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Inessa [10]
3 years ago
13

in a quadrilateral, two of the angles each have a measure of 40°, and the measure of a third angle is 130°. What is the measure

of the remaining angle?
Mathematics
1 answer:
Tju [1.3M]3 years ago
8 0
The total sum of a quadrilateral is 360 degrees. 360-40-40-130=150 degrees.
Therefore the answer is 150 degrees.
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When testing for current in a cable with eight ​color-coded wires, the author used a meter to test five wires at a time. How man
balu736 [363]

Answer:

56 different tests

Step-by-step explanation:

Given:

Number of wires available (n) = 8

Number of wires taken at a time for testing (r) = 5

In order to find the number of different tests required for every possible pairing of five wires, we need to find the combination rather than their permutation as order of wires doesn't disturb the testing.

So, finding the combination of 5 pairs of wires from a total of 8 wires is given as:

^nC_r=\frac{n!}{r!(n-r)!}

Plug in the given values and solve. This gives,

^8C_5=\frac{8!}{5!(8-5)!}\\\\^8C_5=\frac{8\times 7\times 6\times 5!}{5!\times 3\times2\times1}\\\\^8C_5=56

Therefore, 56 different tests are required for every possible pairing of five ​wires.

6 0
3 years ago
A couch is 94 inches long. what is the length in feet and inches
enyata [817]
There are 12 inches in a foot.

Divide 94 by 12.

94 / 12 = 7.8333

So there are 7 feet and a few inches.

Now we multiply 12 to 7.

12 * 7 = 84

Subtract this from 94.

94 - 84 = 10

So there are 7 feet and 10 inches in 94 inches.
3 0
3 years ago
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3 years ago
Nick has tennis practice every sixth day. Mark has tennis practice every 4th day. On July 31st they both had tennis practice. Wh
Montano1993 [528]

Nick has tennis practice every sixth day = 6

Mark has tennis practice every 4th day = 4

They both had tennis practice on = 31st July

We have to find when will be the next time that they both have practice on the same day?

For this, we will find the LCM of 4 and 6

So, LCM of 4 and 6 is 12.

So, it will be 12 days after 31st July, that they will practice on the same day.

So it is 12th August.


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3 years ago
Solve each system of equations using a matrix<br> x+y=4<br> 3x+y=6
Dvinal [7]

Answer:

hope it will help you.

3 0
3 years ago
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