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3 years ago

Find the measure of x, then find the measure of each angle

Mathematics

1 answer:

stepladder [879]3 years ago

7 0

First, you have to imagine that you cut the upper triangle. If you do that, then this is how the inner angles are added to 180°:

180° = 90° + (x/2) + (7x - 90°)

180° = x/2 + 7x

180° = x *(1/2 + 7)

180° = x*(15/2)

2/15 * 180° = x

24 = x

Angle A:

A= x/2

A = 24/2

A = 12°

Angle B:

B = 7x

B = 7*24

B = 168°

The two bottom angles are both worth 90°.

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3 years ago

If Kamila can do a job in 26 hours and Simon and Kamila working together can do the same job in 9 hours , find how long it takes

Kay [80]

Answer:

Simon takes approximately 13.76 hours to complete the job alone.

Step-by-step explanation:

We are given the following in the question:

Kamila can do a job in 26 hours

So, part of work done by Kamila in 1 hour =

$\dfrac{1}{26}$

Simon and Kamila working together can do the same job in 9 hours .

So, (Simon and Kamila)'s 1 hour work =

$\dfrac{1}{9}$

So, Simon's 1 hour work =

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So,

Simon can do $\frac{17}{234}$ part of work in hour = 1

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3 years ago

The expression sin 57° is equal to

ValentinkaMS [17]

Answer:

$cos(33^{\circ})$

Step-by-step explanation:

Given

$sin(57^{\circ})$

Required

Determine an equivalent expression

In trigonometry:

$sin(\theta)= cos(90^{\circ} - \theta)$

In $sin(57^{\circ})$

$\theta=57^{\circ}$

Substitute $57^{\circ}$ for $\theta$

in $sin(\theta)= cos(90^{\circ} - \theta)$

$sin(57^{\circ})= cos(90^{\circ} - 57^{\circ})$

$sin(57^{\circ})= cos(33^{\circ})$

Hence, the equivalent expression is: $cos(33^{\circ})$

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3 years ago

Suppose the first term of a geometric sequence is multiplied by a nonzero constant, c. What happens to the following terms in th

ratelena [41]

The next terms in the sequence will be multiplied by c, but the common ratio is still the same

example :

S = [1(3)^4 - 1]/ [3-1] = 80/2 - 40

Hope this helps

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3 years ago

Find the measure of x, then find the measure of each angle​

Find the measure of x, then find the measure of each angle