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Y_Kistochka [10]
2 years ago
10

What are the measures of Angles a, b, and c? Show your work and explain your answers.

Mathematics
1 answer:
jolli1 [7]2 years ago
5 0
Answer: a = 40, b = 50, c = 115

Solution:
a = 40 (the vertical angles are equal)

b = 180 - 40 - a = 50 (the sum of interior angles of triangle is 180)

c = 180 - 65 = 115 (the linear theorem)
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ad-work [718]
I think the 3rd one idk wait for someone else to answer go compare
5 0
3 years ago
How many gallons each of 20​% alcohol and 10​% alcohol should be mixed to obtain 10gal of 11​% ​alcohol?
Scilla [17]

Answer:

20​% alcohol = 1 gal

10​% alcohol = 9 gal

Step-by-step explanation:

Let

x = 20​% alcohol

y = 10​% alcohol

x + y = 10 (1)

0.20x + 0.10y = 10*0.11

0.20x + 0.10y = 1.1 (2)

From (1)

x = 10 - y

Substitute x = 10 - y into (2)

0.20x + 0.10y = 1.1

0.20(10 - y) + 0.10y = 1.1

2 - 0.20y + 0.10y = 1.1

- 0.20y + 0.10y = 1.1 - 2

-0.10y = -0.9

y = -0.9/-0.10

y = 9 gal

substitute y = 9 into (1)

x + y = 10

x + 9 = 10

x = 10 - 9

x = 1 gal

20​% alcohol = 1 gal

10​% alcohol = 9 gal

6 0
3 years ago
Find the slope for these equations <br> y=-5(2x-3) <br><br> 10y+6x=-90<br><br> 12y -4x=-24
AleksAgata [21]
1) 2x 2) 6x 3) -4 There you go
5 0
3 years ago
Read 2 more answers
A certain high school reported that only 74% of its students enroll in a math class during senior year. If
denis-greek [22]

Answer:

<em>550 </em><em>students are in the school.</em>

Step-by-step explanation:

The way I found my answer was by first turning<em> 74% into a decimal</em>, which is <em>0.74</em>.  Then I <em>divided 407 </em>by<em> 0.74</em> and I got<em> 550</em>.  Therefore, <em>550 is our answer.</em>

5 0
2 years ago
The rectangle below has an area of 70y^8+30y^6.The width of the rectangle is equal to the greatest common monomial factor of 70y
swat32

Answer:

Width 10y^6 units

Length 7y^2+3 units

Step-by-step explanation:

The rectangle has an area of 70y^8+30y^6.

The width of the rectangle is equal to the greatest common monomial factor of 70y^8 and 30y^6. Find this monomial factor:

70y^8=2\cdot 5\cdot 7\cdot y^8\\ \\30y^6=2\cdot 3\cdot 5\cdot y^6\\ \\GCF(70y^8,30y^6)=2\cdot 5\cdot y^6=10y^6

Hence, the width of the rectangle is 10y^6 units.

The area of the rectangle can be rewritten as

10y^6(7y^2+3).

The area of the rectangle is the product of its width by its length, then the length of the rectangle is 7y^2+3 units.

8 0
3 years ago
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