The triangles are similar. Set the two triangle's measurements equal to each other
8/10 = (x - 1)/(x + 2)
Cross multiply
8(x+ 2) = 10(x - 1)
Distribute the numbers
8(x) = 8x
8(2) = 16
10(x) = 10x
10(-1) = -10
8x + 16 = 10x - 10
Isolate the x. Subtract 16 from both sides, and 10x from both sides
8x (-10x) + 16 (-16) = 10x (-10x) - 10 (-16)
8x - 10x = -10 - 16
Simplify. Combine like terms
-2x = -26
Isolate the x. Divide -2 from both sides
-2x/-2 = -26/-2
x = -26/-2
x = 13
13 is your answer for x
hope this helps
Answer:
you keep multiplying by five
Step-by-step explanation:
So 1 x 5 is five, 5 x 5 is 25, 25 x 5 is 125, so on and so forth.
Answer:
$3027.80
Explanation:
The compound interest formula is the following.
where
A = final amount
P = principle amount
r = interest rate / 100
n = number of compounds per interval
t = time interval
Now in our case,
A = unknown
P = $1900
r = 10.4/100
n = 12 months / year ( because the interest is compounded monthly)
t = 4.5 yrs
Therefore, the compound interest formula gives
Using a calculator, we evaluate the above to get
which is our answer!
The percent of increase is 25 percent
Answer:
= 45 miles per hour
Step-by-step explanation:
First, we want a unit rate where 1 is in the denominator.
So we divide,
180 miles/ 4 hours both ÷ by 4
= 45 miles/ 1 hour
= 45 miles/ hour
= 45 miles per hour
