$\overline{XS}\cong\overline{YT}\Rightarrow 3m+7=4.2m+5\ \ \ |-7\\\\3m=4.2m-2\ \ \ \ |-4.2m\\\\-1.2m=-2\ \ \ \ |:(-1.2)\\\\m=\dfrac{2}{1.2}\\\\m=\dfrac{20}{12}\\\\m=\dfrac{5}{3}\to m=1\dfrac{2}{3}$

$\overline{YS}\cong\overline{XT}\Rightarrow3\dfrac{1}{2}r+2=2r+5\ \ \ \ |-2\\\\3\dfrac{1}{2}r=2r+3\ \ \ \ |-2r\\\\1\dfrac{1}{2}r=3\ \ \ |\cdot2\\\\3r=6\ \ \ \ |:3\\\\r=2$

7 0

3 years ago

How many solutions are there to the equation below 9x + 27 = 9( x + 2 ) + 9

Nataly [62]

Let's solve the equation:

9x+27 = 9(x+2)+9 ← Distribute 9 to the x and 2

9x+27 = 9x+18+9 ← Combine like terms

9x+27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x

Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.

7 0

2 years ago

Read 2 more answers

The volume of a cube is 124 cubic inches.<br> What is the side length of the cube?

ivolga24 [154]

Answer:

4.987 in

Step-by-step explanation:

Volume of a cube= (where x= side)

x³

we know that

124=x³

∛124=x

x=4.986630952 which rounds to

4.987

8 0

3 years ago

Read 2 more answers

Soledad has a storage box. The box is 6 1/2 inches long, 4 3/4 inches wide and 7 inches tall. She wants to run a border around t

velikii [3]

I have the same question too so I need help on it

3 0

3 years ago