p is a transversal to lines a and b. One pair of co interior angles is ( 54ᵒ, 126ᵒ). Are the lines a and b parallel?

Answers

Answer 1

Answer:

Lines a and b are parallel.

Because when 54 is added to 126, the answer is 180.

(SAME SIDE INTERIOR THEOREM)


Related Questions

Last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days. Each day they found 9 shells. How many fewer shells did they find this year than last year?

Answers

Answer:

Step-by-step explanation:

Since on each day 9 shells were found, and there are 7 days: 7 x 9 = 63

Number of shells found this summer: 63

Number of shells found fewer this year than last year: 152 - 63 = 89

Hence, Jon’s family found 63 fewer shells than last year

Jon’s family found 63 fewer shells than last year if last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.

Let x be the number of shells they find this year than last year.

The value of x can be found as follows:

x = 152 - 7×9

x = 152 - 63

x = 89 shells

Thus, Jon’s family found 63 fewer shells than last year if last summer, Jon’s family found 152 shells at the beach. This summer they were at the beach for 7 days.

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rationalise the denominator of (6+root3)(6-root3) over root33

Answers

Answer:

√33

Step-by-step explanation:

In the image .

The expression (6 + √3) (6 - √3) / √33 upon  rationalizing the denominator gives √33.

What is Square Root?

Square root of a number is the value such that upon multiplying the value by itself twice gives the original number.

The given expression is (6 + √3) (6 - √3) / √33

We have the identity,

(a + b) (a - b) = a² - b²

∴ (6 + √3) (6 - √3) / 33 = 6² - (√3)² / √33

                                     = (36 - 3) / √33

                                     = 33 /√33

Multiplying numerator and denominator by √33,

(6 + √3) (6 - √3) / 33 = (33 × √33)  / (√33 × √33)

                                   = 33√33 / 33

                                   = √33

Hence upon rationalizing the denominator in the expression (6 + √3) (6 - √3) / 33 yields √33.

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Write as an exponent with the base of b:
[tex](b^{n})^{4}[/tex]

Answers

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[tex] {b}^{n \times 4} = {b}^{4n} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Subtract 7b(2a 2 +5a-7) from (7a 2 -a+3 )-3b(6a 2 -b+3)

Answers

Answer:

[tex]\huge\boxed{-32a^2b+7a^2+3b^2-35ab-a+40b+3}[/tex]

Step-by-step explanation:

[tex]7b(2a^2+5a-7)\qquad|\text{use the distributive property}\\\\=(7b)(2a^2)+(7b)(5a)+(7b)(-7)=14a^2b+35ab-49b\\\\\\(7a^2-a+3)-3b(6a^2-b+3)\qquad|\text{use the distributive property}\\\\=7a^2-a+3+(-3b)(6a^2)+(-3b)(-b)+(-3b)(3)\\\\=7a^2-a+3-18a^2b+3b^2-9b[/tex]

Substraction

[tex](7a^2-a+3-18a^2b+3b^2-9b)-(14a^2b+35ab-49b)\\\\=7a^2-a+3-18a^2b+3b^2-9b-14a^2b-35ab+49b\\\\\text{combine like terms}\\\\=(-18a^2b-14a^2b)+7a^2+3b^2-35ab-a+(-9b+49b)+3\\\\=-32a^2b+7a^2+3b^2-35ab-a+40b+3[/tex]


Dan has £100. Colin takes £. How much is left

Answers

Answer:

Maybe 99£

Step-by-step explanation:

Please give me brainliest

Answer:

i think 99 because theres no number after the symbol

Step-by-step explanation:

Is 12 even or odd? Pick you choice

Answers

Answer:

Even

Step-by-step explanation:

True or false, f(x) is a function

Answers

Answer:

Step-by-step explanation:

True!!

The answer is true...

Is this true or false? Ill give brainliest

Answers

i think true because 0,4 on there is correct and so is 2,0

PLEASE HELP 20 POINTS...PLEASE HELP

Answers

Answer: the slope of this line is 2/3

Step-by-step explanation:

If you use rise/run, you will find that rise=2 and run=3, so the slope 2/3.

Answer: -2/3

rises by 2 and runs by 3

using points (0,2) and (-3,3)

I hope this is good enough:

help, please for 20 points

Answers

9514 1404 393

Answer:

  salt, super clean, pepper, washing powder

  44oz drink, popcorn, 32oz drink

Step-by-step explanation:

The number of ounces can be found by dividing the price by the price per ounce:

  3.60/(0.30/oz) = 12 oz . . . salt

  8.80/(0.11/oz) = 80 oz . . . super clean

  6.72/(0.42/oz) = 16 oz . . . pepper

  7.80/(0.13/oz) = 60 oz . . . washing powder

__

  3.52/(0.08/oz) = 44 oz . . . 44oz drink

  9.00/(0.18/oz) = 50 oz . . . popcorn

  1.92/(0.06/oz) = 32 oz . . . 32oz drink

cal d gradient B(4,-7), c(-6-5) and d two point find d gradient​

Answers

Answer:

d = - 1/5

Step-by-step explanation:

slope form: m= y2-y1/x2-x1

m= -5-(-7)/-6-4

m= 2/-10

m= - 1/5

The ratio of boys to girls in a class is 5:3. There are 32 students in the class. How many students are boys?

