Answer:
This is the answer
Step-by-step explanation:
(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!
Answer:
see explanation
Step-by-step explanation:
Given x varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition x = 9 when y = 4
k = 
= 
= 2.25
x = 2.25y ← equation of variation
When y = 8, then
x = 2.25 × 8 = 18
<span>25: 2 × 2 × 13 65: 5 × 13</span>
Answer:
9c + 45
Step-by-step explanation:
The distributive property also known as distributive law of multiplication and division.
In the given expression, distributive law of multiplication is applied where we can multiply first before addition.
Given
9(c+5)
Using distributive property
9(c+5)
= (9 × c) + (9 × 5)
= 9c + 45
9(c+5) = 9c + 45
