Answer:
x = 40
m∠Q = 105°
m∠R = 40°
m∠P = 35°
Step-by-step explanation:
Sum of Angles in a Triangle: 180°
Step 1: Define variables
m∠Q = 2x + 25
m∠R = x
m∠P = x - 5
Step 2: Set up equation
m∠Q + m∠R + m∠P = 180°
2x + 25 + x + x - 5 = 180°
Step 3: Solve for <em>x</em>
4x + 20 = 180
4x = 160
x = 40
Step 4: Solve for measure angles.
m∠Q = 2x + 25
m∠Q = 2(40) + 25 = 80 + 25 = 105°
m∠R = x
m∠R = 40°
m∠P = x - 5
m∠P = 40 - 5 = 35°
The slope is -5 and the y intercept is -1 for #1
The slope is 1/3 and the y intercept is -4 for #2
The graph is shifted 3 units up the y axis
Answer:
I believe the measurement of angle 5, would be 114.
Step-by-step explanation:
We can solve this by using alternate interior angles. First we must find the other alternate interior angle for angle 5. To do this we take 66 and subtract it from 180. We now find that the angle adjacent to the angle measuring 66 degrees is equal to 114 degrees. Now, the angle we just found the measurements for, is the alternate interior angle for angle 5. Therefore, since they are alternate interior angles, angle 5 is equal to 114 degrees.
I hope this helps!
Answer:
(0,-9)
Step-by-step explanation:
The image of a point over a line is given by the co-ordinate rule:
→
So, when we reflect a point over the line , the x co-ordinate and y co-ordinate change their places.
Here, is . So, from the above rule, after reflection over the line , the image has the following co-ordinates: