Answer:
105
Step-by-step explanation:
Theorem:
If parallel lines are cut by a transversal, then same-side interior angles are supplementary.
Lines AB and CD are parallel, and angles 3 and 6 are same-side interior angles, so by the theorem above, angles 3 and 6 are supplementary. That means that the sum of their measures is 180 deg.
m<3 + m<6 = 180
m<3 + 75 = 180
Subtract 75 from both sides.
m<3 = 105
Answer: 105 degrees
The coordinates of A will be (2P +M)/3
= (2(16, 14) +(1, 4))/3 = (33/3, 32/3) = (11, 32/3)
The appropriate choice is
(C) (11, 32/3)
_____
You will note that the coordinates of A are the weighted average of the coordinates of the end points. The weighting is the reverse of the ratio of the line segments. That is, the point adjacent to the shortest segment gets the highest weighting. (This is typical of the solution to "mixture" problems.)
Step-by-step explanation:
Here important information is missing. That is total number of divide.
However, it is given that riley made groups of 12 with 1left over from total number of divide. So, total number of divides on the drawing must be a multiple of 12 +1. It can be any number like 12n+1, where n is an integer. Then we ca find total number of group.
Answer:
Step-by-step explanation:
Givens
a = 2
r = 4
n = 10
tn = ??
Formula
tn = ar^(n - 1)
Solution
t_10 = 2 * 4^(10 - 1)
t_10 = 2 * 4^9
t_10 = 524288
The total number of coins in Lucy's coin collection is equal to 80 coins.
- Let the total number of coins be C.
<u>Given the following data:</u>
- Percentage of quarters = 15%
- Total number of quarters = 12 quarters
To the total number of coins in Lucy's coin collection:
Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.
<u>Total number</u><u> of </u><u>coins</u><u>:</u>
C = 80 coins.
Read more on word problem here: brainly.com/question/24604067
