Answer: x = 156°
Step-by-step explanation:
So it is proven all triangles equal 180° and all straight angles are 180° so
85+71= 156
180-156=24°
but since you are trying to find x (to create the straight angle) and now know the other missing angle is 24°
180-24= 156
x=156°
For this case we must find an expression equivalent to:

By definition of power properties we have to meet:

Then, we can rewrite the expression as:

Answer:

You can do 12/12 8/8 10/10 3/3 and 2/2 all equal to 6/6 all in different ways.
Answer:
85, 68, 51
Step-by-step explanation:
Average: The sum of all the numbers divided by the number of numbers
If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x
Then using the definition of an average, we can write this equation.
(5x + 4x + 3x) / 3 = 68
Multiply both sides by 3.
5x + 4x + 3x = 68 * 3
Simplify.
12x = 204
x = 17
Now, substitute x = 17 into the original scores (5x, 4x, and 3x)
5x = 5 * 17 = 85
4x = 4 * 17 = 68
3x = 3 * 17 = 51
Just in case, let's check this answer. Find the average of the 3 test scores.
(85 + 68 + 51) / 3 =
204 / 3 = 68
Thus, the answers are correct