Below are two parallel lines with a third line intersecting them
2 answers:
Answer:
x=66°
Step-by-step explanation:
Solve for x:
If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:
∠1+∠2=180°
Substitute known values:
Subtract 114 from both sides to isolate x:
The value of x is 66°.
:Done
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<em><u>Question:</u></em>
Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?
<em><u>Answer:</u></em>
x-coordinate of Q is 5
<em><u>Solution:</u></em>
Given that,
Point R divides in the ratio 1 : 3
Which means,
Point R divides the line segment PQ internally
The x-coordinate of the point which divides the line segment in ration m:n internally is given as:
Where,
= x-coordinate of point dividing the segment R = -1
= x-coordinate of P = -3
= x-coordinate of Q = ?
m : n = 1 : 3
m = 1
n = 3
Therefore,
Thus x-coordinate of Q is 5