What is the value of X ?

What are the value of GH and GK?

The value of x is 7 cm

Step-by-step explanation:

we can see that there are two triangles

smaller triangle and larger triangle

and both triangles are similar

so, the ratio of their sides must be equal

we get

now, we can solve for x

we can cross multiply

Divide both sides by 5

Subtract both sides by 13

divide both sides by 2

i dont know

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15