Shown below are parallel lines n and p which are cut by transversals r and s which are perpendicular to each
other. Which of the following is the measure of 21?
(1) 51
(2) 64
(3) 72
(4) 102

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Shown Below Are Parallel Lines N And P Which Are Cut By Transversals R And S Which Are Perpendicular

Answers

Answer 1
It will be 3. 72 is your answer
Answer 2

Given the diagram given where lines n and p are parallel, and transversals r and s are perpendicular, the measure of angle 1 is: [tex]\mathbf{1) 51^{\circ}}[/tex]

The angle measure where two perpendicular lines intersect each other equals 90 degrees.

Therefore, the angle formed as shown in the figure attached, where transversals r and s meet = 90 degrees.

Since lines n and p are parallel lines, therefore:

[tex]m \angle 1 + 90 = 141[/tex] (alternate interior angles are equal)

Subtract 90 from each side

[tex]m \angle 1 = 141 - 90\\\\\mathbf{m \angle 1 = 51^{\circ}}[/tex]

Therefore, given the diagram given where lines n and p are parallel, and transversals r and s are perpendicular, the measure of angle 1 is: [tex]\mathbf{1) 51^{\circ}}[/tex]

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Shown Below Are Parallel Lines N And P Which Are Cut By Transversals R And S Which Are Perpendicular

Related Questions

Work out the size of x

Answers

Answer:

They are supplementary angles so they add up to make 180°

So you do the reverse

180°-100°=x

80°=x

Step-by-step explanation:

Please give me brainliest

8. Given: GI +JL, GH = KL
Prove: HI~=JK

Answers

is there supposed to be a diagram with this?

Answer: the length of GH is half the length of KL

Step-by-step explanation: edge 2021

Marissa knits caps that she supplies to several baby stores. She purchases five bundles of yarn for $62.50. Select the
quantities that would best help determine how many bundles of yarn she will need per month to knit caps.
ОА. .
amount of yarn needed for each cap and number of caps knitted in a month
OB. cost to produce each cap and price per bundle of yarn
OC. number of caps knitted in a month and cost to ship the caps to each store
OD. price per bundle of yarn and amount of yarn needed for each cap

Answers

Answer:

I think OA because you would need to know how much yarn for each cap and how many caps she will make

Find a polynomial function with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5

Answers

Given:

Zero: 2, multiplicity: 3

Zero: 0, multiplicity: 2

Degree: 5

Leading coefficient = 1

To find:

The polynomial function.

Solution:

The general form of a polynomial is

[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]

where, a is a constant, [tex]c_1,c_2,...,c_n[/tex] are zeroes with multiplicity [tex]m_1,m_2,...,m_n[/tex].

Using the given information and the general form of a polynomial, we get

[tex]P(x)=a(x-2)^{3}(x-0)^{2}[/tex]

[tex]P(x)=ax^2(x^3-6x^2+12x-8)[/tex]

[tex]P(x)=a(x^5-6x^4+12x^3-8x^2)[/tex]

Leading coefficient is 1, so the value of a is also 1.

[tex]P(x)=1(x^5-6x^4+12x^3-8x^2)[/tex]

[tex]P(x)=x^5-6x^4+12x^3-8x^2[/tex]

Therefore, the required polynomial is [tex]P(x)=x^5-6x^4+12x^3-8x^2[/tex].

The polynomial for the conditions with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5 is given as

[tex]\rm\bold{ y(x) = 1\times (x-2)^3(x-0)^2 }[/tex]

According to the given condition

The given conditions to write the polynomial equations are as follows

Zero 2  and Multiplicity 3

Zero 0 and Multiplicity 2  

Degree of polynomial expression  = 5

Leading coefficient of polynomial expression = 1

Let us consider the polynomial equation has only one variable and hence in general form we can write the equation of polynomial as follows

[tex]\rm y (x) = a(x-\alpha)^m (x-\beta)^n........(1)\\Where \\a = Leading \; coefficient\; of\; polynomial\; expression \\\alpha ,\beta = Roots \; of \; the\; polynomial\; expression\\m\; and \; n \; are \; multiplicities \; of \; the \; roots \; \alpha,\beta \; respectively\\Degree = m+n[/tex]

From the general form of polynomial expression as shown in equation (1) we can write

Polynomial expression for the given  conditions is formulated in equation (2)

[tex]\rm y(x) = 1\times (x-2)^3(x-0)^2 .......(2)[/tex]

So the polynomial for the conditions given in question is expressed as

[tex]\rm\bold{ y(x) = 1\times (x-2)^3(x-0)^2 }[/tex]

For more information please refer to the link given below

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Solve the system below:
10x + y = 22
2x + x = -2

Answers

Answer:

x=negative 2/3,y= positive 86/3

Step-by-step explanation:

Can someone help me please

Answers

The point at top will be -3,9
The point to the left will be -2,6
The point at the bottom will be 2,2
The point to the right will be 1,5

Please help
Please help please

Answers

dbhzhxgushshebnxjxjkxdhxhdh bdbdhxjdnbdbdb

Ricky bought a jacket for $52.00. If the sales tax is 9.5%, how much did he pay in total?

A.$4.94

B.$61.50

C.$49.40

D.$56.94

Answers

Answer:

D. $56.94

Step-by-step explanation:

52 * 0.095 = 4.94

Add $52 + $4.94

Please help!! I'll give brainlist!

