(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:
1997 lbs
Step-by-step explanation:
First we need to find the volume of the mattress
V = l*w*h
V = 8*2*2
V =32 ft^3
Then multiply by the density
32 ft^3 * 62.4 lb / ft^3 =
1996.8 lbs
To the nearest lb
1997 lbs
Answer:
The coordinate of a point is its location on a grid.
The point will be located halfway between -2 and -3 on the x-axis, on -4 on the y-axis
The coordinate is given as:
Express as decimals
The above point means that:
This means that:
The point will be located halfway between -2 and -3 on the x-axis, on -4 on the y-axis
Step-by-step explanation:
Answer:
320 liters
Step-by-step explanation:
Each tank = 40 liters
8 tanks = 40 × 8 = 320
Answer:
Read the chapter and concepts First