Answers

Answer:

5x+3x=8x

8x = 32

x=32/8 = 4

boys are 4 x 5 = 20

girls are 4 x 3 = 12

Step-by-step explanation:

Add the ratios together: 5 + 3 = 8

Divide total students by 8:

32 / 8 = 4

Multiply each ratio by 4 to find the number of each:

Boys = 4 x 5 = 20

Girls = 3 x 4 = 12

There are 20 boys.

1. A relation contains the ordered pairs shown. One of the ordered pairs is missing an x-coordinate. {(-1,4),(0,4),(2,5),(3,-6),(?,7)} What could be the missing x-coordinate if the relation is not a function?

Answers

Answer:

There are 4 possible scenarios where given relation could not be a function:

i)  [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]

ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]

iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]

iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]

Step-by-step explanation:

From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:

i)  [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]

ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]

iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]

iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]

Which expression is equivalent to StartFraction negative 18 a Superscript negative 2 Baseline b Superscript 5 Baseline Over Negative 12 a Superscript negative 4 Baseline b Superscript negative 6 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
A. StartFraction 2 a squared b Superscript 11 Baseline Over 3 EndFraction
B. StartFraction 2 a squared b Superscript 30 Baseline Over 3 EndFraction
C. StartFraction 3 a squared b Superscript 11 Baseline Over 2 EndFraction
D. StartFraction 3 a squared b Superscript 30 Baseline Over 2 EndFraction

Answers

Answer:

B

Step-by-step explanation:

I just took the test

Answer:

A.

Step-by-step explanation:

John is 1.6 m tall. robbin is 156 cm tall what is the ratio of johns' height to robbins height?

Answers

Answer:

johnns height 4cm to Robin's height

The ratio of John's height to Robin's height is 20:19.

To find the ratio of John's height to Robin's height, we need to convert their heights to the same unit of measurement. Let's convert Robin's height from centimeters to meters:

Robin's height = 156 cm = 156/100 m = 1.56 m

Now that both heights are in meters, we can calculate the ratio:

John's height: Robin's height = 1.6 m : 1.56 m

To simplify the ratio, we can divide both heights by the same value:

1.6 m : 1.56 m = (1.6/0.08) m : (1.56/0.08) m = 20 : 19

Therefore, the ratio of John's height to Robin's height is 20:19.

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Mariana drinks 2 pints of milk each day. How many days does it take her to drink 1 gallon of milk?

Answers

Answer:

4 days

Step-by-step explanation:

because Mariana drank 2 pints a day 8 pints are in a gallon so 8 ÷ 2 = 4

The height in feet of a squirrel running up and down a tree is a function of time in seconds. Here are statements describing the squirrels movement during four intervals of time Match each description with a statement about the average rate of change of the function for that interval. The squirrel runs up the tree

Answers

Answer:

answer choices?

Step-by-step explanation:

The perimeter of a football field is 920 feet. The width is 60 feet more than one-third of the length. What are the dimensions of a football field?

Answers

Given:

Perimeter of a football field = 920 feet.

The width is 60 feet more than one-third of the length.

To find:

The dimensions of a football field.

Solution:

Let the length of the field be x.

Then, width = [tex]\dfrac{1}{3}x+60[/tex]

We know that,

[tex]Perimeter = 2( length + width)[/tex]

[tex]920 = 2(x+\dfrac{1}{3}x+60)[/tex]

[tex]920 = 2(\dfrac{4}{3}x+60)[/tex]

[tex]920 =\dfrac{8}{3}x+120[/tex]

Subtract both sides by 120.

[tex]920-120 =\dfrac{8}{3}x+120-120[/tex]

[tex]800 =\dfrac{8}{3}x[/tex]

Multiply both sides by 3.

[tex]2400 =8x[/tex]

Divide both sides by 8.

[tex]300 =x[/tex]

Now,

[tex]Length = 300\text{ feet}[/tex]

[tex]Width=\dfrac{1}{3}(300)+60[/tex]

[tex]Width=100+60[/tex]

[tex]Width=160\text{ feet}[/tex]

Therefore, the length and width of the football field are 300 feet and 160 feet respectively.

