Answer:
Step-by-step explanation:
A triangle with angles of 30-60-90 will always have sides that measure in the following proportions:
The side opposite the 30* angle = a
The side opposite the 60* angle = 
The side opposite the 90* angle = 2a
(I used "a" here because your question uses "x" and I don't want to confuse things, but usually people use "x" rather than "a")
They gave us that the hypotenuse (the side opposite the 90* angle) is 10, from there we can figure out the other sides:
Since the side opposite 90* is 2a, and 2a = 10, divide 10 by 2 and you get a = 5.
Once we know what "a" is, we can fill in the rest:
30* = 5
60* =
90* = 10
Answer:
hours
Step-by-step explanation:
First let's get the flat fee of 14 out of the way, because he wants to earn 86 dollars and the 14 dollar fee is the y intercept.
We would then divide 72 by the slope (14 per hour) to see how many hours he has to work:
I would just simplify because this decimal isn't exact
So 36/7 hours
Answer:
5x - 9
Step-by-step explanation:
2x -(-3x + 9)
2x + 3x - 9) DISTRIBUTE -1
5x - 9 COMBINE LIKE TERMS
Answer:
does not factor
Step-by-step explanation:
prime
Answer:
8
Step-by-step explanation:
Sum the parts of the ratio 4 + 2 = 6 parts
Divide 24 by 6 to find the value of one part of the ratio
24 ÷ 6 = 4 ← value of 1 part, thus
number of boys = 4 × 4 = 16
number of girls = 2 × 4 = 8
Hence there are 8 more boys than girls
