Answer:
-15
Step-by-step explanation:
Multiply the whole equation by the inverse of the multiplier of the blank. Then you get ...
___ × 1 = (-27)×(5/9) = -15
The blank filled with -15 will make the equation true.
2power 4x=2 power x +9
2 power 4x- 2power x = 9
4x-x=9
3x=9
x= 3
<span>
<u><em>The correct answer is: </em></u>green and blue.
<u><em>Explanation</em></u><span>
<u><em>: </em></u>We want to see which fractions </span></span>

is a multiple of. We know that

is a multiple of

, because

*3=

.
We can divide fractions to determine if

is a multiple of

:

;
in order to divide fractions, flip the second one and multiply:

)*

=

=1

.
This did not divide evenly, so

is not a multiple of 1/2.
Checking to see if

is a multiple of

,

;
flip the second one and multiply:

*

=

=6.
This divided evenly, so

is a multiple of

.
For problem #4 the answer is 100°. The triangle are congruent meaning the angles that are given both of the triangle have to have the same angles.
The triangle sum theorem is all triangles have a 180° . All the 3 angles = 180.
They gave you two angles of the triangle. So add the two angles and find the difference of 180.
50+30=80
180-80=100°
#5 set those 2 angles equal. Because the A corresponds to Q. Solve for X and plug in your x value