The angles in the triangles are the same, so you know the triangles are similar. Sides PQ and AB correspond as do sides PR and AC. Because the triangles are similar, you know that
PR/AC = PQ/AB
PR/24 = 5/20
Multiplying this equation by 24 gives
PR = 24*(5/20) = 6
The appropriate choice is ...
C. 6
Answer:
29x+8 is the answer
Step-by-step explanation:
12x-4+17x+8
=12x+17x-4+8
=29x+8
Hope it will help ^_^
Answers:
===================================================
Explanation:
Part (a)
Lines LN and PN have the point N in common. This is the intersection point.
-----------------
Part (b)
To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.
I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.
------------------
Part (c)
Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K
------------------
Part (d)
Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.
We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.
Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.
Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.
You have to have the same denominator for both fractions, so I would multiply 3/4 by 3 that would give you 9/12 and the other one is 7/12. This means that the final answer would be 9/12>7/12.