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4 years ago

The measure of arc XZ is 28° what is the measure of XYZ

Mathematics

1 answer:

ratelena [41]4 years ago

4 0

Arc XZ is marked in red (see the image attachment)
Angle XYZ is marked in blue

It turns out that angle XYZ is exactly half the measure of arc XZ. This is due to the inscribed angle theorem. Angle XYZ is an inscribed angle that cuts off, or subtends, arc XZ.

measure of arc XZ = 28 degrees
measure of angle XYZ = (1/2)*(measure of arc XZ)
measure of angle XYZ = (1/2)*(28 degrees)
measure of angle XYZ = 14 degrees

Answer: D) 14 degrees

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KonstantinChe [14]

<h2> QUESTION # 1</h2>

Answer:

Total distance = 21 units (meters)

The average speed = 7 meter per second.

Step-by-step explanation:

To Determine:

If the whole run took the bug 3 seconds, what was its average speed?

Information Fetching and Solution Steps:

A beetle was running along a number line.

The beetle ran from 4 to 25.

Let suppose each unit on a number line represents 1 meter.

As the beetle ran from 4 to 25, so

the distance covered by beetle is:

25 - 4 = 21 units. i.e. 21 meters

As the average speed can be determined by dividing the total distance by the total time, so

The average speed = total distance / total time

Total distance = 21 units (meters)

Total time = 3 seconds

The average speed = total distance / total time

= 21/3

= 7 meter per second

Therefore, the average speed = 7 meter per second.

<h2> QUESTION # 2</h2>

Answer:

Total distance = 54 units (meters)

The average speed = 6 meter per second.

Step-by-step explanation:

To Determine:

If the whole run took the bug 9 seconds, what was its average speed?

Information Fetching and Solution Steps:

A beetle was running along a number line.

The beetle ran from 24 to 78.

Let suppose each unit on a number line represents 1 meter.

As the beetle ran from 24 to 78, so

the distance covered by beetle is:

78 - 24 = 54 units. i.e. 54 meters

As the average speed can be determined by dividing the total distance by the total time, so

The average speed = total distance / total time

Total distance = 54 units (meters)

Total time = 9 seconds

The average speed = total distance / total time

= 54/9

= 6 meter per second

Therefore, the average speed = 6 meter per second.

6 0

4 years ago

What is the GCF of 24 and 44?

mariarad [96]

<span> write out all the factors of each number or draw out a factor tree

24:1,2,3,4,6,8,12,24

44:1,2,4,11,22

the GCF is the largest number in both the lists so in this case it is 4 </span>

6 0

3 years ago

Read 2 more answers

The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Donna drew the line of best fit

Nezavi [6.7K]

Using the given linear function of best-fit, the most likely approximate height of the plant after 8 weeks would be of 7.4 centimeters.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line of best-fit goes through points (0,1) and (5,5). Point (0,1) means that the y-intercept is of b = 1. The slope is given as follows:

m = (5 - 1)/(5 - 0) = 4/5 = 0.8.

Hence the equation that gives the approximate height after x weeks is:

y = 0.8x + 1.

After 8 weeks, the expected height is:

y = 0.8 x 8 + 1 = 6.4 + 1 = 7.4 centimeters.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

4 0

2 years ago

Which expression is equivalent to 2^2×2/2^4

dusya [7]

First step is to simplify the equation so that it makes our life easier! Since 2^2 is equivalent to 4, we can plug that into the equation. Then we can also simplify 2^4 to 16. Now it should look like this:

(4)(2)/16

Now we can solve. 4(2) = 8 so now we have 8/16. 8/16 simplifies to 1/8 when you divide the numerator and the denominator by 8. So there you go! Your final answer is 1/8! I really hope that helped you out, and happy holidays!

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3 years ago

A semicircle is attached to the side of a rectangle as shown.

laiz [17]

Answer:

$58.8\ mm^2$