10/6 = 1 2/3
This is because 5 + 5 =10/6
Divide 19 by six.
This gives you 1 2/3
20% x 50 =(20 / 100) x 50 = (20 x 50) / 100 = 1000 / 100 = 10
answer is 10
Answer:
X = 6
y = 4
Step-by-step explanation:
The measure of the angle ∠PQR is 90 degrees
<h3>How to prove that ∠PQR is 90 degrees?</h3>
The equation of the line PQ is given as:
3x - y - 2 = 0
The coordinates of the QR are given as:
(0, -2) and (6, -4)
Make y the subject in 3x - y - 2 = 0
y = 3x - 2
The slope of the above line is
m1 = 3
Next, we calculate the slope (m2) of points Q and R.
So, we have:
m2 = (y2- y1)/(x2 - x1)
This gives
m2 = (-4 + 2)/(6 - 0)
Evaluate
m2 = -1/3
The slopes of perpendicular lines are opposite reciprocals.
m1 = 3 and m2 = -1/3 are opposite reciprocals.
This means the lines PQ and QR are perpendicular lines.
The angle at the point of perpendicularity is 90 degrees
Hence, the measure of the angle ∠PQR is 90 degrees
Read more about linear equations at:
brainly.com/question/15602982
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<u>Explanation</u><u>:</u>
From the given figure ,
AB || CD
PQ is a transversal
Given angles are 50° and 130°
50° and x are linear pair
⇛ 50°+x = 180°
⇛ x = 180°-50°
⇛ x = 130°
Therefore, "x" = 130°
and
130° and y are vertically opposite angles which are equal.
⇛ "y" = 130°
Therefore, y = 130°
<u>Additional</u><u> </u><u>comment</u><u>:</u><u>-</u>
- If two parallel lines Intersected by a transversal then
- Corresponding angles are equal.
- Vertically Opposite angles are equal.
- The sum of two adjacent angles is equal to 180° then they are called Linear Pair.
