Answer:
x=5/4, y=7/4
Step-by-step explanation:
This is a similar triangles problem.
The first triangle (the smaller one) has the lengths 5, 8 and 7.
The second triangle (the lager one) has the lengths 5+x, 10, and 7+y
Let's first solve for x
In any similar triangles problem, you can make two ratios (all the ratios of the sides are the same)
since we don't know the measures for x and y first, we can use the ratio of the parallel lines (the bases) as the first ratio (8/10)
For the second ratio, it's smaller/bigger, so it'll be 5/(x+5)
here's the proportion
5/(x+5)=8/10
But before we multiply, we can simplify 8/10 to 4/5
so
5/(x+5)=4/5
Cross multiply
25=4x+20
5=4x
5/4=x
For y, we can do a similar process
We can use 8/10 or 4/5 again
and the ratio of the sides for y will be 7/(y+7)
7/(y+7)=4/5
35=4y+28
7=4y
7/4=y
Hope this helps!
Answer:
C. $6 per hour.
Step-by-step explanation:
Pick a convenient point on the graph. The rate of change is the
y coordinate / x coordinate.
So we pick the point near the top right corner where y = 30 and x = 5 which gives us the answer 30/5 = 6.
Answer:
Angle 2
Step-by-step explanation:
They are immediately across from each other and measure the same degrees.
Answer:
3
Step-by-step explanation:
Answer:
y = x/2 - 4 slope-intercept form
y = x/2 + 4 slope-intercept form
NO SOLUTION.
The graph is a pair of parallel lines one line through point (0, -4) and the other through point (0, 4)
Step-by-step explanation:
x - 2y = 8 and -2x+4y=-16.
we can easily convert these to slope intercept form
x - 2y = 8
-2y = 8 - x
2y = x - 8
y = x/2 - 8/2
y = x/2 - 4 slope-intercept form
------------------------------
-2x + 4y = 16
4y = 2x + 16
y = 2x/4 + 16/4
y = x/2 + 4 slope-intercept form
We have 2 lines that are parallel because they have the same slope
