Answer:
MN = 6
This is because the shapes are dialations of each other
So PO and ML are the same side of the triangles but ML is dialated by a factor of 3.5 so that applies to the whole shape. So 21/3.5 = 6
Answer:
55 cents.
Step-by-step explanation:
First, we start off with a half dollar (50 cents), and add a quarter (25 cents). 50 + 25 = 75. Next we take two dimes (each dime being 10 cents). 10 + 10 is 20, so we have twenty cents in dimes. It says to subtract the 2 dimes from our current number 75 minus 20 is 55. Therefore, we have 55 cents left. (If needed, that is 1 half dollar and 1 nickel.)
Hope this helps! :D
Answer:
(A)
Step-by-step explanation:
We know that The measure of the external angle is the semi difference of the arcs that it covers.
so, the arcs that it covers are arc AC and arc ABC.
Thus, We have
AB and BC as its tangents, the measure of arc AC is 120°, therefore according to the theorem on circles,
360°=arc AC + arc ABC
360°=120°+arc ABC
arc ABC=240°
Then, ∠ABC=
=
Therefore, the measure of angle ABC=60°.
Hence, option a is correct.
Answer:
As a teenager in Florida you can get your learners permit at 15 years old and a year later you can get your drivers license
If the wall is 100%=1, then Stan paints x percent of the wall in 15 minutes and Ted paints (1-x)=y percent of the wall in 15 minutes due to that they finish the wall in 15 minutes. Assuming Stan paints the wall at a uniform rate, he gets 15/40=3/8=0.375 of the wall done in 15 minutes, meaning that Ted paints 1-0.375=0.625 of the wall in 15 minutes. We want to know how long it takes for himself to get the wall done, so we have that if Ted finishes the wall in z minutes, 0.625/15*z=1 (since 0.625/15 is how much he gets done in 1 minute). Dividing both sides by (0.625/15), we get z=15/0.625=24
