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Bond [772]
4 years ago
5

A rectangle has sides of 4x cm and x cm. the sides of the rectangle are all increased by the same length.if the perimeter of the

larger rectangle is 10x + 16, what is the length added to each side, in centimeters?
Mathematics
1 answer:
Verdich [7]4 years ago
4 0

Answer:

  4 cm

Step-by-step explanation:

The perimeter of the original rectangle is ...

  P = 2(L+W) = 2(4x + x) = 10x

The perimeter of the larger rectangle after we add "a" to each side is ...

  P = 2(L +W)

  = 2((4x+a) +(x+a))

  = 10x +4a = 10x +16

  4a = 16 . . . . . subtract 10x from both sides

  a = 4 . . . . . . . divide by 4

The length added to each side is 4 cm.

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8 0
3 years ago
Will give u brainlist
dusya [7]
The value of x equals 30.

Step by Step explanation:

All sides are equal so you know the angle lengths are equal. When you multiple 2x by 3 you get 6x. All angles of a triangle add up to 180 so you divide 180 by 6 and you get 30. Hope This Helps!
5 0
3 years ago
Sophia puts $250 in the bank with a 2.5% annual interest rate compounded monthly. If Sophia does not touch his money, how much m
Fittoniya [83]

Answer:

<h3> D) $276.26</h3>

Step-by-step explanation:

Deposited amount initially (P) = $250.

Rate of interest(r) = 2.5% compounded monthly = 0.025

Number of years (t) = 4.

Number of months in an year (n) = 12.

Formula for compound interest:

A=P(1+\frac{r}{n})^{nt}.

Plugging values in formula, we get

A= 250(1+\frac{0.025}{12})^{12\times 4}

A= 250(1.00208)^{48}

A= 250\times \:1.10506

A=276.26.

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7 0
3 years ago
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Fudgin [204]

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I know that my answer isn't a choice for one of the values of x but that's the result that I got when I solved (x–3)2 = 49.

6 0
3 years ago
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To find the change in the temperature, solve for the equation below.

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So, we are looking for the answer which indicates that the temperature changed by 9 degrees.

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3 years ago
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