Answer:
m∠Y=50°
Step-by-step explanation:
So, we know that ∠S+∠Y=90 and that m∠S=2(m∠Y)-60.
If you plug those things into the equation, you get (2[m∠Y]-60)+m∠Y=90.
Then you multiply 2 and m∠Y: 2m∠Y-60+m∠Y=90.
Combine like terms: 3m∠Y-60=90.
Then you add 60 to both sides: 3m∠Y=150
Divide 3 on both sides: 3∠Y=50
The LCM of 3 is 12 because 12 is the smallest number that 3 and 4 are both factors for .
I hope that's help !
9- find the ratio for boys to total student -> 5:12
x : 24 = 5 : 12
x = 10 boys
10- 800miles/60 minutes = 160miles/x minutes
x = 12 minutes
Answer:
Solve for
x
x
by simplifying both sides of the equation, then isolating the variable.
x
≈
0.25181781
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
You can estimate the number as being ...
(100 -50)/7 = 50/7 = 7 r 1
That is, there are likely to be 7 multiples of 7 between 50 and 100. This is a small enough number of them that we can count them:
56, 63, 70, 77, 84, 91, 98 . . . . 7 multiples of 7
_____
In general, you want to make sure that you don't overlook one at the beginning or end of the range. One way to ensure that you get a correct count is to write an equation for the n-th multiple of 7 in the range. Here, that would be 49+7n. We would want to find n such that ...
49 +7n ≤ 100
7n ≤ 51
n ≤ 51/7 = 7 2/7
The largest integer n less than 7 2/7 is 7, so there are 7 multiples of 7 between 50 and 100.