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Arada [10]
3 years ago
9

Anyone know the answer???

Mathematics
1 answer:
Umnica [9.8K]3 years ago
8 0

Answer:

k = 10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

115 = (4k+5) + (6k+10)

Combine like terms

115 = 10k+15

Subtract 15 from each side

115-15 = 10k +15-15

100 = 10k

Divide by 10

100/10 = 10k/10

10 =k

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How many solutions does the following equation have?
IrinaK [193]
Answer:
Exactly one solution

Explanation:
The first step we need to take to find the answer is to find the value of y.

7(y+3)=5y+8
Expand the parentheses
7y+21=5y+8
Subtract both sides by 21
7y+21-21=5y+8-21
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Subtract both sides by 5y
7y-5y=5y-13-5y
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Divide both sides by 2
2y/2=-13/2
y=-6.5

Now, we plug y back into the original equation.

7(y+3)=5y+8
7(-6.5+3)=5(-6.5)+8
Expand the parentheses
-45.5+21=-32.5+8
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Because both sides of the equation is equal and the equation is true, we can conclude that the equation has one solution.

I hope this helps!
7 0
3 years ago
The lengths of the sides of a triangle or an extended ratio 7 8 and 9 the perimeter of the triangle is 48 cm what are the length
julsineya [31]

Answer:

14cm, 16 cm, 18 cm

Step-by-step explanation:

Note that

= a:b: c = 7:8:9

We have to find the sum of the proportion

Sum of proportion = 7 + 8 + 9

= 24

Length of side a

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Length of side b

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Length of side a

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What are the lengths of the sides?

The lengths of the sides of the triangle in cm are

14cm, 16 cm, 18 cm

4 0
2 years ago
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