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1 year ago

Please help me this is geometry

Mathematics

1 answer:

DaniilM [7]1 year ago

3 0

The measure of the angle 2 is 133° and the measure of the angle 3 is 47°.

<h3>Classification Angles</h3>

They are a lot of classifications for angles like: complementary angles, supplementary angles, right angles, and others. See below:

complementary angles - two angles whose the sum is equal to 90°.
supplementary angles - two angles whose the sum is equal to 180°.
right angles - angles whose the measure is 90°.

From the figure, it is possible to see that:

- the angles 1 and 3 are supplementary angles

- the angles 2 and 3 are supplementary angles

Therefore, if angle1 is 133°, you have:

angle_1 + angle_3 = 180

133 + angle_3 = 180

angle_3=180-133

angle_3=47°

If angle3 is 47°, you have:

angle_3 + angle_2 = 180

47+ angle_2 = 180

angle_2=180-47

angle_2=133°

Read more about supplementary angles here:

brainly.com/question/12919120

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Slope interspect form please define the graph coord to a form

klemol [59]

Slope of this line is 5/4
equation: y = 5/4x+5

4 0

3 years ago

Four times the sum of a number and 3 is the same as the sum of two times the number and 8. Find the number.

tino4ka555 [31]

Answer:

Step-by-step explanation:

4 (x + 3) = 2x + 8 <----"four times the sum of a number and three is equal to eight more than twice the number."

Second, we want to solve the equation:

4 (x + 3) = 2x + 8

4x + 12 = 2x + 8

2x + 12 = 8 <-------subtract 2x from both sides of the equation.

2x = -4 <-------subtract -12 from both sides

x = -2 <-------divide both sides by 2 which leaves a negative answer

Third, we want to check the answer by substituting the value of -2 for x in the original equation.

4 (x + 3) = 2x + 8

4 (-2 +3) = 2(-2) + 8

-8 + 12 = -4 + 8

4 = 4

4 (x + 3) = 2x + 8 <----"four times the sum of a number and three is equal to eight more than twice the number."

Second, we want to solve the equation:

4 (x + 3) = 2x + 8

4x + 12 = 2x + 8

2x + 12 = 8 <-------subtract 2x from both sides of the equation.

2x = -4 <-------subtract -12 from both sides

x = -2 <-------divide both sides by 2 which leaves a negative answer

Third, we want to check the answer by substituting the value of -2 for x in the original equation.

4 (x + 3) = 2x + 8

4 (-2 +3) = 2(-2) + 8

-8 + 12 = -4 + 8

4 = 4

8 0

3 years ago

Pls help fast i will mark brainlyiest

Leona [35]

The mean temperature of the orange juice is 5 °F <u>greater than</u> the mean temperature of the water

<h3>Calculating Average</h3>

From the question, we are to calculate how much greater the mean temperature of the orange juice is than the mean temperature of the water

From the given chart,

Mean temperature of orange juice = $\frac{59+65+72+78+85+81}{6}$

Mean temperature of orange juice = $\frac{440}{6}$

Mean temperature of orange juice = 73.33 °F

Mean temperature of water = $\frac{55+62+68+71+79+75}{6}$

Mean temperature of water = $\frac{410}{6}$

Mean temperature of water = 68.33 °F

Difference in temperature = 73.33 °F - 68.33 °F

Difference in temperature = 5 °F

Hence, the mean temperature of the orange juice is 5 °F <u>greater than</u> the mean temperature of the water

Learn more on Calculating average here: brainly.com/question/17102414

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5 0

2 years ago

Suppose that you construct a 95% confidence interval for the population mean, using some sample values, and you obtain the range

mel-nik [20]

Answer:

Step-by-step explanation:

Hello!

You have the 95% CI for the mean [50; 70]

The amplitude for this interval is a= 20 and its margin of error is d= 10.

If the interval was constructed as X[bar] ± margin of error

Where the margin of error is the product of the statistic value due to the standard deviation of the distribution.

If you reduce the confidence level, the value of the statistic will be also reduced, so you would expect a shorter margin of error and amplitude for the 90% CI

Symbolically: d= $Z_{1-\alpha/2}$ * (δ/√n) ⇒ d↓= $Z_{1-\alpha/2}$ ↓ * (δ/√n) if d↓ ⇒ a↓

50 to 100 has an a= 50 and d= 25

70 to 90 has an a= 20 and d= 10

60 to 80 has an a= 20 and d= 10

55 to 95 has an a= 40 and d= 20

65 to 85 has an a=20 and d= 10

None of the given intervals corresponds to a 90% interval for the same sample as the first interval 50 to 70.

Another detail to keep in mind is that the intervals for the population mean are centered in the sample mean. From the first interval you can deduce that it is centered in X[bar]= 60 (Upper bond - margin of error = sample mean), if the other intervals were constructed with the same sample values, they should all be centered in 60.

I hope you have a SUPER day!

7 0

4 years ago

Kamal got married 5 years ago. Today his age is 1 1/4 times his age at the time of marriage. His sons age is 1/10 times his pres

mojhsa [17]

Answer:Son's age =2.5 years old

Step-by-step explanation:

Step 1

Let the age of Kamla at marriage be represented as x

Age after five years = x+5

Given that today his age is 1 1/4 times his age at marriage, Our equation to express his age at marriage will be

x+ 5= (5/4)x

Multiplying 4 by both sides gives

4(x+5) = (5/4 x 4 )x

4x+20 = 5x

20=5x-4x

x= 20 years at Marriage

Therefore his present age = 20+5= 25

Step 2

Son' s age = 1/10 times his present age

Son's age = 1/10 x 25= 2.5 years old

5 0

3 years ago