Answer:
is this a multiple-choice type thing or type-in? If multiple-choice, what answers are given?
Step-by-step explanation:
Answer:
Parallel
Step-by-step explanation:
In the slope-intercept form (y=mx +c), the coefficient of x tells us the slope of the line.
2x +8y= 56
Let's rewrite this equation into the slope-intercept form.
8y= -2x +56
Dividing both sides by 8:
Slope= -¼
y= -¼x -5
Slope= -¼
Since both lines have the same slope, they are parallel to each other.
Please see picture above.
Answer:
18. Supplementary
19. Vertical
20. x = 7
23. x = 25
Step-by-step explanation:
Use angle relationships to make equations which you can solve for x.
Example:
18. These two angles form a line. These are called supplementary.
19. These angles are across a vertex from each other and are equal or the same.
20. 9x + 1 = 7x - 9 + 5x - 11
9x + 1 = 12x - 20
9x - 9x + 1 = 12x - 9x - 20
1 = 3x - 20
1 + 20 = 3x - 20 + 20
21 = 3x
7 = x
23. These two angles are across a vertex from each other. This means the angles are equal. Think of it as a reflection. If you folded the paper on that vertex, the lines would be in the exact same place.
So set the two expressions equal to each other. Then use inverse operations to isolate x and solve.
5x + 4 = 8x - 71
5x - 5x + 4 = 8x - 5x - 71
4 = 3x - 71
4 + 71 = 3x - 71 + 71
75 = 3x
25 = x
Hey there!
When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.
If the small school had 60% boys, it will have 40% girls. The number of boys <em>is</em> 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.
0.6t=48
We divide both sides by 0.6.
t=80
Therefore, there are 80 total kids at the school.
We can also check our answer below.
BOYS: 0.6(80)= 48
GIRLS: 0.4(80)=32
48+32=80
I hope that this helps!
