$\therefore AE = AC + CE\\\therefore AC = AE - CE\\\therefore AC = x + 50 - (x + 32) \\\therefore AC = x + 50 - x - 32 \\\therefore AC = 50 - 32 \\ \huge \red{ \boxed{\therefore AC = 18}}$

3 0

3 years ago

In the diagram below of triangle PQS, S is the midpoint of PR and T is the midpoint of QR. If ST = 5x - 22, and PQ = 3x + 19, wh

SIZIF [17.4K]

Answer:

PQ = 46

Step-by-step explanation:

The midsegment ST is half the length of the third side PQ , that is

ST = $\frac{1}{2}$ PQ , so

5x - 22 = $\frac{1}{2}$ (3x + 19) ← multiply both sides by 2 to clear the fraction

10x - 44 = 3x + 19 ( subtract 3x from both sides )

7x - 44 = 19 ( add 44 to both sides )

7x = 63 ( divide both sides by 7 )

x = 9

Then

PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46

6 0

3 years ago

I need an answer to this math problem.

tatiyna

The greatest common factor is c^2

This is because c^2 is the most that you can divide both numbers by.

7 0

3 years ago

Read 2 more answers

Especial on a cruise to Atlantis is advertising is being eight nights of the regular price the regular price is $1827 what is th

Valentin [98]

Answer:

$14,616

Step-by-step explanation:

The computation of the sales price is shown below:

The regular price is $1,827

And it would be advertised having 8 nights of the regular price so here we assume that the sales price is 8 times of the regular price

so, the sales price is

= $1,827 × 8

= $14,616

6 0

3 years ago