Describe a transformation that could be used to show that alternate interior angles are congruent.

Describe A Transformation That Could Be Used To Show That Alternate Interior Angles Are Congruent.

Answers

Answer 1

Answer:

Step-by-step explanation:

From the picture attached,

Let 'l' be the original line having one angle ∠BAC.

If the original line 'l' is shifted or translated to line 'm', angle BAC will replace the angle BDE.

Since, measure of angles are preserved in the translation,

m∠BDE = m∠BAC [corresponding angles]

Since, ∠BDE ≅ ∠MDA [Vertical angles]

Therefore, m∠MDA = m∠BAC

Hence, alternate interior angles (∠MDA) and (∠BAC) will be congruent when line 'l' is translated to line 'm'.

Describe A Transformation That Could Be Used To Show That Alternate Interior Angles Are Congruent.

Related Questions

A popular restaurant advertises that it delivers its orders within 30 minutes. Suppose the average delivery time for one store is 27 minutes with a standard deviation of three minutes. One particular order delivery has a z-score of –2.15. Which of the following statements is not a correct interpretation?

A.The delivery time was 2.15 standard deviations below the average delivery time.
B.The delivery time was less than the average delivery time by 2.15 standard deviations.
C.The delivery time was faster than the average delivery time by 2.15 standard deviations.
D.The delivery time was slower than the average delivery time by 2.15 standard deviations.

Answers

Answer: B. The delivery time was less than the average delivery time by 2.15 standard deviations.

Step-by-step explanation:

Given: A popular restaurant advertises that it delivers its orders within 30 minutes.

Suppose the average delivery time for one store is 27 minutes with a standard deviation of 3 minutes.

z-score value represents the number of standard deviations is the data value is far from mean.

Here, z-score = -2.15 which clearly indicates that the delivery time was 2.15 standard deviations below( '-' sign suggest value is below mean) the average delivery time.

Hence, the correct option is B.

Answer:

B

Step-by-step explanation:

2. What is the measure of the missing angle? *
C-120
B-95
A-85
What is D?

Answers

Answer:

60

Step-by-step explanation:

it is because 360-(120+85+95)

600 students are studying in a private
school, the average monthly fee of a
student is Rs. 1200. How much amount for
tax does the school pay to the government
as education service tax at the rate of 1% in
a year? *​

Answers

Answer:

600 ×1200=720,000

720,000×12=8,640,000

8,640,000×1%=8,640,000÷100%=86,400

86,400 per year

Which equation has the solution x = 9?
Select each correct answer.
+7= 8
4+ 5x = 18
81 – 3 = 6
х
2x – 3 = 15
24 – 2x = 13
3x + 2 = 25

Answers

Answer:

2x – 3 = 15

Step-by-step explanation:

2 * 9 = 18 - 3 = 15. correct

+7 = 8, no I don't really now what you mean by this...

81 - 3 = 6x? > (81 - 3 = 78) = (6 * 9 = 54), no, please tell me if I'm interpreting this right.

4 + 5x = 18 > 5 * 9 = 45 + 4 = 49, no

2 * 9 = 18, 24 - 18 = 6, no

3 * 9 = 27 + 2 = 29, no

After the first week of registration, 92 children had enrolled for the second
session of summer camp. If this represents 80% of the available slots, what
is the maximum number of children the camp can enroll for the second
session?

Answers

Answer:

115 children

Step-by-step explanation:

Please see the attached picture for the full solution.

This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?

Answers

Answer:

(22,0)

Step-by-step explanation:

22 0

35 -15

48 -30

61 -45

74 -60

An object is moving at a speed of 6 miles per month. Express this speed in feet per hour.

Answers

Answer:

44 ft/hr

Step-by-step explanation:

First, we convert miles to feet.

6 mi*5280 = 31680 feet

Now we convert a month to hours. For this question, lets say that a month is equal to 30 days.

30*24 hrs = 720 hrs

Now we have this speed -

31680 ft/720 hrs

Now we simplify this to -

44 ft/hr

So in conclusion, the speed of 6 miles per month is equivalent to the speed of 44 feet per hour.

