Only the third model shows parallel lines cut by a transversal.
We can solve this problem by using some properties that parallel lines cut by a transversal have. First of all, corresponding angles are congruent, and since the angles in figure 1 are corresponding but not congruent, that means that figure one is out.
In addition, in figure two, alternate exterior and interior angles of parallel lines intersected by a transversal are congruent, so since they are not in the picture, that means that this figure is also out.
Figure three is correct because since those are same side interior angles, they need to be supplementary for those to be two parallel lines intersected by a transversal. Since they do, in fact, add up to 180°, that means that the answer is figure three.
4 units right and 4 units down
Answer:
<h3> D) $276.26</h3>
Step-by-step explanation:
Deposited amount initially (P) = $250.
Rate of interest(r) = 2.5% compounded monthly = 0.025
Number of years (t) = 4.
Number of months in an year (n) = 12.
Formula for compound interest:
.
Plugging values in formula, we get



A=276.26.
<h3>Therefore, correct option is D) $276.26.</h3>
I got 75582.
Explanation:
First, group the 40 identical candies into 20 pairs. It doesn't matter how since the candies are identical. This grouping will ensure that any assigment will contain at least two candies.
Then think of the 20 groups a 20 beads on a string. We are looking to place 11 separators between them to obtain 12 segments, each with a varying number of beads between them. How many ways are there to place 11 separators to 19 potential spaces between beads? The asnwer is 
Answer:
The blank exponent is 3
Step-by-step explanation:
It is given that n^x=1/64 where n=1/4
1/4^x=1/64
1/4*1/4*1/4=1/64, so x=3 works as a solution. You could use logarithms, but it makes things more difficult, especially in this case.