Answer:
x = 120 degrees
Step-by-step explanation:
angle below x is 40 degrees because it is a corresponding angle.
x = 180 - 40 - 20 = 120 degrees
Answer:
127 degrees
Step-by-step explanation:
1. Find the angle next to "x" using the fact that all the angles in a triangle add to 180 degrees.
180-30-97 = 53
2. Angle X and the angle that is 53 degrees are supplementary meaning they will add to 180 degrees since it's on a line
180-53=57
Hope this helped :)
Answer:
#9: 1.2
#10: 1.25
Step-by-step explanation:
To find the scale factor of the smaller figure to the larger figure, we're going to be dividing the measurements of corresponding edges.

If you wanted to find the scale factor of the larger figure to the smaller figure, you'd do: 
Question #9:
Left edges:
⇒
= 1.2
Bottom edges:
⇒
= 1.2
<em>(You should get the same number as long as the figures are similar.)</em>
<em />
Question #10:
Bottom edges:
⇒
= 1.25
<em>(There are no corresponding edges with measurements that we can compare.)</em>
<em />
~Hope this helps!~
Answer:
The measure of
is 30°.
Step-by-step explanation:
In the statement, the angle has been misrepresented. The corrected statement is described below:
<em>"On a unit circle, the terminal point of </em>
<em> is </em>
<em>. What is </em>
<em>?"</em>
The measure of the angle (
), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form
is determined by the following inverse trigonometric function:
(1)
If we know that
and
, then the measure of
is:


The measure of
is 30°.
9514 1404 393
Answer:
y = 1
Step-by-step explanation:
Recognize that 25 and 125 are powers of 5 and rewrite the equation in terms of powers of 5.
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)/(a^c) = a^(b-c)
(a^b)(a^c) = a^(b+c)
__
Your equation can be written as ...

Now this can be solved as an ordinary linear equation.
8 = 8y . . . . . . add 5y to both sides
1 = y . . . . . . . divide by 8
The solution is y = 1.