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3 years ago

Analyze the diagram below and complete the instructions that follow.

Mathematics

2 answers:

mixas84 [53]3 years ago

6 0

Option (B) is the answer to ur questions..!!
{as to my preference I have marked/named the lines }

lakkis [162]3 years ago

5 0

Hello, there!

<3 and 70 degrees are "vertical angles," and so m<3 is 70 degrees.

<1 and 70 degrees are "complementary angles," and so <1 = 90 - 70, or 20 (degrees).

Then m<3 - m<1 = 70 degrees - 20 degrees = 50 degrees (answer)

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HELP HELP <br> PLZ I WILL MARK YOU BRILL

Nikitich [7]

Answer:

1) 55 2)60-80 3)95 4)92.5(mean), 92.5 (median), 95 (mode) 5) the outlier greatly offsets the data as it is no where near the other data points.

Step-by-step explanation:

4 0

3 years ago

Students reported practicing violin during the last semester for 45, 38, 52, 58, and 42 hours. What is the mean absolute deviati

Irina-Kira [14]

The mean absolute deviation for the number of hours students practiced the violin is 6.4.

<h3>What is the mean absolute deviation?</h3>

The average absolute deviation of the collected data set is the average of absolute deviations from a center point of the data set.

Given

Students reported practicing violin during the last semester for 45, 38, 52, 58, and 42 hours.

The given data set is;

45, 38, 52, 58, 42

Mean Deviation = Σ|x − μ|/N.

μ = mean, and N = total number of values

|x − μ| = |45 − 47| = 2

|38− 47| = 9

|52− 47| = 5

|58− 47| = 11

|42− 47| = 5

The mean absolute deviation for the number of hours students practiced the violin is;

$\rm Mean =\dfrac{2+9+5+11+5}{5}\\\\Mean=\dfrac{32}{5}\\\\Mean = 6.4$

Hence, the mean absolute deviation for the number of hours students practiced the violin is 6.4.

To know more about mean value click the link given below.

brainly.com/question/5003198

8 0

2 years ago

Solve GHI. Round the answer to the nearest hundredth.

Sedaia [141]

Answer:

Part 1) $HI=15\ units$

Part 2)

Part 3) $< I=28.07\°$

The answer is the option A

Step-by-step explanation:

Part 1) Find the measure of side HI

Applying the Pythagoras Theorem

$GI^{2} =GH^{2}+HI^{2}$

substitute the values and solve for HI

$17^{2} =8^{2}+HI^{2}$

$HI^{2}=17^{2}-8^{2}$

$HI^{2}=225$

$HI=15\ units$

Part 2) Find the measure of angle G

In the right triangle GHI

$cos(G)=\frac{GH}{GI}$

substitute the values

$cos(G)=\frac{8}{17}$

$G=arccos(\frac{8}{17})=61.93\°$

Part 3) Find the measure of angle I

Remember that

The sum of the interior angles of a triangle must be equal to 180 degrees

substitute the values

$61.93\°+90\°+< I=180\°$

$< I=180\°-(61.93\°+90\°)=28.07\°$

7 0

4 years ago

A pole that is 2.5 m tall casts a shadow that is 1.47 m long. At the same time, a nearby tower casts a shadow that is 36.25 m lo

Roman55 [17]

The tower is 61.65 meters tall.

<u>SOLUTION: </u>

Given that, a pole that is 2.5 m tall casts a shadow that is 1.47 m long.

At the same time, a nearby tower casts a shadow that is 36.25 m long.

We have to find height of the tower.

Now, we know that,

$2.5 \mathrm{m} \text { tall } \rightarrow 1.47 \text { long shadow }$

Then, (let it be) n meter tall $\rightarrow$ 36.25 long shadow

So, by cross multiplication method,

$\Rightarrow \frac{2.5}{1.47}=\frac{n}{36.25}$

This can be written as,

$\Rightarrow 36.25 \times 2.5=1.47 \times n \rightarrow 1.47 n=90.625 \rightarrow n=61.649 \rightarrow n=61.65 \text{ m}$

Cross multiplications steps: (To find Single Variable)

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction.
Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.
Set the two products equal to each other.
Solve for the variable.

6 0

3 years ago

A ratio compares two values using which operation?

anastassius [24]

The correct answer is division

4 0

3 years ago

Read 2 more answers