Answer:
4
Step-by-step explanation:
because i know how to do it
Answer:

Step-by-step explanation:
We can solve the first equation, f of -3. The value of the function f is
, and plugging in -3 gets us
, this results in 10 divided by negative 2, which is negative 5.
Now, we must solve g of negative one third. The function g is defined as
. Plugging in negative one third into the question gets us 
9 times negative one third is -3, and -3 minus 15 is -18. The absolute value of -18 is 18.
Now, we must solve h of negative 2, and h is defined as
. Plugging in negative 2, we have
. Negative 8 times negative 2 is positive 16, and 16 minus 3 is 13. The answer is the square root of 13
First notice that the triangle with sides

and the triangle with sides

are similar. This is true because the angle between sides

in the smaller triangle is clearly

, while the angle between sides

in the larger triangle is clearly

. So the triangles are similar with sides

corresponding to

, respectively.
Now both triangles are

, which means there's a convenient ratio between its sides. If the length of the shortest leg is

, then the length of the longer leg is

and the hypotenuse has length

.
Since

is the shortest leg in the larger triangle, it follows that

, so
Answer:
Triangle A: 38 degrees
Triangle B: Unknown (not enough information)
Triangle C: Unknown (not enough information)
Triangle D: 70 degrees
Triangle E: 40 degrees
Step-by-step explanation:
Work for Triangle A: 90 + 52 = 142. 180 - 142 = 38.
Work for Triangle B: Unidentifiable because there is no indicator to tell you if any of the angles/lines are equal. Generally there will be a "double lined" indicator in the corners of which a triangles angles are equal.
Work for Triangle C: Same as B.
Work for Triangle D: 90 + 20 = 110. 180 - 110 = 70.
Work for Triangle E: 90 + 50 = 140. 180 - 140 = 40.
Answer:
x = 3
Step-by-step explanation:
The translation rule (x + 10, y - 6) means add 10 to the original x- coordinate and subtract 6 from the original y- coordinate, that is
G(- 7, 4) → G'(- 7 + 10, 4 - 6) → G'(3, - 2)