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DerKrebs [107]
4 years ago
7

PLEASE HELP!! Which statement about the equation is true? 5(n+10)=5n+10n. A. The equation has one solution. B. The equation has

no solution. C. The equation has a few solutions. D. The equation has many solutions.
Mathematics
2 answers:
Valentin [98]4 years ago
8 0
A) your answer will be n=5

Alla [95]4 years ago
5 0
5(n+10)=5n+10n
5n+50=15n
minus 5n both sides
50=10n
divide by 10 both sides
5=n
1 solution

A is answer
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Answer: See explanation

Step-by-step explanation:

ΔLNM and ΔLKN are 30°- 60°- 90° triangles

We have to find the length of LN before we can find the length of MN.

<em>In a 30°- 60°- 90° triangle, the length of the hypotenuse is 2 times the length of the shorter leg, and the length of the longer leg is the length of the shorter leg times √3</em>

Since the hypotenuse is 6, the short leg would be 3 since the hypotenuse is 2 times the length of the short leg.

LN = √3 times the shorter leg

3 × √3 = 3√3

LN = 3√3

We now know the length of the longer leg in ΔLNM (3√3)

MN would be 3√3 × √3

3√3 × √3

= 3√9

= 3 × 3 = 9

MN = 9

ΔLKM is also a 30° - 60° - 90° triangle

The short leg is 6 m

The hypotenuse would be 12 m

The longer leg would be 6√3

Perimeter: 6 + 12 + 6√3

The perimeter is 18 + 6√3

Area: 1/2 × b × h

b = 6√3

h = LN = 3√3

6√3 × 3√3

18√9 = 18 × 3 = 54

Area: 54 m²

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