ASAP!!! PLEASE HELP
10 points

Answers

This is the answer hope you get it :)

what is the place value of the 6 in 976.14

Answers

Answer:

represents the one value

Step-by-step explanation:

Ones place

Use the drop-down menu to complete the statement.
To find the quotient of 2 -
3
circle groups of
8
loo

Answers

Answer:

its 3/8

Step-by-step explanation:

Hopes this helps <3

If necessary, combine like terms. (5x+1)(5x-1)

Answers

Answer:2 5x^2-1

Step-by-step explanation:

A mug is 3/7 full. The mug contains 1/2 cup of water. Find the capacity of the mug

Answers

Answer:

7/6 cups of water is the mug's capacity

Step-by-step explanation:

Capacity refers to how much a container can contain.

Let x be the capacity of the mug.

According to the question, the mug is 3/7 full. This means that the mug contains 3/7 × x = 3x/7 of water.

It was further stated that the mug contains 1/2cup of water. This means that:

1/2 cup of water = 3x/7 of water in the mug

Hence;

1/2 = 3x/7

3x × 2 = 7 × 1

6x = 7

x = 7/6

Therefore, the capacity of that mug is 7/6 cups of water.

The capacity of the the mug if it is 3/7 full and contains 1/2 cup of water is 7/6 cup

Capacity

Given:

Quantity of the mug = 1/2 cup

let

x = full capacity of the mug

Water in the mug = 3/7 of x

= 3/7x

Note:

Water in the mug = 1/2 cup

So,

3/7x = 1/2

divide both sides by 3/7

x = 1/2 ÷ 3/7

= 1/2 × 7/3

= 7/6

Therefore, the full capacity of the mug is 7/6 cup

Learn more about fraction:

https://brainly.com/question/2929160

Find the slope of the line y=4x+2

Answers

Answer:

M=4

Step-by-step explanation:

I hope this helps!

Somebody please answer this question I’m begging you

Answers

Answer: The answer is A, the y value increases by 1.5 as the x value increases by 1. Therefore A does not describe the graph.

How do you solve this? Without going into anything to complicated as this should be Year 10 maths

Answers

Given : ABCD is a square with each side 5cm .

To Find : The area of the shaded region .

Solution : On observing the figure we can see two quadrants , quadrant ADC & quadrant ABC .

If we join A to C , then it will be common for triangles ADC & ABC . And they will be congruent by SSS congruence condition.

Therefore the area of both quadrants will also be equal . Now we can find area of quadrant as ;

[tex]\large\boxed{\red{\bf Area_{quadrant}=\dfrac{\pi r^2}{4}}}[/tex]

Here radius will be equal to 5cm .

⇒ Area = πr² / 4 .

⇒ Area = π (5cm)² / 4 .

⇒ Area = 22/7 × 25 × 4 cm².

Area = 19.64 cm² .

So , total area of both quadrants = 39.28 cm² .

Also , area of square will be :

[tex]\large\boxed{\bf{\red{Area_{square}=(side)^2}}}[/tex]

⇒ Area = 5cm × 5cm .

Area = 25 cm².

Now , subtract area of one quadrant from the area of square = 25cm² - 19.64 cm² = 5.36 cm².

Similarly area of other white region = 5.36cm² .

And the areas sum will be = 5.36cm² × 2 = 10.72cm² .

Now , from the figure it's clear that ,

⇒ Area of unshaded region + Area of shaded region = 25cm².

⇒ 10.72cm² + ar( Shaded region ) = 25cm².

⇒ ar ( Shaded region ) = 25cm² - 10.72cm².

ar ( Shaded region ) = 14.28 cm².

Hence the area of shaded region is 14.28 cm².

[tex]\large\boxed{\red{\bf Answer = 14.28cm^2}}[/tex]

A scanner can scan 20 pages and 120 seconds. How many pages can scan in 4 minutes?

Answers

Answer:

40 pages

Step-by-step explanation:

120 or 2 min x 2 = 4

20 x 2 = 40

Sorry I couldn't explain more, but I hope this helps!

Answer:

40 pages

Step-by-step explanation:

convert 4 mins -> 240 secs

then cross multiply 20/120 and x/240 (x represents the pages scanned)

u then get 120x=4800

simplify(divide)-> x=40

Determine whether each equation is true or false.
-5/-1 = 5
(0/-4) = 0
-3/1 = -3
- 8/0 = 0

Answers

Step-by-step explanation:

1.False

2.True

3.True

4.False

Ik y’all good at math, help me out yall!

