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Soloha48 [4]
3 years ago
15

Solve the system of equations

Mathematics
1 answer:
Elden [556K]3 years ago
6 0

Answer:

Step-by-step explanation:

-4x + 2y = -30

-2x + 2y = -10

-4x + 2y = -30

 2x - 2y = 10

-2x = -20

x = 10

-2(10) + 2y = -10

-20 + 2y = -10

2y = 10

y = 5

(10, 5)

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Two triangles are similar.The the smaller triangle has side 10,20 and 15 units the larger triangles longest side is 52 units.Wha
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Answer: The perimeter of the largest triangle = 117 units.

Step-by-step explanation:

Sides of smaller triangle = 10,20 and 15 units

Longest side = 20 units

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Sides of two similar triangles are proportional.

Let k be proportionality constant.

k=\dfrac{\text{Length in larger triangle}}{\text{Length in smaller triangle}}

k=\dfrac{52}{20}\\\\\Rightarrow\ k=\dfrac{13}{5}

Length of other two sides,

10\times\dfrac{13}{5}, 15\times\dfrac{13}{5}\ i.e.\ 26\text{ units}, 39\text{ units.}

So sides of larger triangle = 52 units, 26 units , 39 units

Perimeter of largest triangle = 52 +26+39 = 117 units

Hence, the perimeter of the largest triangle = 117 units.

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