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3 years ago

A. 5x - 2 = 8b. 4x - 3= 2x + 9C. 6x + 3 = 2x + 8

Mathematics

1 answer:

Elena L [17]3 years ago

4 0

Answer:

a) x=2

b)x=12

c)x=5/4

Step-by-step explanation:

a)5x-2=8

5x=8+2

5x=10

x=2

b)4x-3=2x+9

4x-2x=9+3

2x=12

x=6

c)6x+3=2x+8

6x-2x=8-3

4x=5

x=5/4

Proof:

a)5x-2=8

5(2)-2=8

10-2=8

8=8

b)4x-3=2x+9

4(12)-3=2(12)+9

48-3=24+9

45=45

c)6x+3=2x+8

6(5/4)+3=2(5/4)+8

30/4+3=10/4+8

15/2+3=5/2+8

10.5=10.5

Hope this helps ;) ❤❤❤

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Naddik [55]

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3 years ago

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3 years ago

Find the value of x and y

Natalija [7]

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

What does the information want:

value of x
value of y

Let's gather some information:

ΔA'BC' and ΔABC are similar triangles

⇒ Angle B is shared by both triangles

⇒ Angle A' and A are the same, as they are both on parallel

lines, A'C' and AC, and both angles are formed with the

same line AB

⇒ by the Angle-Angle Theorem*, they are similar triangles

If they are similar triangles:

⇒ their side lengths are proportional to each other

let's find x's value

⇒ let's set up a proportion

$\frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143$

let's find y's value

⇒ let's set up a proportion

$\frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25$

Answer:

x= 17.143
y = 26.25

Hope that helps!

#LearnwithBrainly

5 0

2 years ago

A. 5x - 2 = 8b. 4x - 3= 2x + 9C. 6x + 3 = 2x + 8​

A. 5x - 2 = 8b. 4x - 3= 2x + 9C. 6x + 3 = 2x + 8