So the man's age is divisible by 3, 5, and 7 but not by 2, 4, 6, or 8.
3 * 5 * 7 = 105
105 is not divisible by 2, 4, 6, or 8.
Not sure if any lower ages are there, but since the man is 105 years old, you would receive $105.
6 centilitre = 60 millilitre
Total liquid consumed = 355ml + 60ml = 415 mlillilitres

First, we'll find the slope of the new line. The first line has a slope of
. Take the negative reciprocal of this (Flip the numerator and denominator, then multiply by
) to get
for the new slope.
Then, we'll use the point-slope form to make the new equation, where
is the slope and
is a point on the line:

Answer:
17.) x = 3
18.) x = -5
I couldn't do 19.) and 20.) for you because there are weird symbols that I believe you mistakenly input. But I'm sure you now get the gist of how to solve such problems. Peace <3
Step-by-step explanation:
All you really have to do for all of the problems is substitute your value of "x" for the function.
17.) f(x) = 8x - 7; f(x) =17
17 = 8x -7 ---- substitute 17 for f(x), add 7 on both sides
24 = 8x ------ divide 8 on both sides
x = 3
18.) g(x) = -4x + 7; g(x) = 27
27 = -4x + 7 substitute 27 for g(x), subtract 7 on both sides
20 = -4x
x = -5
The correct statement is C. <span>If an angle is an acute angle, then the angle measures less than 90 degrees.
A and B are obviously incorrect, and D is incorrect because it can be other angle as well, not just acute. </span>