Problem 16 Begin by setting corresponding positions equal to each other.
9 = x + 2y and 13 = 4x + 1
The second equation only has one variable so you should solve it first.
13 = 4x + 1
13 - 1 = 4x + 1 - 1
12 = 4x (divide both sides by 4)
3 = x
you can use this value to find y in the other equation
9 = 3 + 2y
9 - 3 = 3 - 3 + 2y
6 = 2y
3 = y
Answer:
a=50 degrees
Step-by-step explanation:
Look at the triangle in the middle. You can find two missing angles to calculate the third one.
50 and 130 are supplementary, so 50 must be the upper right angle. The angle opposite to 80 has to be equal to it, of the upper left angle is 80.
A triangle is 180 degrees total, and 180-(50+80)= 50.
The missing angle for the triangle is 50, and since "a" is opposite to it, the values are equal.
a=50 degrees
You can choose the coordinates of any two points on the vertical line where x=5.
So for the coordinates, you need a y value for both. Since the points have to be on that line, you already know that the x value has to be 5.
collect the like terms
4x - 9 = 6-x
4x + x= 6+9
and then complete the equation
5x = 6 + 9
5x = 15
x = 15 ÷ 5
x = 3
3 to the 4th power is 81, 3 times itself 4 times.
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