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:
5/9
Step-by-step explanation:
You started with 10 marbles total. You removed one marble and did not replace it, so you now have 9 marbles. The marble that you removed was NOT a gold marble, so you still have 5 gold marbles.
This means that out of the 9 marbles that you have left, 5 of them are gold.
This means you have a 5/9 chance of drawing a gold marble next.
Answer: 3/64
Step-by-step explanation: I think you ask 3/4 divided by 32/2 if you are the answer is 3/64. How to divided is first simplify the expression, if possible, by canceling the common factors. But if your asking me to do 32/2 divided by 3/4 the answer is 64/3 if you want it to be an improper fraction but if you want it to be a mixed fraction it would be 21 1/3. How to divided is first simplify the expression, if possible, by canceling the common factors.
The modulus of complex number can be computed with this equation:
|z|=sqrt(Re(z)^2+Im(z)^2)
z = -2-6i
Re(z)=-2, so Re(z)^2=4
Im(z)=-6, so Im(z)^2=36
|z|=sqrt(36+4)=sqrt(40)=6.3
