A transversal crosses a pair of parallel lines to create a pair of same-side interior angles with the measurements of x° and (x−52)°. What is the value of x?

Answers

Answer 1

Answer:

x=116°

Step-by-step explanation:

If a transversal crosses a pair of parallel lines to create a pair of same-side interior angles with the measurements of x° and (x−52)°, then the sum of those angles is equal to 180°.

ATQ,

x°+(x-52)°=180°

2x=180°+52

⇒2x=232

⇒x=116°

So, the value of x is 116°


Related Questions

Your eccentric Aunt Isabella sends money to each niece and nephew on his or


her birthday, She gives each child $10 on his or her first birthday. On each


birthday thereafter, you and your cousins get $20 more than on the birthday


before. How old will you be when you have received a total of $4,000 from


Aunt Isabella?


How old will you be when you have Received a total Of $4000 from aunt Isabell?

Answers

Answer:

20 years old

Step-by-step explanation:

Given

Base Amount = $10

Additional Amount = $20

Required

Determine the number of years where the total will accumulate to $4000

This question represents Sum of an AP series.

[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]

Such that:

[tex]S_n = 4000[/tex]

[tex]a = 10[/tex]

[tex]d = 20[/tex]

Substitute these values in the above formula:

[tex]4000 = \frac{n}{2}(2 * 10 + (n - 1) * 20)[/tex]

[tex]4000 = \frac{n}{2}(20 + 20n - 20)[/tex]

[tex]4000 = \frac{n}{2}(20n)[/tex]

[tex]4000 = \frac{20n^2}{2}[/tex]

[tex]4000 = 10n^2[/tex]

Divide through by 10

[tex]400 = n^2[/tex]

Take square root of both sides

[tex]20 = n[/tex]

[tex]n = 20[/tex]

please answer fast!!!
Which of the following sets represents the range of the function shown?
{(-3, 4), (5, 11), (9, -1), (10, 13)}

{-3, 5, 9, 10)
{-1, 4, 11, 13}
{(4, -3), (11, 5), (-1,9), (13, 10)}
{-3,-1, 4, 5, 9, 10, 11, 13}

Answers

Answer:

{-3,-1, 4, 5, 9, 10, 11, 13}

Step-by-step explanation:

what is the missing value​

Answers

Answer:

Plug in what you are given for y then solve for x:

[tex]-2 + 2 = -3(x - 4)\\\\0 = -3(x - 4)\\\\0 = -3x + 12\\\\-12 = -3x\\\\4 = x[/tex]

The missing value would be 4.

Evaluate each of the following expressions if x=5, y=6, z=-6

X+3y+z=____
(x-12)+3(y+z)=____
100x+yz=___

Answers

1x3 is 3 thats quick maths

An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 3 1 3 yards of paper for one box and 5 6 yard of paper for the other box. The paper must be cut into pieces that are 1 6 yard long. How many pieces will the student cut to use for the gift boxes?

Answers

Answer:

25 pieces

Step-by-step explanation:

Given

[tex]Box_1 = 3\frac{1}{3}[/tex]

[tex]Box_2 = \frac{5}{6}[/tex]

[tex]Pieces = \frac{1}{6}[/tex] yard

Required

Determine the number of pieces

First, we need to determine the total yards of paper

[tex]Total = Box_1 + Box_2[/tex]

[tex]Total = 3\frac{1}{3} + \frac{5}{6}[/tex]

[tex]Total = \frac{10}{3} + \frac{5}{6}[/tex]

[tex]Total = \frac{20 + 5}{6}[/tex]

[tex]Total = \frac{25}{6}[/tex]

Divide by the size of the pieces to get the number of pieces

[tex]Number = Total/Pieces[/tex]

[tex]Number = \frac{25}{6} / \frac{1}{6}[/tex]

[tex]Number = \frac{25}{6} * \frac{6}{1}[/tex]

[tex]Number = \frac{25}{1} * \frac{1}{1}[/tex]

[tex]Number = 25[/tex]

What is the equation of function g

Answers

Answer:

i needed points to ak a question

Step-by-step explanation:

The growth of 7 different plants was recorded in centimeters. What type of graph would be best for comparing the growth of each plant

Answers

Answer:

Bar graph, would probably be your best bet. Hope this helps!

The price of Stock A at 9 A.M. was ​$15.81. Since​ then, the price has been increasing at the rate of ​$0.12 each hour. At noon the price of Stock B was ​$16.56. It begins to decrease at the rate of ​$0.15 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

Answer:

250.890

Step-by-step explanation:

There were 3 boys for every 4 girls in the group if there was 20 girls how many students went on the trip.

