ANSWER:
A and B aren't parallel lines, as the alternate angles aren't equivalent to each other.
For m angle 1 -
Vertically opposite angles are equivalent to each other.
m angle 1 is vertically opposite m angle 4.
Therefore:
m angle 4 = 100
m angle 1 = m angle 4
m angle 1 = 100
For m angle 6 -
Co-interior angles add up to 180°.
m angle 4 and m angle 6 are co-interior angles.
Therefore:
m angle 4 = 100
m angle 4 + m angle 6 = 180
100 + m angle 6 = 180
m angle 6 = 180 - 100
m angle 6 = 80
For m angle 7 -
Vertically opposite angles are equivalent to each other.
m angle 6 is vertically opposite m angle 7.
Therefore:
m angle 6 = 80
m angle 7 = m angle 6
m angle 7 = 80
For m angle 8 -
Corresponding angles are equivalent to each other.
m angle 8 and m angle 4 are corresponding angles.
Therefore:
m angle 4 = 100
m angle 8 = m angle 4
m angle 8 = 100
Hence, the angles are as follows:
m angle 1 = 100
m angle 6 = 80
m angle 7 = 80
m angle 8 = 100
Hope this helps! <3
Answer:
1
Step-by-step explanation:
If 3m + 5 = 8
We can say 8 - 5 = 3m
So, 3 = 3m
So, m = 1.
1 x 3 = 3!
Answer:
6 √2 -4 √3
Step-by-step explanation:
Here, we want to rationalize the denominator of the following surdic fraction;
2√6/(√2 + √3)
To rationalize this, we have to multiply the numerator and the denominator by the conjugate of the denominator
The conjugate of the denominator is √2 - √3
So, we have the rationalization as follows;
2 √6(√2-√3)/(√2 + √3)(√2-√3)
Thus, we have
(4√3-6 √2)/(-1)
= 6 √2 -4 √3
Answer:
(x+5)
Step-by-step explanation:
Here, (x + 5) matches your answer choices
