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3 years ago

The figure shows two parallel lines PQ and ST cut by the transversals PT and QS.

Mathematics

2 answers:

Sonbull [250]3 years ago

5 0

Answer:

Triangle PQR is similar to triangle TSR because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5

Step-by-step explanation:

wariber [46]3 years ago

3 0

answer is

<span>Triangle PQR is similar to triangle TSR because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5</span>

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Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points)

nasty-shy [4]

The value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have equation:

4(x + 5) = 9x + 4x − 34 (Given)

4x +20 = 9x + 4x − 34 (Distributive Property)

4x +20 +34 -4x = 9x + 4x − 34 + 34 -4x (Subtraction Property of Equality)

54 = 9x + 4x − 34 + 34 -4x (Addition Property of Equality)

54 = 9x (Combine Like Terms)

x = 54/9 (Division Property of Equality)

x = 6

Thus, the value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

Learn more about the linear equation here:

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