Answer:
a = 30
b = 40
C
Step-by-step explanation:
This requires that you use a proportion.
a / (a + 15) = 40 / 60
The small triangle's sides are in proportion to the large triangles sides.
Reduce the right. Divide top and bottom by 20
a/(a + 15) = 40/20 // 60/20
a/(a + 15) = 2/3
Cross multiply
3a = 2(a + 15) Remove the brackets on the right.
3a = 2a + 30
Subtract 2a from both sides
3a-2a = 30
a = 30
Find B
b is done exactly the same way.
b/(b+20) = 2/3
3b = 2b + 40
3b - 2b = 40
b = 40
Answer:
$570
Step-by-step explanation:
500 * 1.2 = $600 after 20% pay raise
600 * .95 = $570 after 5% pay cut
The difference between the 26 mile trip and 38 mile trip is 12 miles.
The difference in the price is $3.00 ($65.50 - $62.50)
So those 12 miles cost $3.00 $3.00÷12 = $.25 per mile
We can use either given trip to solve. I will use the 38 mile trip.
The difference between 38 miles and 54 miles is 16 miles. At $.25 a mile those 16 miles will add $4.00 to the price. ($.25 x 16 = $4.00)
Since the 38 mile trip costs $65.50 we add $4.00 and get $69.50 for a 54 mile trip.
Write and solve an equation of ratios:
5 *10^9 years 100 m
------------------- = --------------
5 * 10^3 yrs x
Reducing the first fraction,
100 m
10^6 = ----------
x
100 m
Solving for x, x = ------------- = 10^(-4) m, or [10^(-1)] * [10^(-3))]
10^6
this comes out to one tenth of 1 millimeter.
Answer:
Step-by-step explanation:
(-7, 8) (-8, 8)
(y2 - y1) / (x2 - x1)
(8 - 8) / (-8 + 7)
0 / -1
the slope is 0
you could also see this because the y value doesn't change
if the y value doesn't change the slope is 0, if the x value doesn't change the slope is undefined
