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algol [13]
3 years ago
11

Pls help with sum geometry

Mathematics
2 answers:
erica [24]3 years ago
7 0

Answer:

\Large \boxed{\mathrm{D}}

Step-by-step explanation:

The triangles can be proven by AA or Angle-Angle similarity.

\angle QUR \cong \angle TUS

The vertical angles are congruent.

\angle R \cong \angle S

The alternate interior angles are congruent.

kaheart [24]3 years ago
4 0

YES! quite easily.

I hope you can see the two pairs of corresponding angles between the parallel lines. they'll be equal

and then there's a pair of vertically opposite angle at centre.

that means all pairs of corresponding angles are equal, thus, triangles are similar by AAA

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What is 43.2÷16= in partial quotients​
sergejj [24]

43.2\16= 2.7 hope this helps

8 0
3 years ago
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in a test correct answer are given positive numbers and for incorrect negative numbers jack scored in successive rounds were-65,
eimsori [14]

Answer:

<em>Jack scored a total of -40</em>

Step-by-step explanation:

<u>Arithmetic</u>

Jack took a test where the correct answers are given as positive numbers and the incorrect answers are negative numbers.

The scores were

-65,-10,-15,20,30

The total score is the arithmetic sum of all scores, including their signs:

Total score: -65-10-15+20+30

Total score: -40

Jack scored a total of -40

4 0
3 years ago
in the town of pleasant hill there is an average of 16 sunny days each month. write an expression to represent the approximate n
denis23 [38]
32 divided by 2 would equal 16 sunny days.
6 0
3 years ago
The perimeter of a rectangular field is 360yd. The length is 20yd longer than the width. Find the dimensions
Tju [1.3M]
If P=360, then 360yd / 4 sides = 90yds each side. Now that it is a rectangle, the Length should be more than the width, so if the length is 20yds more than the width, do 90 - 20 two times,  Width= [ (90yds - 20yds)*2 ] 

To sum things up, Length = 110; Width = 70. | 110*2 = 220, 70 * 2 = 140, 220+140 = 360.
5 0
3 years ago
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Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F. Sally's temperature can be described by z =
irina1246 [14]

Answer:

Sally's temperature is 97.27 °F.

Step-by-step explanation:

All the information given in the question tells us that the human body temperatures are normally distributed with a population's mean = 98.20°F and a standard deviation = 0.62°F.

The question gives us Sally's temperature in a <em>z-score</em>. We have to remember that the <em>standard normal distribution</em> is a particular case of a <em>normal distribution</em> where the mean = 0 and the standard deviation = 1.

Using <em>the standard normal distribution,</em> we can determine every probability associated with a normal distribution "transforming" the raw scores, coming from normally distributed data, into z-scores.

A z-score gives us the distance from the population's mean and is in standard deviation units. So, a z = 1.5 tells us that the value is 1.5 standard deviations <em>above the mean</em>. Conversely, a z = -1.5 tells us that the raw score is also 1.5 standard deviation from the mean, but in the opposite direction, that is, <em>below the mean</em>.

The formula for a z-score is as follows:

\\ z = \frac{x - \mu}{\sigma} (1)

Where

\\ x\;is\;the\;raw\;score.

\\ \mu\;is\;the\;population\;mean.

\\ \sigma\;is\;the\;population\;standard\;deviation.

Then to find <em>x </em>(or the raw score, that is, Sally's temperature), we need to solve the formula (1) for it to finally solve the question.

Then

\\ \mu = 98.20^\circF °F

\\ \sigma = 0.62^\circF °F

\\ z = -1.5

Thus (with no units)

\\ -1.5 = \frac{x - 98.20}{0.62}

\\ (-1.5*0.62) = x - 98.20

\\ (-1.5*0.62) + 98.20 = x

\\ x = (-1.5*0.62) + 98.20

\\ -0.93 + 98.20

\\ x = 97.27°F

Thus, Sally's temperature is \\ x = 97.27°F (rounding the answer to the nearest hundredth).

8 0
3 years ago
Read 2 more answers
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