Answer:
Lines c and b, f and d (option b)
Step-by-step explanation:
To prove whether the lines satisfy the condition of being a transversal to another, let's prove one of the conditions wrong, and thus the answer -
Option 1:
Here lines a and b do not correspond to one another provided they are both transversals, thus don't act as transversals to one another, they simply intersect at a given point.
Option 2:
All conditions are met, lines c and b correspond with one another such that b is a transversal to both c and d. Lines f and d correspond with one another such that f is a transversal to both d and c.
Option 3:
Lines c and d are both not transversals, thus clearly don't act as transversals to one another.
Option 4:
Lines c and d are both not transversals, thus clearly don't act as transversals to one another.
Answer:
answer is 08
Step-by-step explanation:
3/2m-m=4+1/2*m
3m/2-m=4+1/2*m
3m/2-m=4+1/2m
3m/2-m=4+1m/2
3m/2-m=4+1m/2
3m/2-m=4+m/2
3m/2-m=4+m/2
2(3m/2-m)=2(4+m/2)
m=m+8
Answer:
7/10 or 70%
Step-by-step explanation:
Add the number of each color of balls together to get the total
5 + 2 + 3 = 10
Add the number of all the balls that aren't black
5 + 2 = 7
Then divide how many balls that aren't black by the total. This gives us the probability the ball you choose is not black
7/10 = 0.7 or 70%
Answer:

Step-by-step explanation:
The circumference of a circle with radius
is given by
. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle
is equal to
.
Formulas at a glance:
- Circumference of a circle with radius
:
- Length of an arc with central angle
: 
<u>Question 1:</u>
The radius of the circle is 12 m. Therefore, the circumference is:
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

<u>Question 2:</u>
In the circle shown, the radius is marked as 2 miles. Substituting
into our circumference formula, we get:

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:
