Answer:
Question 12: 60°
Question 13: 30°
Question 14: 60°
Question 15: 120°
Step-by-step explanation:
Question 12: The measure of a circle is 360°, so ∠CGD which is 
of a full rotation is 60°.
Question 13: ∠CGH is 
of ∠CGD, so its angle measure is 30°.
Question 14: Since the interior sum of all angles in a triangle is 180° and two angles have measures of 90° and 30°, that means ∠HCG has a measure of 60°.
Question 15: Since ∠EGC is 
of a full rotation, and is twice as great as ∠CGD, that means it has an angle measure of 120°.
Answer:
84
Step-by-step explanation:
Let the first digit = x
Let the second digit =y
x + y = 12
x + 4 = 3*y
===========
From the second equation, we learn that x = 3y - 4
Put that into the first equation.
3y - 4 + y = 12 Combine the left side
4y - 4 = 12 Add 4 to both sides
4y = 16 Divide by 4
4y/4 = 16/4
y = 4
=================
x + 4 = 12
x + 4 - 4 = 12-4
x = 8
So the number is 84
1245 divide by 2 is 622.5 I did this on a calculator.
Answer:
Slope= -1x OR -x
Step-by-step explanation:
rise over run: y2 - y1 / x2 - x1
= 3 - (-3) / -4 - 2
= 6 / -6
= -1
Answer:
Step-by-step explanation:
I'm not sure I know exactly what that [1] means.
But here's how you get the answer
g(x) = 3x + 12
The symbolism means that wherever you see an x on the right side of g(x) you put f(x)
So it looks like this
g(f(x) ) = 3(f(x)) + 12 Now you put f(x) = 2x + 7 in for f(x) on the right.
g(f(x)) = 3(2x + 7) + 12 Remove the brackets
g(f(x)) = 6x + 21 + 12
g(f(x)) = 6x + 33
Now you deal with the x on the left. It becomes - 6
g(f(-6)) = 6(-6) + 33
g(f(-6)) = -36 + 33
g(f(-6)) = - 3
Rule 1
(g · f)(x)
has the meaning of whatever the function on the left is (in this case g) then the function of f is put in the xs place.
