In ABC, what is the value of x

5.5
6.5
55
65

( B ) x = 6.5

Step-by-step explanation:

We know that all the angles of a triangle equal 180 when added together. So lets make an equation for this question.

(10x-10) + (10x+8) + 8x = 180

I just took all the angles and added them together to make 180. Now solve for x.

10x - 10 + 10x + 8 + 8x = 180 (combined like terms)

28x -2 = 180 (added 2 to both sides)

28x = 182 (divided both sides by 28)

x = 6.5

560

hope this : )

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4