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RSB [31]
3 years ago
7

The measure of an angle is 142.5°. What is the measure of its supplementary angle?

Mathematics
1 answer:
Debora [2.8K]3 years ago
7 0

Answer:

37.50°

Step-by-step explanation:

The sum of both sides of an angle is 180°.

180° - 142.5° = 37.50°

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What is the length of the apothem of a regular hexagon with 10-cm sides?
vodka [1.7K]

Answer:

The length of apothem of given hexagon is 8.66 cm

Step-by-step explanation:

Apothem of a polygon is given by:

apothem = \frac{s}{2\ tan\ (\frac{180}{n})}

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

s = 10cm\\n = 6

Putting the values in the formula

apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm

Hence,

The length of apothem of given hexagon is 8.66 cm

6 0
3 years ago
100 POINTS AND BRAINLIEST IF YOU ANSWER FIRST!
boyakko [2]

Answer:1/3 to the 3rd = 1/9 units

Step-by-step explanation:

a^3 = volume of a cube part 2: 1/2 to the power of 1/2

8 0
2 years ago
A store owner uses a selling price of 125%of the cost of an item. If a pair of jeans has a sales price of 33.50, what cost does
Alina [70]

Answer:

It would be $62.62 because basically you want to do 52.50 times 1.25

3 0
3 years ago
What is 75 + 15x ≥ 140
melomori [17]
75+ 15x ≥ 140
⇒ 15x ≥ 140-75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3

Final answer: x ≥ 4 1/3~
8 0
3 years ago
workers on the simile line produce 4 x + 6 bolts each day which expression shows how many books they produced in 12 days
kakasveta [241]
4x+6 is produced each day.
So in 12 days the expression is 12(4x+6)
Solve and you get 48x+72.
7 0
3 years ago
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