(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!
To find the perimeter you do length + width so you do 12.4 + 5.9 to get the perimeter.
Answer:
Step-by-step explanation:
<u>Given system:</u>
In order to solve it graphically, graph both lines and find the point of their intersection.
Graphing easy if you plot the x- and y- intercepts and connect them with a line.
<em>See attached.</em>
Both lines have same x-intercept, which is also the solution: (2, 0)
Percent decrease. 41%
percent change= (new-old)/old *100
= -41 % the negative means decreasing
I believe it’s D bc I went over A and it doesn’t add up
