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
will give brainliest asap!
Answers
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]
Learn more here:
https://brainly.com/question/19191529
Related Questions
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
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
What is 3/4 raised to the power of 3
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] ( { \frac{3}{4} })^{3} = \frac{ {3}^{3} }{ {4}^{3} } = \frac{27}{64} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
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:
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
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
I need help pls !!!!!
Answers
Why are they parallel?
Answers
Answer:
a and d are parallel
Step-by-step explanation:
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
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 interceptso 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]
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
https://brainly.com/question/15301188
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:
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
Can someone help me please
Answers
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
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:
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]
Please help
Please help please
Answers
dbhzhxgushshebnxjxjkxdhxhdh bdbdhxjdnbdbdb
PLEASE HELP WITH THE PIC
Answers
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
Solve for 3a:
a + 4 = 4a + 2
3a
Answers
Answer:
x = 2/3
2/3*3 = 2
Step-by-step explanation:
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
This is the problem ......
Answers
Answer:
4/18
Step-by-step explanation:
HELP PLZZ ITS DUE TODAY I WILL MARK BRAINEST
Answers
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).
8. Given: GI +JL, GH = KL
Prove: HI~=JK
Answers
Answer: the length of GH is half the length of KL
Step-by-step explanation: edge 2021
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:
Solve the system below:
10x + y = 22
2x + x = -2
Answers
Answer:
x=negative 2/3,y= positive 86/3
Step-by-step 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.
What is the percent of change from 70 to 14?
Answers
Answer:
80%
Step-by-step explanation:
70-14=56
56/70=80%
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