MATHEMATICS HIGH SCHOOL

Find the values of x and y.

Answers

Answer 1

Answer:

Angles in a triangle may or may not be congruent.

The values of x and y are 90 and 47, respectively.

From the figure, we have:

$\mathbf{AD \perp BC}$

This means that, angle x is a right-angle.

So, we have:

$\mathbf{x = 90}$

Triangle ABC is an isosceles triangle.

So, we have:

$\mathbf{\angle B = \angle C = 47}$

The measure of y is then calculated as:

$\mathbf{y + \angle B + x = 180}$ --- sum of angles in a triangle

This gives

$\mathbf{y + 47 + 90 = 180}$

$\mathbf{y + 137 = 180}$

Subtract 137 from both sides

$\mathbf{137 = 43}$

Hence, the values of x and y are 90 and 47, respectively.

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Of the following factors of 28, put a check beside each prime factor

Answers

Answer:

The prime factors of 28 are 2 and 7.

Step-by-step explanation:

Factors are numbers that are multiplied together to produce another number. example factors of 36 = 1, 2, 3, 4, 6, 9, 12, 36.

Prime numbers are numbers greater than 1 whose only factors are 1 and itself. example 2, 3, 5, 7, etc.

We have to find the prime factors of 28.

First we find the factors of 28 and then we pick up the prime factors.

Factors of 28 are 1, 2, 4, 7, 14, 28

Out of above factors only 2 and 7 are prime numbers

Thus, the prime factors of 28 are 2 and 7.

The factors of 28 are 1, 2, 4, 7, 14, 28.
The prime ones are 2 and 7.

HELP me with These questions

Answers

Answer: 13.96 in²

Step-by-step explanation:

radius (r)

d = 2r

16 = 2r

8 = r

angle in radians (θ)

$(180)/(\pi) =(25)/(\theta)$

180(θ) = 25(π)

θ = $(25)/(180)\pi$

θ = $(5)/(36)\pi$

Area (A)

A = $(1)/(2)$ r² θ

= $(1)/(2)(8)^(2)((5)/(36)\pi)$

= $(40)/(9)\pi$

= 13.96

*************************************************************************

Answer: 12π

Step-by-step explanation:

s = rθ

= 60 $((\pi )/(5))$

= 12π

*************************************************************************

Answer: 22.440 cm²

Step-by-step explanation:

A = $(1)/(2)$ r²θ

= $(1)/(2)$ (10)² $(\frac{\pi} {7})$

= $(50)/(7)\pi$

= 22.440

*************************************************************************

Answer: 270°, 630°, -450°, -810°

Step-by-step explanation:

positive: -90 + 360 = 270

270 + 360 = 630

negative: -90 - 360 = -450

-450 - 360 = -810

*************************************************************************

Answer: $\frac{3\pi} {4}$

Step-by-step explanation:

$\frac{19\pi} {4} - 2\pi$

= $\frac{19\pi} {4} - \frac{8\pi} {4}$

= $\frac{11\pi} {4}$

$(11\pi)/(4) - 2\pi$

= $\frac{11\pi} {4} - \frac{8\pi} {4}$

= $\frac{3\pi} {4}$

If you subtract another 2π, you will end up with a negative value. The question asks for the smallest positive value.

All businesses can discriminate against workers based on _____.a.

Nation of origin

b.

Immigration status

c.

Mental disability

d.

Age

Answers

Answer:

It is actually D) Age

Step-by-step explanation:

Because A) B) and C) can both be brought to court and the company or business will always lose, because those are all major discriminates that the court will favor the plaintiff but age is a total viable way to discriminate against a person.

And I took it on a test too.

All businesses can discriminate against workers based on C. mental disability. Businesses hire employees and make sure the employee passes the medical test. Although it is not truly rightful to judge an applicant on any grounds, businesses still make sure that the people working are receiving right attention.

A ____ is a pair of equal ratios.

Answers

A proportion is a pair of equal ratios.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

A proportion is a pair of equal ratios.

A proportion is an equation in which two ratios are set equal to each other.

Equivalent ratios are the ratios that are the same when we compare them

A proportion is a numerical correlation between two numbers. Frequently, these numbers can speak to an examination of things or individuals.

For instance, say you strolled into a room brimming with individuals.

Hence, a proportion is a pair of equal ratios.

To learn more on Ratios click:

brainly.com/question/1504221

#SPJ2

A Equivalent Ratio Is A Pair Of Equal Ratios.

There is a pile of rocks. When 4.6 tons are removed, theremaining amount of rocks is 4.9 tons more than the amount
of removed rocks. How many tons of rock was there
originally?
___tons

Answers

Answer:

9.5

Step-by-step explanation:

4.6+4.9= 9.5

what is the rate of change for the linear relationship modeled in the table? x y −1 10 1 9 3 8 5 7 -1/2 0 1/2 2

Answers

Answer:

Rate of change for the linear relationship modeled is $(-1)/(2)$

Step-by-step explanation:

As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.

We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,

$m=(y_2-y_1)/(x_2-x_1)$

Putting the points as (-1, 10) and (1, 9), we get

$m=(9-10)/(1-(-1))$

$=(9-10)/(1+1)$

$=(-1)/(2)$

Rate of change is the slope of the line joining all these points.

(-1,10)(1,9)
slope = (9 - 10) / (1 - (-1)
slope = -1/2 <=== slope is also ur rate of change

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