Answers

Answer:

35 students

Step-by-step explanation:

If there are 4 girls, then there are 3 boys

You will multiply both by 5 to get 20

So 3×5 is 15

20+15 = 35

Answer: 35 students

Explanation: Divide 4 into 20 to see how many sets of 4 girls there are. So there are 5 sets of four girls.

Five times three is 15.

In total (15 + 20), there are 35 students.

Plz mark brainliest:)

Replace m with a whole number to make the statement true. 4(m + 3) = 36

Answers

Answer:

m = 9

Step-by-step explanation:

9 + 3 is 12.

12 x 4 is 36.

The number line below represents which combined inequality? (10 points)

number line with a closed circle on negative 6 and 5 with shading in between

x greater than or equal to −6 or x less than or equal to 5
x greater than or equal to −6 and x less than or equal to 5
x less than or equal to −6 and x greater than or equal to 5
x less than or equal to −6 or x greater than or equal to 5

Answers

Answer:

x is greater than or equal to −6 and x less than or equal to 5 (second option).

Step-by-step explanation:

This would be written as an "and" inequality; -6[tex]\leq[/tex]x[tex]\leq[/tex]5. Because the circle is closed on the number line, x is greater than or equal to −6 and x less than or equal to 5, and that's pretty much the answer!

Hope this helps!!!! Have an awesome day :3

The midpoint M of GH has coordinates (7,6). Point H has coordinates (8, 7). Find the
coordinates of point G.
Write the coordinates as decimals or integers.

Answers


label the midpoint
M
(
7
,
2
)

since M is the midpoint of GH then

−−→
G
M
=
−−−→
M
H

m
−−

g


=
h



m
−−
g


=
2
m
−−

h


g


=
2
(
7
2
)

(

4
1
)

g


=
(
14
4
)

(

4
1
)
=
(
18
3
)

if there are 8 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made?

Answers

Answer:

1:6

Step-by-step explanation:

8:48 the ratio

48/8 = 6  First you divide in this case both sides can be divided by 8, giving the answer in the most simplest form.


Where can we put parentheses in 45 – 22 +9 to make it equivalent to 14?
Choose 1 answer.
45 – (22 +9)
(45 – 22) +9

Answers

Answer:

45 – (22 + 9)

Step-by-step explanation:

45 – (22 + 9)  = 45 - 31 = 14

(45 – 22) + 9 = 23 + 9 = 32

Answer:

45 – (22 + 9)

45 - (22+ 9 )
45 - 31
14

What is the equation of the line that passes through the point (4, -8) and has a
slope of -1/2?
PLEASE HURRY !!

Answers

Answer:

y= -1/2x-6

Step-by-step explanation:

Write each equation in y = mx + b form.


1. x - y = 4







2. 2x + y = 9

Answers

Answer:

1. y=x-4

2. y=-2x+9

Step-by-step explanation:

x-y=4

-x   -x

-y=-x+4

÷-1    ÷-1

y=x-4

2x+y=9

-2x   -2x

y=-2x+9

x - y = 4
-y = -x + 4 (1
y = x - 4


2x + y = 9 (2
y = -2x + 9



If you need the steps explained message me or reply to this comment!!!

what makes you angry or sad?

Answers

Answer:

all the hate in this world

i wish everyone would quite being so crazy and just realize we can all be friends!

jk jk

we can all be friends we all have diffrent opinions but i wish people could be more respectful

Answer: When people report me even though i did nothing wrong.

Step-by-step explanation:

Your class is holding a fundraiser for a local charity.After the first week,your class raised 1/8 of your goal . After the second week,your class raised a total of 3/8 of your goal . What fraction of the goal was raised during the second week of the fundraiser

Answers

Answer:

3/8

Step-by-step explanation:

A science test is worth 100 points and has 25 questions. There are multiple choice questions worth 3 points each and short essay questions worth 8 points each. How many short essay questions are on the test?

Answers

Answer:

There can be up to 12 short essay questions

answer for immediate brainliest

Answers

Answer:

some

Step-by-step explanation:

Answer:

Some, since naturals number are essentially counting numbers / any whole number excluding zero: 1, 2, 3, 4, 5, 6, 7, ............

For instance, you can't have 0 of a person so natural numbers can represent a set of people.

3(x + 6) — 2(x + 2) > 10

Answers

Answer:

x > -4

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

x + 14 > 10

Step 2: Subtract 14 from both sides.

x + 14 − 14 > 10 − 14

x > −4

Hope it helps!

