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Firlakuza [10]
3 years ago
9

Find the value for a.

Mathematics
1 answer:
Airida [17]3 years ago
6 0

Answer:

a = 25

Step-by-step explanation:

The exterior angles of a polygon sum to 360°

Sum the exterior angles and equate to 360

a + a + 40 + 51 + 55 + 54 + 2a + 60 = 360, that is

4a + 260 = 360 ( subtract 260 from both sides )

4a = 100 ( divide both sides by 4 )

a = 25

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Express the following numbers as a ratio between an integer and a natural number.
Julli [10]

Answer:

Step-by-step explanation:

a) 7/5, 3/10, -13/4,-27/1,0

b)36/1,-45/1,21/5, -4/5, 91/6,-2/9

5 0
2 years ago
21 feet to 8 yards write a ratio as a fraction in simplest form without any units
Dmitriy789 [7]

We know, 3 feet = 1 yard.

We have to convert feet to yards to calculate the ratio so that the final answer doesn't have any unit.

Therefore, 21 feet = \frac{21 feet}{3 feet}yards = 7 yards

Thus, the ratio

\frac{21feet}{8yards} =\frac{7yards}{8yards} =\frac{7}{8}

The fraction \frac{7}{8} is already in its simplest form.

Therefore, the given ratio as a fraction in the simplest form without any units is \frac{7}{8}

3 0
3 years ago
The measure of an angle is 71°. What is the measure of its supplementary angle?
SpyIntel [72]

Supplementary angles add up to 180°

-> The measure of an angle that is supplementary to a 71° angle is 180° - 71° = 129°

5 0
2 years ago
Divide 72 in a ratio of 1:3:5
likoan [24]
<span>1+3+5 = 9

72/9 = 8

1 x 8 = 8
3 x 8 = 24
5 x 8 = 40

</span><span>72 in a ratio of 1:3:5 = 8:24:40</span>
6 0
3 years ago
Please help! It is Geometry
djyliett [7]

Answer:

X=20; pqr = 130°

Step-by-step explanation:

They key here is to notice that the instructions say that qs bisects pqr, meaning that it evenly cuts it into 2 pieces. So, to find x, you just solve for x in the equation 3x+5=2x+25. Then, you plug it back into either side of the equation, at which point, you should get 65. Since it is half of pqr, just double it to get your final answer of 130°

5 0
3 years ago
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