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3 years ago

1.

Mathematics

1 answer:

Pepsi [2]3 years ago

7 0

Answer:

The value of x is 8, and m<ST = 48 degrees.

Step-by-step explanation:

With the given information, we know the worth of each angle. To solve it, an equation must be made.

RS (part) + RT (part) = ST (whole)

Should look like this: 5x - 13 + 2x + 5 = 3x + 24.

Then solve the equation.

First, add up all that has in common:

Should look like: 7x - 8 = 3x + 24

Then move 3x from the right to the left by subtraction.

Should look like: 4x - 8 = 24

Next, move the 8 to the other side by addition.

Should look like: 4x = 32

Finally, to find what the value of x is, divide 4 on both sides.

You should get an answer of x = 8.

To find the measurement of ST, replace the x in 3x + 24.

3(8) + 24 = 48.

m<ST = 48 degrees.

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