I saw this same type of question and page but with different numbers just 5 minutes ago...
Anyway here’s the answers:
1) Complementary
3x+1+44=90
3x+45=90
3x=45
x=5
2) Vertical
Ignore everything about the work. The answer is 120 degrees because they’re vertical angles.
3) Supplementary
15x-5+110=180
15x+105=180
15x=75
x=5
And I can’t see the last question clearly
You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is
Slope = (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1). (8, 10) and (-7, 14)
Slope = (14 - 10) / (-7 - 8) = 4 / -15
#2). (-3, 1) and (-17, 2)
Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14
#3). (-20, -4) and (-12, -10)
Slope = [ -10 - (-4) ] / [ -12 - (-20) ]
=========================================
The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
- Evaluate the expression ⇨ (-6) squared.
This will be equal to..
Multiply -6 by itself (squaring a number means to multiply the number by itself twice)
-6 multiplied by-6 will get you 36 as the answer.
The width of the sidewalk would be 10ft.
Sorry if incorrect
