(In the picture, QRST looks like a rhombus, so I will assume that it is a rhombus.)
In a rhombus, opposite angles are congruent based on the alternate interior angle theorem. In other words, R and T along with Q and S are both alternate interior angle pairs.
(You can actually test this by printing out a rhombus, cutting out the angles, and matching up the opposite ones.)
We know that Q is equal to 4x + 10, but we need to solve for x. Since Q and S are congruent, we can set them equal to each other:
1) 4x + 10 = 5x - 3
2) 4x + 13 = 5x
3) 5x = 4x + 13
4) x = 13
Now let's plug 13 in for Q:
5) 4(13) + 10 = 52+10 = 62
I got m<Q = 62 degrees. Hope this helps!
Answering pretty sure yes
Step-by-step explanation:
The rectangular prism has the greatest volume
Rectangular Prism Volume= 72
Triangular Prism Volume = 70
Volume formulas:
(R.Prism) V=l•w•h
(T. Prism) V= b•h
Work:
(R.Prism)
V= 4•6•3
V= 72
(T.Prism)
V= (1/2•4•5)(7)
V= 70
Hope this helps
9514 1404 393
Answer:
f(g(x)) = 2/(x^2 +4x)
Step-by-step explanation:
The first option is how you wrote your statement in math.
