To solve this, you’ll first need to solve for their slopes.
The slope for line Q is y2-y1/x2-x1 = -8-(-2)/-8-(-10) = -3
We know that the lines are perpendicular so the negative reciprocal of -3 is 1/3
The equation you get it y = 1/3x + b.
Now you will need to solve for b by substituting in the first ordered pair of line R.
2 = 1/3(1) + b.
Once you solve for b, you should get 5/3 and y = 1/3x + 5/3
Now, to find a, you will need to substitute in 10 from the second ordered pair into x in your new equation.
y = 1/3(10) + 5/3.
Your solution should be 5.
So your answer is: a = 5
Answer:
The third side is around 58.043
Step-by-step explanation:
Use the law of cosines: 
Plug in the two sides we know (into a and b) and the angle we know (into angle C).
Thus:
Use a calculator:
(Note: Make sure you're in Degrees mode.)
Answer:
Area=36
Step-by-step explanation:
Area of rhombus: diagonal 1 x diagonal 2 divided by 2.
To find the area of a rhombus, you need to find the length of both diagonals(which is the distance between 2 points across from each other).
First, find the distance between -8 and 4 which is 12.
Next, find the distance between -1 and -7 which is 6.
12 x 6 =72
72/2=36
Answer is 13 i hope this helps like it
Answer: 6.5 in
Step-by-step explanation:
Given the information we have, we first need to turn this into a parallelogram. So, now that we have a parallelogram, we need to find the area of that and divide it by two. So 3 1/4 x 4 = 13
So now that we have the area of the square, we need to divide it by two. 
.
So our answer is <u>6.5 in</u>
