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3 years ago

The following figure is not drawn to scale.

Mathematics

2 answers:

erik [133]3 years ago

7 0

Answer:

The triangle angle rule says that all of the angles in a triangle will add up to equal 180. So to find x we subtract the given angles ( 45 and 60 in this case) from 180.

x = 180-60-45

180-60-45=75

so x = 75

To find y we know that angle x and and y are angles formed on a straight line that are split up by a triangle segment. These angles are called supplementary angles which add up to equal 180.

So knowing that angle x = 75 we can find angle y by subtracting 75 from 180

180-75=105 so y = 105

Another way we could solve for y is the exterior triangle rule

This rule states that an exterior angle of a triangle is equal to the two opposite interior angles

so y = 45 + 65

45 + 65=105

so y = 105

Step-by-step explanation:

Salsk061 [2.6K]3 years ago

6 0

Answer:

The triangle angle rule says that all of the angles in a triangle will add up to equal 180. So to find x we subtract the given angles from 180.

x = 180-60-45

180-60-45=75

so x = 75

To find y we know that angle x and y are angles formed on a straight line that is split up by a triangle segment. These angles are called supplementary angles which add up to equal 180.

So knowing that angle x = 75 we can find angle y by subtracting 75 from 180

180-75=105 so y = 180

Another way we could solve for y is the exterior triangle rule

This rule states that an exterior angle of a triangle is equal to the two opposite interior angles

so y = 45 + 65

45 + 65=105 so y = 105

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Paige has 3 coats: a pink one, a red one, and a white one. She has a black scarf, a gray scarf and 1 set of white gloves. Determ

IRISSAK [1]

Hi there, again! Hopefully this helps, again!

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Since she has 3 coats, 2 scarfs, and 1 glove:

She has 6 ways to choose a coat, a scarf, and a glove(s).

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My 6 combinations:

1.) Red coat, black scarf, white glove(s).

2.) White coat, grey scarf, white glove(s).

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4.) Red coat, grey scarf, white glove(s).

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4 years ago

Read 2 more answers

How to simplify -8+5w=27

Sav [38]

Answer:

w=7

Step-by-step explanation:

1. -8+5w=27

2. add 8 to both sides: 8+-8+5w=27+8

3. Simplify: 5w=35

4. Divide both sides by 5: 5w/5=35/5

5. w=7

Hope This Helps :)

3 0

3 years ago

Read 2 more answers

Which of the following is the general solution of the differential equation dy dx equals the quotient of 4 times x and y?

katovenus [111]

The ODE appears to be

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x}y$

It's separable; we can write

$y\,\mathrm dy=4x\,\mathrm dx$

and integrating both sides yields

$\dfrac{y^2}2=2x^2+C$

$\implies y^2=4x^2+C$

7 0

3 years ago

g what is the 95% confidence interval a researcher wishes to compare the average amount of time spent in extracurricular

Serggg [28]

Complete question is;

A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in a suburban school district with that in a school district of a large city. The researcher obtained a simple random sample of 60 high school students in a large suburban school district and found the mean time spent in extracurricular activities per week to be six hours with a standard deviation of three hours. The researcher also obtained an independent simple random sample of 40 high school students in a large city school district and found the mean time spent in extracurricular activities per week to be four hours with a standard deviation of two hours. Let x¯1 and x¯2 represent the mean amount of time spent in extracurricular activities per week by the populations of all high school students in the suburban and city school districts, respectively. Assume two-sample t procedures are safe to use?

what is the 95% confidence interval a researcher wishes to compare the average amount of time spent in extracurricular?

Answer:

CI = (0.755, 3.245)

Step-by-step explanation:

For SRS of 60;

Mean: x1¯ = 6

Standard deviation: s1 = 3

For SRS of 40;

Mean: x2¯ = 4

Standard deviation; s2 = 2

Critical value for the confidence interval of 95% is: t = 1.96

Formula for the CI is;

CI = (x¯1 - x¯2) ± t√[(s1²/n1) + ((s2)²/n1)]

Plugging in the relevant values, we have:

CI = (6 - 4) ± 1.96√[(3²/60) + ((4)²/40)]

CI = 2 ± 1.96√[(3²/60) + ((4)²/40)]

CI = 2 ± 1.96√0.55

CI = 2 ± 1.245

CI = [(2 - 1.245), (2 + 1.245)]

CI = (0.755, 3.245)

5 0

3 years ago

Adam riese developed the signs + and - as mathematical operations what is the title of the work that introduced them?

Phoenix [80]

The title of the work introduced is Rechnung nach der lenge/auff den Linien und Feder.

<h3>What are mathematical operations?</h3>

In mathematics, an operation is a function that takes zero or more input values to a well-defined output value.

Adam Riese developed the signs + and - as mathematical operations and the title of the work introduced is Rechnung nach der lenge/auff den Linien und Feder.

Learn more about operations on:

brainly.com/question/20408113

#SPJ1

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3 years ago