Answer:
4
hours
Step-by-step explanation:
he was gone for 5 
hours, he spent 
an hour driving.
5 - = 4 hours at work.
Answer:
8, 8x square root of 3
Step-by-step explanation:
16=2x
x=8
We know:
and
These expressions have an 
term in common. We can combine them if we can find forms of the expressions in terms of :
Now, because 
(by the reflexive property), we can write:
This is our answer, A.
Answer:
5) m∠DEF = 18
Step-by-step explanation:
I cant answer the rest because they require a protractor
Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
