All categories

3 years ago

Find the value of x if line PQ is parallel to line RS where P(x,4),Q(3,2),R(-1,5) and S(2,4).

Mathematics

1 answer:

Alex73 [517]3 years ago

8 0

The value of x if lines PQ and RS are parallel is: x = 9.

<h3>What is the Slope of Parallel Lines?</h3>

The slope values of two lines that are parallel to each other are always the same.

Slope = change in y/change in x

Thus, since PQ and RS are parallel to each other, therefore, their slope will be equal.

Given:

P(x,4)

Q(3,2)

R(-1,5)

S(2,4)

Slope of PQ = Slope of RS

(4 - 2)/(3 - x) = (5 - 4)/(-1 - 2)

2/(3 - x) = 1/-3

Cross multiply

(2)(-3) = (1)(3 - x)

-6 = 3 - x

-6 - 3 = -x

-9 = -x

9 = x

x = 9

Therefore, the value of x if lines PQ and RS are parallel is: x = 9.

Learn more about slope of parallel lines on:

brainly.com/question/10790818

You might be interested in

Help!!<br> What is the relationship between the corresponding angle bisectors BD and XZ?

Harrizon [31]

Answer:

XZ = 2.5 BD

Step-by-step explanation:

Comparing the two triangles,

$\frac{BD}{BC}$ = $\frac{XZ}{XY}$

$\frac{6}{8}$ = $\frac{XZ}{20}$

⇒ XZ = $\frac{20*6}{8}$

= 15

XZ = 15

So that,

BD:XZ = 6:15

= 1:2.5

Therefore, the relationship between BD and XZ is XZ = 2.5 BD.

8 0

3 years ago

Ebola has an Ro of 2. How<br> many third-wave cases can<br> doctors expect?

stellarik [79]

Answer:

4 I guess

Step-by-step explanation:

Because

3-1=2

2^2=2*2=4

4 0

3 years ago

If two angles are complimentary and one angle measures 34 degrees, what is the measure of the other angle?

allochka39001 [22]

Answer: 90º

Step-by-step explanation: complimentary angles are either of the two angles whose sum is 90º

8 0

2 years ago

Write the next three terms in each sequence. Describe the pattern rule. in algebraic form. for example: 2, 6, 10, 14, 18, 24, 28

loris [4]

Answer:

Step-by-step explanation: The rule is you add 1 more each numer. Continuing this it would be 15,21,28, etc.

5 0

3 years ago

Find the value of x. Then find the m∠S and m∠T

Sophie [7]

Answer:

Step-by-step explanation:

<h2>Given, y = b m x m</h2><h2>y' = -b m x (m+1)</h2><h2>At any point (x1,y1)</h2><h2 /><h2>Equation of tangent is given by </h2><h2>y - y1 </h2><h2>------- = -b m x1 -(m+1)</h2><h2>x - x1</h2><h2>Y intercept = - m</h2><h2>X intercept = (m-1) × 1</h2><h2> m </h2><h2>Area bounced = 1 (m - 1)×1</h2><h2> ---- ---------------------- x m</h2><h2> 2 m</h2><h2>For area to be constant, m = 1</h2>

4 0

3 years ago