The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to s units:

Find the measure of b. (Explain how you found it please!)

Allisa [31]

Answer:

125 deg

Step-by-step explanation:

Keep these three rules in mind:

1) A central angle (vertex is the center of the circle) has the same measure as the arc it intercepts.

2) The measure of an inscribed angle (vertex is point on circle) is half the measure of the intercepted arc.

3) Opposite angles of a rectangle inscribed in a circle are supplementary.

110 deg is a central angle.

By rule 1), the arc intercepted by the central angle 110 deg also measures 110 deg.

a is an inscribed angle that intercepts an arc of 110 deg.

By rule 2), the measure of an inscribed angle is half the measure of the intercepted arc.

angle a measures 55 deg.

Rule 3) Angles a and b are supplementary.

a + b = 180

55 + b = 180

b = 125

5 0

2 years ago

Get it right and ill paypal 25$ if ur fast

Lady bird [3.3K]

ight what do i gotta answer tho

6 0

2 years ago

19. For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2.

worty [1.4K]

Answer:

The given lines are un-related.

Step-by-step explanation:

In the question, two lines are given as line 1 passes through (-8,-55) and (10,89). Whereas, line 2 passes through (9,-44) and (4,-14).

It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.

To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.

Step 1 of 2

Find the slope of first line.

$\begin{aligned}&m_{1}=\frac{89-(-55)}{10-(-8)} \\&m_{1}=\frac{144}{18} \\&m_{1}=8\end{aligned}$

Step 2 of 2

Find the slope of first line.

$\begin{aligned}&m_{2}=\frac{-14-(-44)}{4-9} \\&m_{2}=\frac{30}{-5} \\&m_{2}=-6\end{aligned}$

Since, both slopes are neither equal nor reciprocal of each other.

Therefore, the lines are un-related.

4 0

1 year ago

Use the unit rate of $0.45 per 1 key chain to find the amount spent on 50 extra key chains.

Anastaziya [24]

Answer:

[See Below]

Step-by-step explanation:

✦ Given the unit rate is $0.45x$ , $x=50$

$0.45*50=22.5$

So the answer would be $ $22.5$ .

~<em>Hope this helps Mate. If you need anything feel free to message me. </em>

5 0

3 years ago

A company that sells seeds wants to check that at least 90% of its corn seeds are viable. An independent testing lab plants 1000

ki77a [65]

Answer:

The data claims that 90% of the seeds are viable meaning that 90% of the seeds are likely to germinate and grow into healthy plants under good conditions.90% 0f 1000seeds gives 900seeds,and 903seeds germinated so the claim is true

Step-by-step explanation:

Total number of seeds=1000

Seeds that germinate =903

90% of 1000=>90/100×1000 =900seeds.

6 0

3 years ago