Answers

Answer:

i think the answer be 150 feet per minute

hope this is right

Answer:

150

Step-by-step explanation:

use points on the line i'll use (2,300) and (1,150)

m=y2-y1/x2-x1

300-150=150

2-1=1

150/1=150

hope this helps :3

sorry if im wrong

PLZ HURRY IT'S URGENT!!!
What is the slope of the line? y=x−5
options:
undefined
1
0
-5

Answers

Answer:

1

Step-by-step explanation:

Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
OA. VE2
✓ B. 1: 13
C. 5 : 13
OD. 2.5: 6
E. 1: 2
OF. : 3

Answers

Answer:1 squad 3

2 squad 3 :6

Step-by-step explanation:

A delivery driver earns a fixed amount for each delivery she makes, and
yesterday her average hourly wage was $16.50 an hour. If she worked 6 hours
yesterday and made 11 deliveries, how much does she earn for each delivery
made?
O A. $9.90
O B. $9.00
O C. $5.50
O D. $5.00

Answers

Answer:

9 dollars or B

Step-by-step explanation:

16.50 (hourly wage) x 6 (hours worked) = 99 dollars

$99/11 deliveries= 9 dollars per delivery.

the answer your looking for is $9.00 so B hope that helps:)

I know 5his is easy for yall but for me is not I need some help please I'm giving brainlist.​

Answers

Answer:

$2.99

Step-by-step explanation:

Given parameters:

Selling price = $19.95

Discount percentage  = 15%

Unknown:

Amount of discount = ?

Solution:

To find the amount of discount, ;

   Discount amount  = discount percentage x selling price

  Discount amount  = [tex]\frac{15}{100}[/tex] x 19.95

  Discount amount  = $2.99

Y-4>3 solve the question

Answers

Answer:

y>7

Step-by-step explanation:

y-4>3

+4     +4

y>7

Juan’s cell phone company charges $35 a month for phone service with limited data for every gigabyte of data overage the company charges $15 write an equation that represents how many gigabytes one goes over in a month if his bill was $110

Answers

Answer:15x+35=110

Step-by-step explanation:

What is the interquartile range (IQR) of the salaries?
25
35
70
100

Answers

Answer:

First you order the data from least to greatest

then find the mean

next you Calculate the median of both the lower and upper half of the data

The IQR is the difference between the upper and lower medians.

Step-by-step explanation:

What’s the value of y in this picture

Answers

Answer: A 83

Step-by-step explanation:

Add 46 to 51 then subtract from 180 to get the correct answer(83)

Mr. Waxman is helping with deliveries for a shipping company. The graph shows a linear model for his delivery times on different days. (A) Identify two points on the line and write the coordinate pairs below. (B) Use your two points to find the slope, and make sure to show your work. (C) Use your slope from Part B and find the equation of the line in point-slope form. Show your work and work through the steps to transform the equation from point-slope form into slope-intercept form. (D) Based on the equation you found in Part C, predict how long it take Mr. Waxman to deliver his packages on Day 0. Approximately how much did his delivery time decrease per day? 2 SEE A

Answers

Answer:

See below

Step-by-step explanation:

Note: missing graph is attached

Solution

A) The two points are:

(4, 19) and (7, 7)

B) Slope formula: m = (y2-y1)/(x2-x1)

m = (7 - 19)/(7-4)m = -12/3m = -4

C) Point-slope formula:

y - y1 = m(x - x1)

Using one of the points we get:

y - 19 = -4(x - 4)

D) Delivery time on Day 0:

y - 19 = -4(0 - 4)y - 19 = 16y = 16 + 19y = 35 minutes

Delivery time decreases by the value of the slope which is 4 minutes per day

Write an equation in slope intercept form that has a slope of -8 and a y-intercept of 12

Answers

Answer: -8x + 12

Step-by-step explanation:

12 will be y-intercept because it crosses the y-axis.

-8 will be slope because it is the rate of change.

What decimal is equivalent to StartFraction 8 over 100 EndFraction

Answers

Answer:

8/100 is equivalent to 0.08

It is 0.08 I agree with the person answer above just show evidence

What value of x is in the solution set of 8x -6 > 12 + 2x?
-1
0
3
5

Answers

Answer:

x:5

Step-by-step explanation:

The value of 'x' in the solution set is 5 Option D

How to determine the value of x

From the equation

8x -6 > 12 + 2x

Collect like terms

8x - 2x >  12 + 6

6 x > 18

Make 'x' subject of formula

x > 18/6

x >  3

If x is greater than 3, then x is 5

Therefore, the value of 'x' in the solution set is 5. Option D

Learn more about inequalities here:

https://brainly.com/question/24372553

#SPJ9

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