Josiah cell phone plan allows a number of minutes of air time for $20 a month each minute costs 0.02 $ how many minutes of air time is he allowed?

Answers

Given parameters:

Cost of cell phone plan per minute  = 0.02$/min

Amount in a month  = $20

Unknown:

Number of minutes allowed per month?

Solution:

 The number of minutes = [tex]\frac{amount per month}{rate per call}[/tex]

     Input the parameters and solve;

                                         = [tex]\frac{20}{0.02}[/tex]

                                         = 1000min

The number of minutes allowed per month is 1000min

PLEASE HELP! Geometry property question.

Justify each of the following statements using a property of equality, property of congruence, definition, or postulate.

Please match all of them!

Answers

Answer:

Step-by-step explanation:

1. If PQ = PQ then PQ ≅ PQ

 Reflexive Property of congruence

2. If K is between J and L, then JK + KL = JL

 Segment addition property

3. EF ≅ EF

 Definition of congruence

4. If RS = TU, then RS + XY = TU + XY

 Addition property of equality

5. If AB = DE, then DE = AB

 Symmetric property of equality

a sphere of volume 4851 cm cube then what is the diameter?​

Answers

Answer:

21 cm

Step-by-step explanation:

V = (4/3)(pi)r^3

(4/3)(3.14)(r^3) = 4851 cm^3

r^3 = 1158.1 cm^3

r = 10.5 cm

d = 2r = 2(10.5 cm) = 21 cm

The grasshopper jumps either one block to the north, or one block to the west. He needs to reach the point that is located four blocks west and three blocks north of his current position. The grasshopper needs to avoid two dangerous intersections. The first intersection is one block west and one block north of his current position, and the second intersection is two blocks west and two blocks north of his current position. In how many ways can the grasshopper reach the desired destination?

Please help, im kinda new here, so I need answers immediately, I hope brainy doesn't fail me!

Answers

Answer:

The number of ways the grasshopper can reach the desired destination are 9 ways

Step-by-step explanation:

The directions in which the grasshopper can jump are;

One block north  and one block west

By counting, we have;

The number of possible ways are through blocks

1) 1, 2, 5, 6, 8, 10

2) 1, 2, 5, 6, 8, 9

3) 1, 2, 5, 6, 7, 9

4) 1, 2, 3, 6, 8, 10

5) 1, 2, 3, 6, 8, 9

6) 1, 2, 3, 6, 7, 9

7) 1, 2, 3, 4, 7, 9

8) 15, 14, 16, 12, 11, 10

9) 12, 13, 16, 12, 11, 10

Therefore, there 9 ways the grasshopper can reach the desired destination.

Answer:

9

Step-by-step explanation:

Is the function g(x)= -2x^2 -2x+7 linear or nonlinear?

HELPP plsss

Answers

Answer:

Is non-linear

Step-by-step explanation:

It is a quadratic function

Maurice's shirt has five buttons that are vertically arranged and equally spaced. His shirt is shown in the photo below. The first and last buttons are 15.25 inches apart when measured from the top of the first button to the top of the last button. What is the distance, in inches, between the top two buttons on his shirt, from the top of one to the top of the other? Round your answer to the nearest tenth.

Answers

Answer:

The distance between the top two buttons on his shirt is 3.8 inches.

Step-by-step explanation:

Maurice's shirt has 5 buttons. Distance between first and last button is 15.25.

If we see, they would be arranged like

*

*

*

*

*

They are equally spaced between each button.

So, there are 4 equal spaces between the buttons.

Distance between each two consecutive buttons =[tex]\frac{15.25}{4}[/tex] =3.8125

So, distance between the top two buttons on his shirt is 3.8 inches.

How many solutions does the equation 7x + 3x − 8 = 2(5x − 4) have?

Answers

Answer:

Infinite Solutions because it is 0 = 0

Step-by-step explanation:

helpppppppp

Q1) A car travels a distance of 174 km in 3 hours. Work out its average speed. *
Q2) Ali drives at a speed of 80km/h for 3 hours. Find the distance covered by him. *
Q3) The time taken by a train to cover 240km at a speed of 60 km/h is *
1 point
6 hours
4 hours
8hours

Answers

Answer:

Q1) 58 km/h

Q2) 240 km

Q3) 4 hours

Step-by-step explanation:

1) devide 147 and 3

2) multiply 80 and 3

3) devide 240 and 60

Answer:

58

240

4

____________________

need help ASAP please​

Answers

Answer:

A

Step-by-step explanation:

Answer:

Is A

Step-by-step explanation:

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