Answers

Answer:

-3/5

Step-by-step explanation:

-2/5+-1/5= -3/5

I used a calculator to ensure this answer was correct

Answer: A) -3/5
This is because -2 pulse -1 is -3. And you can’t add the denominator if it’s the same. In this case the denominators are the same so u keep it as 5. So the answer would be A

A tv costs £800 plus VAT at 20%.
What is the total cost of the TV?​

Answers

Answer:

Step-by-step explanation:

800+20%

20%= (20/100)

800/100=8*20=160

add to original price= 800+160=960

Why are they parallel?

Answers

Answer:

a and d are parallel

Step-by-step explanation:

This is the problem ......

Answers

Answer:

4/18

Step-by-step explanation:

Math question plz help me

Answers

Answer:

The required equation of the line is:

[tex]y=\frac{1}{4}x-1[/tex]

Step-by-step explanation:

Given the equation

[tex]y=-4x+3[/tex]

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

m is the slope y is the intercept

so the slope of the line is  -4.

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: 1/4

Therefore, the point-slope form of the equation of the perpendicular line that also intersects the point (8, 1) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-1=\frac{1}{4}\left(x-8\right)[/tex]

add 1 to both sides

[tex]y-1+1=\frac{1}{4}\left(x-8\right)+1[/tex]

[tex]y=\frac{1}{4}x-1[/tex]

Sushil was thinking of a number. Sushil divides by 7, then adds 12 to get an answer of 10. What was the original number?

Answers

Answer:

x=-14

Step-by-step explanation:

think the number is x

According to the question

x/7+12=10

=>x+84=70 (multiply both side by 7)

=>x=70-84

x=-14

Solve for 3a:
a + 4 = 4a + 2
3a

Answers

Answer:

x = 2/3

2/3*3 = 2

Step-by-step explanation:

What is the prime factorization of 144? Be sure to show your strategy.

Answers

Answer:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. Prime factorization: 144 = 2 x 2 x 2 x 2 x 3 x 3, which can also be written 144 = (2^4) x (3^2)

Step-by-step explanation:

tell whether this sequence is arithmatic. If it is, what is the common difference. 10, 15, 21, 28

Answers

Answer:

No this is not arithmetic this is geometric

Step-by-step explanation:

10 to 15 is a increase of 5

15 to 21 is a increase of 6

21 to 28 is a increase of 7 arithmetic have to have steady increases

Answer:

Hola!

Step-by-step explanation:

HELP PLZZ ITS DUE TODAY I WILL MARK BRAINEST

Answers

i plotted the points in this photo. hope it helps :)

PLEASE HELP WITH THE PIC

Answers

D? Tell me if you got it right

The gas tank holds a total of 15 gallons of gas.how many miles can the car travel with a full tank of gas

Answers

Answer:

....

Step-by-step explanation:

Answer:

If the car gets 30 in city miles per gallon it (MPG) would be 30×15 which would be 450 miles. If its a sportier car like the Chevrolet Camaro ZL1 which gets close to 18 miles per gallon (MPG) it would be 18×15 which would be 270 miles. There is also highway miles where a standard car would get about 40 or more miles per gallon (MPG) 40×15 which would be 600 Miles. For a car like the Toyota Prius which gets 50-58 miles per gallon (MPG) in a city but 48-53 miles per gallon 58×15=870 miles and 53×15=795 miles. It depends on the car's engine, tuning, transmission, aerodynamics, etc.

Step-by-step explanation:

Different cars get different miles per gallon (MPG).

please find the value of x!

Answers

Answer:

the equation would be 9x+1=30

Find the value y from the given figure

Answers

Answer:y=28

Step-by-step explanation:

40+3y+2y=180

Subtract 40

3y+2y=140

Combine like terms

5y=140

Divide

y=28

what is a domain in math?

Answers

Answer:

"In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall."

Step-by-step explanation:

I need help pls !!!!!

Answers

D is 77 and f is 55 yeah I don’t have an explanation

Help me due in 5 minutes HELP ASAP

Answers

Answer:

J.

Step-by-step explanation:

It crosses through (0,0) and has a slope of 2.5 or rather 5/2 because when the x value is at 4 the y value is at 10 that simplifies to 5/2 or 2.5.

three more than the quotient of a number and 7 is at most 92. Find the number

Answers

Answer:

The number is 623.

Step-by-step explanation:

[tex]\frac{x}{7}+3 =92\\\frac{x}{7} =89\\x=623[/tex]

What is 3/4 raised to the power of 3

Answers

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[tex] ( { \frac{3}{4} })^{3} = \frac{ {3}^{3} }{ {4}^{3} } = \frac{27}{64} \\ [/tex]

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What is the percent of change from 70 to 14?

Answers

Answer:

80%

Step-by-step explanation:

70-14=56

56/70=80%

Which line below is parallel to the line that y = 1/2x - 2?
A) y = 1/2x + 2
B) y = -1/2x + 2
C) y = 1/2 - 2x
D) y= 1/2 + 2x

Answers

Answer:

The answer is b

Step-by-step explanation:

Bc it is just basicly the x and y axis

i need the answers asap :) please actually answer! i give lots of points :)

Answers

Answer:

I say 65 hours hope it helps

Step-by-step explanation:

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