Answer:
118°
Step-by-step explanation:
When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.
Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.
Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.
(5x + 17) + (15x - 17) = 180
5x + 15x + 17 - 17 = 180
20x = 180
20x/20 = 180/20
x = 9°
Nkw let's substitute x = 9 into the equations
5x + 17 =
5(9) + 17 =
= 62°
15x - 17 =
15(9) - 17 =
= 118°
Both equations should add up to be 180°.
Therefore the measure of the largest angle is 118°.
Our first expression is equal to zero:
So we simply find the expression that is equal to zero.
The final answer is a.
Answer:
-2.5
Step-by-step explanation:
The slope of a line can be found by dividing the rise over the run between two points. The rise is the difference between the y-values, and the run is the difference between the x-values. For both, the value with the greater x-value comes first as you are seeing how much it has changed from the first value to the the other.
Let's use the first two points to find the slope: (0,9), (2,4)
(2,4) has the greater x-value, so the rise between the points would be -5, as 4 - 9 = -5
The run would be 2, as 2-0 = 2.
Therefore the slope would be: -5/2 = -2.5
Hope this helped!
The measure of angle RQS is 50°.
Solution:
Given data:
m(ar QTS) = 260°
<u>Tangent-chord theorem:</u>
<em>If a tangent and chord intersect at a point, then the measure of each angle formed is half of the measure of its intercepted arc.</em>
m∠PQS = 130°
<em>Sum of the adjacent angles in a straight line is 180°.</em>
m∠PQS + m∠RQS = 180°
130° + m∠RQS = 180°
Subtract 130° from both sides.
130° + m∠RQS - 130° = 180° - 130°
m∠RQS = 50°
The measure of angle RQS is 50°.