Giving brainiest explain answer

Answers

Answer:

A.) -5

Step-by-step explanation:

Slope Formula --->     [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]       m = slope

[tex]m = \frac{2 - (-3)}{-2 - (-1)}[/tex]

Eliminate negatives:

[tex]m = \frac{2 + 3}{ -2 + 1}[/tex]

Solve:

[tex]m = \frac{5}{-1}[/tex]

Simplify:

[tex]m = -5[/tex]

Central City High's basketball team will be entering the playoffs at the end of their regular season. There will be 3 other teams in the playoffs, with season average scores of 87, 92, and 119. Central City High has played 7 games with an average score of 91. What score range could they have in their eighth and last regular season game to have the second highest season average score in the tournament?

Answers

Answer:

99<x<315

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

edg. 2021

—16t^2 + 64t + 3
Please help as soon as possible 33 points if you do it!!

Answers

Answer:

51t^3

Step-by-step explanation:

64+3=67

67 +(-16)=51

t^2 +t= t^3

now you just add them up but they cant be combined because one is a number and the other a variable w an exponent so we just get 51t^3

If you’re simplifying it’s 64t-253 and if your factoring it’s the same thing as well

2b+ 9r use b=2 and r=7

Answers

Answer:

67

Step-by-step explanation:

2b+9r

2(2)+9(7)

4+63

67

Answer:

67

Step-by-step explanation:

2(2)+9(7)

4+63=67

Have a great day

brainliest for right answer
Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4,6), and D(2,2). If it is
reflected over the x-axis, what are the coordinates of C'? (Answer as an ordered
pair without spaces)

Answers

Answer:

C' (4,-6)

Step-by-step explanation:

Any point being reflected over the x-axis will undergo the following transformation:

(x, y) --> (x, -y)

(4, 6) --> (4, -6)

The coordinates of C',

C(4,6) → C'(4, -6).

What is a reflection?

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

Given:

Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4,6), and D(2,2).

If it is reflected over the x-axis,

The reflection rule:

(x, y) → (x, -y)

The coordinates of C',

C(4,6) → C'(4, -6).

Therefore, the image point of C is C'(4, -6).

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help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

(1, 7) (2, 10) (3, 5) (4, 7) (5, 9) hope that helps

2. 5 3. day 2
please rate :) hope this helps

A carpet cleaning company will clean an apartment for $71.00. Jim has a coupon for 20% off the total price.
How much money will Jim save if he uses the coupon?

Answers

Answer:

Step-by-step explanation:

Jim will save $14.20

To calculate this we use multiplication, multiply $71.00 with 20% which in decimal form

Comes to .20.

The end result is $14.20.

Step-by-step explanation:

Angle M and angle R form a supplementary angle.
The measure of Angle R is 40+2x.
The measure of angle M is 13x.
What is the value of x

Answers

Answer:

[tex]x = 9.33(appx)[/tex]

Step-by-step explanation:

If two angles form an supplementary angle, their sum will be 180°.

In the question , angleM & angleR form a supplementary angle.

[tex] = > 13x + 40 + 2x = 180[/tex]

[tex] = > 15x + 40 = 180[/tex]

[tex] = > 15x = 180 - 40 = 140[/tex]

[tex] = > x = \frac{140}{15} = 9.33(appx)[/tex]

3x + 12 – 6x ≤ -9 Solve, graph, and express the following inequalities in interval notation.

Answers

Interval notation/solve : [7,♾]
Graph :

The solution of inequality 3x + 12 – 6x ≤ –9 will be greater than or equal to 7.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

3x + 12 – 6x ≤ –9

Simplify the equation, then the value of 'x' is calculated as,

3x + 12 – 6x ≤ –9

6x – 3x ≥ 12 + 9

3x ≥ 21

x ≥ 21 / 3

x ≥ 7

The solution of inequality 3x + 12 – 6x ≤ –9 will be greater than or equal to 7.

The solution is shown on the number line.

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The percentage of sprouted seeds for a single crop can be modeled by a logistic function that is represented by y=100/1+99e^-0.89x. Which statements about the scenario are true? Check all that apply.

Answers

Answer:

A, B, and C

Step-by-step explanation:

Please help with the attatched!

Answers

Answer: a + b = 40

[tex](3+\sqrt{5})(7-6\sqrt{5})=3.7+7\sqrt{5}-3.6\sqrt{5}-6\sqrt{5}.\sqrt{5}\\\\=21+6.5-11\sqrt{5}\\\\=51-11\sqrt{5}[/tex]

because [tex](3+\sqrt{5})(7-6\sqrt{5})=a+b\sqrt{5}[/tex]

=> a = 51

    b = -11

=> a + b = 51 -11 =40

Step-by-step explanation:

Answer:

[tex]a = -9 - 11\sqrt{5} - \sqrt{5}b[/tex]

a = 51

b= -11

what must be considered in transplanting verbal phrases to mathematical phrases???

Answers

Answer:

addition, subtraction, division, multiply

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