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mamaluj [8]
3 years ago
9

In the figure, ΔABC ΔEDC. Solve for x. Show your work.

Mathematics
2 answers:
rjkz [21]3 years ago
6 0

Answer:

x = 13

Step-by-step explanation:

Since the Two triangles are equivalent then angles B and D are isometric

i e  8x+16=120 then 8x=120-16 then 8x=104 then x=104÷8=13

:)

lys-0071 [83]3 years ago
5 0

Answer:

x=13°

Step-by-step explanation:

It is given that triangles ABC and EDC are similar, therefore angles ABC and EDC have the same measurement. Using this information, we can set up an equation.

(8x+16)=120

We can remove the parentheses, as they are unnecessary.

8x+16=120

We can now solve the equation for x. The first step is subtracting 16 from both sides.

8x=104

We can now divide both sides by 8, to isolate x. 104/8=13.

x=13

Lets not forget to add the degree symbol, as the problems is dealing with degrees.

x=13°

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Please explain how to find the answer
irina1246 [14]

Answer:

\rm x=\frac{46}{3}

\rm y=-\frac{25}{24}

Step-by-step explanation:

\huge\begin{array} {|c|} \hline\left. \begin{cases} {   \rm\frac{ 1  }{ 4  }  x+ \frac{ 4  }{ 5  }  y =  3  } \\ {   \rm\frac{ 5  }{ 16  }  x- \frac{ 1  }{ 5  }  y=5  }  \end{cases} \right. \\  \hline \end{array}

\\ \Large \overline{ \rm -   \: Steps \:  using  \: substitution \: - }

\rm \frac{1}{4}x+\frac{4}{5}y=3

\rm \frac{1}{4}x=-\frac{4}{5}y+3

\rm x=4\left(-\frac{4}{5}y+3\right)

\rm x=-\frac{16}{5}y+12

┈

\rm \frac{5}{16}\left(-\frac{16}{5}y+12\right)-\frac{1}{5}y=5

\rm -y+\frac{15}{4}-\frac{1}{5}y=5

\rm -\frac{6}{5}y+\frac{15}{4}=5

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\bold{ y=-\frac{25}{24}}

┈

\rm x=-\frac{16}{5}\left(-\frac{25}{24}\right)+12

\rm x=\frac{10}{3}+12

\bold{ x=\frac{46}{3}}

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