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seraphim [82]
3 years ago
7

an angles measure is 6 degrees more than 3 times the measure of its complwment. find the measure of the angles.

Mathematics
1 answer:
irina1246 [14]3 years ago
3 0

Answer:

The angles are 22.5 and 67.5.

Step-by-step explanation:

A complement is the angle that when added to the given angle gives 90 degrees.

Therefore, the angle x is 3 times larger than its complement.

This means that x is 3/4 of 90 degrees and complement is 1/4 of 90 degrees.

Therefore, the angles are 22.5 and 67.5.

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A triangle has sides with lengths of 12 kilometers, 35 kilometers, and 37 kilometers. Is it a right triangle?
quester [9]

Answer: yes

Step-by-step explanation:

Using Pythagorean theorem WHICH ONLY WORKS FOR RIGHT TRIANGLES,

a^2+b^2=c^2 where a and b are the two shortest legs.

12^2+35^2=c^2

144+1225=c^2

c^2=1369

c=

c=37

8 0
3 years ago
Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio
Scorpion4ik [409]

Answer:

The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is 75.8%.

Step-by-step explanation:

The probability, in this case, has to be calculated using the sum rule because the events are independent. 

P = P(men) + P(non-fiction) - P(men non-fiction); where P is the probability. It means the probability that the random book was written by a man plus the probability that the random book was non-fiction minus the probability that the random book was written by a man who writes non-fiction. The probability that the random book was written by a man who writes non-fiction has to be subtracted, if not you will be duplicating it. 

Facts:

P(men) = 60% = 99/165

P(non-fiction) = 40% = 66/165

P(men non-fiction) = 40/165

P = P(men) + P(non-fiction) – P(men non-fiction)

P = 99/165 + 66/165 – 40/165

P = 125/165

P = 0.758 or 75.8%

3 0
3 years ago
A circle with radius of 1 cm sits inside a 11 cm x 12 cm rectangle.
s2008m [1.1K]

Answer:

125.72

Step-by-step explanation:

radius equals pi(r)2

rectangle equals b times h

radius is 6.28

rectangle is 132

you now subtract them

132 minus 6.28 which is 125.72

hope this helps

7 0
3 years ago
Read 2 more answers
Wilson paints 40% of a bookcase in 20 minutes. How much more time will it take him to finish his bookcase
aivan3 [116]
It will take 60 more minutes to complete the entire bookshelf
40%+60%=100% of the bookshelf
20+20+20=60
8 0
3 years ago
Find the solution set of the inequality<br> 4x-1&lt; 11.<br><br> PLEASE HEP I NEED THIS ASAP!!!!
maxonik [38]

Answer: x > 3

Step-by-step explanation:

In order to find x, we must isolate it first.

Add one to both sides. It's now 4x < 12.

Now we divide both sides by 4, remember that every time we divide or multiply we must flip the inequality symbol.

The final answer is x > 3

6 0
3 years ago
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