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AfilCa [17]
2 years ago
12

The perimeter of the triangle at right is 52 units. Write and solve an equation based on the information in the diagram. Use you

r
solution for to calculate the length of each side of the triangle. Be sure to confirm that your answer is correct. Homework Help
7x-4/
19
Equation:
Solve: z
10x + 3
Length of each side:
Red side:
7x - 4
19
Blue Side:
Yellow Side:
10r+3
(hp

Mathematics
1 answer:
marysya [2.9K]2 years ago
3 0

Answer:

  • equation: (7x-4) +19 +(10x+3) = 52
  • x = 2
  • red: 10
  • blue: 19
  • yellow: 23

Step-by-step explanation:

The equation is based on the relation that the perimeter is equal to the sum of the side lengths.

  P = red + blue + yellow

  52 = (7x -4) +(19) +(10x +3)

  52 = 17x +18 . . . . . . . . . . . . . . simplify

  34 = 17x . . . . . . . . . . . . . subtract 18

  2 = x . . . . . . . . . . . . divide by 17

__

  red = 7(2) -4 = 10

  blue = 19

  yellow = 10(2) +3 = 23

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HELP!!!!!
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First off, let's convert the decimal to a fraction, notice, we have two decimals, so we'll use in the denominator, a 1 with two zeros then, two decimals, two zeros, thus   \bf 1.\underline{75}\implies \cfrac{175}{1\underline{00}}\implies \cfrac{7}{4}\implies \stackrel{ratio}{7:4}

now, we know then the ratio dimensions for the new photograph, 

\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\

\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
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\\\\\\
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