A straight line adds up to 180
So the line opposite of 137 should add up to 180
This gives us the equation 137+x=180 then x=43
The triangle also adds up to 180 degrees
So 102+43+x=180
The equation can be simplified to 145+x=180 therefore x=35
So x+?=180 because it is a straight line.
We can substitute x in making the equation 35+?=180
Now we want to solve for the ? so we'll subtract 35 from each side
This leaves us with the equation ?=145
So we now know that the ?=145
Answer:
To get an expression relating to x you need to have x alone on one side of your equation. ie x =
Try this:
rx - st = r
remove st from the rx side
rx = r + st
now divide by r
x = (r + st)/r
You now have your expression relating to x
Answers:
x = 8
y = 15*sqrt(2)
===========================================================
Explanation:
This is a 45-45-90 triangle. The right triangle is isosceles.
This means the two legs 3x-9 and x+7 are the same length
3x-9 = x+7
3x-x = 7+9
2x = 16
x = 16/2
x = 8
If x = 8, then each leg is...
3x-9 = 3(8)-9 = 24-9 = 15
x+7 = 8+7 = 15
Each leg is 15 units long to help confirm we have the correct x value.
---------------
The hypotenuse y is exactly sqrt(2) times that of the leg length.
Therefore, y = 15*sqrt(2) since earlier we found each leg is 15 units long.
15*sqrt(2) = 21.213 approximately
Answer:
B
Step-by-Step Explanation:
Think of it this way remove the decimal and then look at that number what the number is thats the number of degrees in the rotation.