All categories

3 years ago

In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint

Mathematics

1 answer:

Korolek [52]3 years ago

8 0

Answer:

Step-by-step explanation: 2(4x+6)=

\,\,34-3x

34−3x

Since HJ is a midsegment, twice HJ is equal to EG.

8x+12=

\,\,34-3x

34−3x

Distribute.

8x+12=

\,\,-3x+34

−3x+34

Communicative property to change the order

\color{red}{+3x}\phantom{+12}\phantom{=}

+3x+12=

\,\,\color{red}{+3x}\phantom{+34}

+3x+34

+3x to both sides.

11x+12=

\,\,34

\phantom{11x}\color{red}{-12}\phantom{=}

11x−12=

\,\,\color{red}{-12}

−12

-12 to both sides.

11x=

\,\,22

\frac{11x}{11}=

11x

\,\,\frac{22}{11}

Divide both sides by 11

\,\,2

Value of x

HJ=

\,\,4x+6

4x+6

Value of HJ

HJ=

\,\,4(2)+6

4(2)+6

Plug in x.

HJ=

\,\,8+6

8+6

Multiply.

HJ=

\,\,14

You might be interested in

tia_tia [17]

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\$

$\bf \cfrac{smaller}{larger}\qquad \cfrac{s^2}{s^2}=\cfrac{18}{32}\implies \left( \cfrac{s}{s} \right)^2=\cfrac{18}{32}\implies \cfrac{s}{s}=\sqrt{\cfrac{18}{32}}
\\\\\\
\cfrac{s}{s}=\cfrac{\sqrt{18}}{\sqrt{32}}\implies \cfrac{s}{s}=\cfrac{\sqrt{9\cdot 2}}{\sqrt{16\cdot 2}}\implies \cfrac{s}{s}=\cfrac{\sqrt{3^2\cdot 2}}{\sqrt{4^2\cdot 2}}\implies \cfrac{s}{s}=\cfrac{3\sqrt{2}}{4\sqrt{2}}
\\\\\\
\cfrac{s}{s}=\cfrac{3}{2}$

6 0

3 years ago

A pair of vertical angles has measures (3x + 4) and ( 73 – 9) What is the value of x?

sergij07 [2.7K]

Answer:

Step-by-step explanation:

Vertical angles are always equal to each other. So the answer is

3x + 4 = 73 - 9 Are you sure this is what the question is?

3x + 4 = 64 Subtract 4 from both sides

-4 -4

3x = 60 Divide by 3

3x/3 = 60/3

x = 20

6 0

2 years ago

11. 33 is what percent of 75?

alukav5142 [94]

If you would like to know what percent of 75 is 33, you can calculate this using the following steps:

x% of 75 is 33
x% * 75 = 33
x/100 * 75 = 33 /*100/75
x = 33 * 100 / 75
x = 44%

Result: 44% of 75 is 33.

8 0

2 years ago

Read 2 more answers

Find the third side in simplest radical form: 6 3

stiks02 [169]

Put a picture so i can answer

4 0

2 years ago

Let p: x= 4

Mila [183]

Answer:

p ➔ q

Step-by-step explanation:

p ➔ q means if p=4, then q=-2.

7 0

3 years ago