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4 years ago

What is the value of x in the diagram?

Mathematics

1 answer:

Ksenya-84 [330]4 years ago

3 0

The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection

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Solve the equation 3x-2 4 - 2x - 5- 1 + x 3 6

Nataly_w [17]

Answer:

$\boxed{\sf x=12}$

Step-by-step explanation:

$\sf \cfrac{3x-2}{4}-\cfrac{2x-5}{3}=\cfrac{1+x}{6}$

First, let's find the LCM of 4, 3, and 6.

How to find the LCM:

→ List multiples of each number.

→ Find the smallest number on each list.

4: 4, 8, 12, 16, 20, 24..

3: 3, 6, 9, 12, 15, 18, 21, 24, 27....

6: 6, 12, 18, 24, 30, 36, 42...

LCM: 12

_________

Now, we'll Multiply by LCM:

$\sf \cfrac{3x-2}{4}\times \:12-\cfrac{2x-5}{3}\times \:12=\cfrac{1+x}{6}\times \:12$

Simplify:

$\sf 3\left(3x-2\right)-4\left(2x-5\right)=2\left(x+1\right)$

Now, expand, Apply the Distributive property:

$\bold{ 3\left(3x-2\right)-4\left(2x-5\right)}$

$\sf 9x-6-8x+20$

Combine like terms:

$\sf x+14$

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$\bold{ 2\left(x+1\right)}$

$\sf 2x+2$

$\sf x+14=2x+2$

Subtract 14 from both sides:

$\sf x+14-14=2x+2-14$

Simplify:

$\sf x=2x-12$

Subtract 2x from both sides:

$\sf x-2x=2x-12-2x$

Simplify:

$\sf -x=-12$

Divide both sides by -1:

$\sf \cfrac{-x}{-1}=\cfrac{-12}{-1}$

$\sf x=12$

7 0

2 years ago

Can anyone solve for x?

seraphim [82]

Answer:

if all the corners are 90 degree angles:

x = -12

Step-by-step explanation:

2x+3 = x-9

x = -12

6 0

3 years ago

Read 2 more answers

Need some help (Geo) (not graded)

Elis [28]

Answer:

*Scratches head..... This is to hard.

7 0

3 years ago

Three times a number increased by 4 is 13. show steps please brainliest if right

soldi70 [24.7K]

3 times 3 increased by 4 is equal to 13

3*3=9
9+4=13

6 0

3 years ago

This one @JazzFrazz06

Alja [10]

So by the look of it angle D is 90, and because the hypotenuse on both triangles are the same that means that both triangles are the same, so Y would be 2. Also once again a triangles angles add up to 180 and we know that one angle is 51 and the other is 90 then you need to add them together getting 141 and subtract that from 180, getting an answer of 39, if my calculations are correct then X=39 and y=2

3 0

3 years ago