Answer:
(a, b, c) = (30°, 60°, 105°)
Step-by-step explanation:
Angle "a" and 30° are vertical angles, hence equal.
Angle "b" and angle "a" are complementary angles, so b = 90° -30° = 60°.
Angle "c" is supplementary to the one marked 75°, so is 180° -75° = 105°.
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Angles "a" and "b" are complementary because the sum of angles in a triangle is 180° and the third angle in that triangle is 90°. Then ...
a+b = 180°-90° = 90°
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75° and "c" are supplementary, because they are linear angles. The angle measure of a line is 180°, so that is their total measure.
<span>Common numbers for 15 18 and 12: 1 and 3</span>
Answer:
1) $283.50
2) 65.21 meters.
Step-by-step explanation:
Part 1)
We know that a spool of ribbon holds 6.75 meters.
A craft club buys 21 spools.
So, the total length of ribbon bought is:

Each meter costs $2. So, the total cost will be:

Part 2)
A spool holds 6.75 meters.
We bought 21 of them, so that total length we have is 141.75 meters.
The club used 76.54 meters.
So, the amount of ribbon that is left is represented by:

Subtract:

So, 65.21 meters of ribbon will be left.
I told this to someone else also...
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Answer:$270
Step-by-step explanation:
I=PRT
Interest=principal times rate times time
Principal=1500
Rate=9%=0.09
Time=2
I=1500 times 0.09 times 2
I=1500 times 0.18
I=270
Interest=270
Total is 1500+270=1770 total paid