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Kitty [74]
3 years ago
6

Someone please help me with this geometry proof question ASAP!

Mathematics
1 answer:
vivado [14]3 years ago
8 0

Answer:

if ∠Q=∠R

draw an angular bisector from P to QR in which it intersect wit Qr at point S

now we have two triangle : QPS and RSP

in which angle : QPS=RPS ( PS is angular bisector)

and we have angle Q and angle R are equal

and PS is common side

this makes triangle QPS and RSP are congruent by AAS(angle angle side)

which also means that pQ=PR ( proved)

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Jovian decided to collect data to determine if students' heights and their shoe sizes are correlated. He determined the data to
Phantasy [73]

Answer:

A strong positive correlation

Step-by-step explanation:

A strong correlation when the correlation coefficient is close to 1 or -1. If the correlation coefficient is close to positive 1, then it is a positive strong correlation coefficient. If the correlation coefficient is close to negative 1, then it is a negative strong correlation coefficient.

7 0
3 years ago
Find the complement and supplement of the given angle 43 degrees
densk [106]

Answer:

<em>The complement is 47° and the supplement is 137°.</em>

Step-by-step explanation:

<u>Complementary and Supplementary Angles</u>

When the sum of two angles is equal to 90 degrees, they are called complementary angles. Similarly, if the sum of two angles is 180 degrees, they are called supplementary angles.

We are given an angle of 43 degrees. Its complementary angle is 90° - 43° = 47°, and its supplementary angle is 180° - 43° = 137°.

The complement is 47° and the supplement is 137°.

8 0
3 years ago
C) 15476<br> round to the nearest 1000
dusya [7]

Answer:

15000

Step-by-step explanation:

In 15476, 5 is the place value of thousand. For rounding it to nearest 1000, check the next digit to 5. It is 4, which is less than 5. So, 15476 rounded to 1000 is 15000

6 0
3 years ago
Read 2 more answers
Justin has a rectangular garden measuring 10ft by 16ft that he wants to split diagonally from corner to corner using a fence. Ho
balandron [24]

Answer:

The fence is 18.9 ft long.

Step-by-step explanation:

If you were to create a diagonal line from corner to corner with a square that is 10x16ft, you would have a triangle with 2 known sides and an unknown value. In this case, because you are making a 90° triangle, you can use Pythagorean Theorem:

a^{2} + b^{2} = c^{2}

  • by plugging in the two values given (10 and 16):

10^{2} + 16^{2} = c^{2}

  • solve

100 + 256 = c^{2}

356 = c^{2}

√356 = c

18.9 = c

4 0
3 years ago
The ages of personnel in the accounting department of a large company are normally distributed with a standard deviation of 7 ye
Blababa [14]

Answer:

The mean of this distribution is 36 years.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\sigma = 7

There is a 0.02275 probability that the age of any randomly chosen person in the department is less than 22

This means that when X = 22, Z has a pvalue of 0.02275. So when X = 22, Z = -2. So

Z = \frac{X - \mu}{\sigma}

-2 = \frac{22 - \mu}{7}

22 - \mu = -2*7

\mu = 22 + 2*7

\mu = 36

The mean of this distribution is 36 years.

4 0
3 years ago
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