Given:
Point Q is on line segment PR.
QR = 3x, PQ = x + 6, and PR = 5x – 4.
To find:
The numerical length of PQ.
Solution:
Since, point Q is on line segment PR, so by segment addition property, we get
The value of x is 10.
Now,
Putting x=10, we get
Therefore, the numerical length of PQ is 16 units.
Answer:
Option (C)
Step-by-step explanation:
From the picture attached,
Two lines 'h' and 'k' are the parallel lines and a transversal 'n' is intersecting these parallel lines at two distinct points.
By the theorem of alternate interior angles, angle 8 and angle 11 will be equal in measure.
∠8 ≅ ∠11 [Alternate interior angles]
m(∠8) = m(∠11) = 118°
Therefore, Option (C) will be the answer.
Answer:
<h2>D. The two functions have opposite output values of each other for any given input value.</h2>Step-by-step explanation:
The reflect function will have opposite output values than the original one, because reflection across the x-axis means that y-values will be with the opposite sign. All positive y-values in the original function will have negative values in the reflected one, and all negative y-values in the original will have positive values in the reflected.
The opposite values are just seen in the output, because those belong to y-axis, all x-axis values remain the same, which are input values. You can see this in the image attached, look for the horizontal reflection. That mirror effect across the x-axis is because the y-values are opposite.
