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2 years ago

An angle is five times its supplement. Find both angles.

1 answer:

5 0

The measure of the smaller angle is 30 degrees.
The measure of the larger angle is 150 degrees.

What I did:
supplementary angle=180 degrees.
An angle is five times its supplement=180/6=
30
30*5=150
150+30=180

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Please find the least common denominator for4/5 2/3

Ghella [55]

Answer:

A denominator of 15

Step-by-step explanation:

3 and 5 both go into 15, 4/5 = 12/15 and 2/3=10/15

4 0

3 years ago

Read 2 more answers

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

What is the greatest common factor of the following terms? 20x4y3, 26x5y3 and 12x2y3

Lena [83]

Answer:

2x²y³

good luck, i hope this helps :)

8 0

3 years ago

Si en 11 cajas de chocolates hay 220 chocolates en total. Calcula cuántos chocolates habrá en total en 5 cajas de chocolates.

pochemuha

Answer:

Habrá 100 chocolates en total en 5 cajas de chocolates.

Step-by-step explanation:

Esta pregunta es resolvida usando proporciones, con lo uso de regla de tres .

11 cajas, 220 chocolates:

Entonces:

$\frac{220}{11} = 20$

20 chocolates por caja.

Calcula cuántos chocolates habrá en total en 5 cajas de chocolates.

20 chocolates por caja, entonces:

5*20 = 100

Habrá 100 chocolates en total en 5 cajas de chocolates.

6 0

2 years ago

Find mPRT. P 649U 42° R s

Mkey [24]

Answer: 296 degrees

Step-by-step explanation:

Arc PRT is just the entire circumference - arc PT.

Since the 64 degree angle is a central angle, arc PT measures 64 degrees.

So arc PRT = 360 degree - 64 degree = 296 degrees.

3 0

2 years ago