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3 years ago

Please help (picture) 25 points

Mathematics

1 answer:

Monica [59]3 years ago

3 0

Answer:

1) perimeter = sum of all the sides = 3y+9+2y+4+y+3+2y+4 = 8y+20

2) P = 4(5x-2) = 20x-8

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what is the area, measured in square centimeters, of the triangle below? Do not include units in your answer

faltersainse [42]

3 x 4 = 12 or 4 x 3 = 12

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2 years ago

Read 2 more answers

The measure of one angle of a right triangle is 44º more than the measure of the smallest angle. Find the measures of all

nadezda [96]

Answer:

The sum of all angles of a triangle is equal to 180 degree.
Now since it is a right angle triangle one angle is 90 degree.
And the other one given is 44 degree.
So the 3rd angle is 180 minus 90 plus 44 so it is equal to 46 degree .

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3 years ago

Find the angles in the image

Rama09 [41]

Answer:

a) 36°, b) 36°, c) 72°

Step-by-step explanation:

<h3>Given:</h3>

PT║VW and SR is transversal
m∠PQR = 36°

a) m∠SQT
b) m∠QRW
c) m∠PRV

<h3>Solution</h3>

a) ∠SQT is vertical with ∠PQR and therefore has equal measure

m∠SQT = 36°

b) ∠QRW is corresponding angle with ∠SQT and therefore has equal measure

m∠QRW = 36°

c) m∠PRV = m∠PRQ as marked equal

m∠PRV +m∠PRQ + m∠QRW = 180° as straight angle
m∠PRV*2 = 180° - 36°
m∠PRV*2 =144°
m∠PRV = 144°/2
m∠PRV = 72°

8 0

3 years ago

<1 and <2 are supplementary

erik [133]

Answer:

x = 41

Step-by-step explanation:

$\because \angle 1 \:\&\: \angle 2 \: are \: supplementary\\\therefore \angle 1 + \angle 2= 180°\\\therefore 3x°+ (2x-25)°= 180°\\\therefore 5x°-25°= 180°\\\therefore 5x°= 180°+ 25°\\\therefore 5x°= 205°\\\therefore x = \frac{205}{5}\\\huge \purple{\boxed {\therefore x = 41}}$

3 0

3 years ago

A. Student study times. A class survey in a large class for first-year college students asked, "About how many hours do you stud

insens350 [35]

Answer:

A. 12.68 - 14.72 hours

B. Normal distribution.

Step-by-step explanation:

Part A

This question is using quantitative data. A 99% confidence interval means that you want to know the range where 99% of the population will be. To find this you have to convert the 99% CI into the z-score which is -2.58SD to + 2.58SD.

Note that the standard deviation(SD) is from the sample, not the population. We still need to find the standard deviation of the population. The formula is:

population SD = $\frac{o}{\sqrt[]{n} }$

Where the o= sample SD = 7.4

n= number of sample = 463

The calculation will be:

population SD = $\frac{o}{\sqrt[]{n} }$

population SD = $\frac{7.4}{\sqrt[]{463} }$ = 0.3951

The bottom limit will be:

Mean - SD * z-score= 13.7 - 0.3951*2.58 = 12.68 hours

The upper limit will be:

Mean + SD * z-score= 13.7 + 0.3951*2.58 =14.72 hours

The 99% CI range will be 12.68 - 14.72 hours

Part B

The table used to convert confidence interval into z-score depends on the distribution type of the data. Most data is classified as normal distributed, a data type that will concentrated at mean and spread equally from the mean. Normal distribution data will look like a bell which make it also called bell curve.

The question tells you that the data is normal distribution, but that doesn't mean every data is normally distributed. There are a lot of other data distribution type so we have to do some tests to know the normality of the data in real-life data.

4 0

3 years ago