

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4 0
2 years ago
Find the height of a rectangular prism if the surface are is 288 square centimetres and the base has a length of 4 centimetres a
liraira [26]
The rectangular prism below is made up of 6 rectangular faces, and the faces opposite to each other are have an equal area.
The area of one of the faces is lxh or lh, and the area of the face opposite to it is also equal, so the area of those two equal faces is 2lh.
The area of the base of the prism is lxw, and the area of its opposite face is equal, so the area of those two equal faces is 2lw.
The area of the face in the left side of the prism is wxh, and the area of the face opposite to it is also equal, so their combined area is 2wh.
So, to find the total surface area of a rectangular prism, we’d add the sum of all the rectangular faces, so the formula of finding the surface area of a rectangular prism=
2lh+2lw+2wh
=2(lh+lw+wh)
Given,
Surface area of the rectangular prism=288 cm^2
2(lh+lw+wh)=288
2[4h+(4x9)+9h)]=288
4h+(4x9)+9h=288/2
4h+(4x9)+9h=144
13h+36=144
13h=144-36
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h=108/13
h=8.308 cm
Hope this helps!

8 0
3 years ago
Compare the rate at which each of the three students read.
laiz [17]

Answer:

here is the ANSWER-Connie : 1min = 200 words

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What is the common difference for the sequence shown below? coordinate plane showing the points 1, 5; 2, 2; and 3, negative 1?
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The correct answer to this problem would be -3. Based on the points you've provided on the graph, -3 would be the correct common difference. :)
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3 years ago
Read 2 more answers
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