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AveGali [126]
3 years ago
6

PLZ HELP ASAP SOLVE SIMMILAR TRAINGLES

Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0
The two similar triangles in the figures are:

a) ABC
b) ADE

For triangle ABC, the two sides are x and 6.
For triangle ADE, two corresponding sides are (x+8) and 8

For similar triangles, the ratio of corresponding sides is the same.

So, we can write:

\frac{x}{6}= \frac{x+8}{8}   \\  \\ 
8x=6(x+8) \\  \\ 
8x=6x+48 \\  \\ 
2x=48 \\  \\ 
x=24


Thus, the value of x will be 24
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Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2
Vlad [161]

<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}

Isolating x from equation 1:

\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}

Substituting equation 3 into equation 2 and solving for y:

\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}

6 0
1 year ago
Find the value of x 125 155
Solnce55 [7]

The value of x is 125 degrees from the given diagram

<h3>Lines and angle</h3>

Find the diagram attached

From the diagram, we can see that line l is parallel to line m, hence we can conclude that:

x = 125 degrees (The angles are corresponding angles)

Hence the value of x is 125 degrees from the given diagram

Learn more on line geometry here: brainly.com/question/1655368

5 0
2 years ago
Read 2 more answers
For which value of x is the equation 4x + 24 = 8x + 2x true?
Paha777 [63]

Answer:

x=4

Step-by-step explanation:

4x+24=8x+2x

4x+24=10x

-4x     -4x

24=6x

/6   /6

x=4

3 0
3 years ago
Rewrite without paraentheses and simply <br> (Y-2)^2
german

show how to simply that

(y-2)^2

(y-2)(y-2)

Y^2-2y-2y+4

y^2-4y+4

the answer was y^2-4y+4

hope that helps you!!!!

6 0
3 years ago
Which technique is most appropriate to use to solve each equation drag the name of the technique into the boxing match each equa
alina1380 [7]

Answer: graphing

Step-by-step explanation:

6 0
3 years ago
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