determine if l || m based on the information given on the diagram. If yes, state the converse that proves the lines are parallel.​

Determine If L || M Based On The Information Given On The Diagram. If Yes, State The Converse That Proves

Answers

Answer 1

Answer/Step-by-step explanation:

1. YES.

Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)

Since the sum of the two same side interior angles, 65° and 115°, equals 180°, therefore, l || m.

2. YES.

Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)

Thus,

128° + 53° = 180°.

3. YES.

Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).

Thus,

The indicated angles which are equal to 90°, are corresponding angles therefore, l || m.

4. YES

Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)

Thus, the two exterior angles are congruent, therefore l || m.

Answer 2

The converse which would serve as prove that l is parallel to m are given in the answers below:

Considering the information in the given diagrams:

1. Yes, l is parallel to m.

The converse is: "If corresponding angles are equal, then  l is parallel to m".  One of the corresponding angles plus [tex]115^{o}[/tex] equals [tex]180^{o}[/tex].

Thus, l || m.

2. Yes, l is parallel to m.

The converse is: "if two angles are linear pair, then they sum up to [tex]180^{o}[/tex]".

So then, l || m.

3. Yes, l is parallel to m.

The converse is: "if two corresponding angles are right angles, then they are congruent".

Therefore, l || m.

4. Yes, l is parallel to m.

The converse is: :if two alternate exterior angles are congruent, then l is parallel to m".

Therefore, l || m.

Visit: https://brainly.com/question/19670823


Related Questions

I need help, fast- please-

Answers

Answer:

since she subtracted 15 5 time a total of 5 rafts are needed

Step-by-step explanation:

in the circle shown, AB is tangent to circle o at point and OC is a radius


Which relationship is true?

Answers

Answer:

A. [tex] \overline{OC} \perp \overline{AB} [/tex]

Step-by-step explanation:

According to tangent theorem, a tangent is formed when the radius of a circle is perpendicular to the line, meeting at a point around the circle, such that the tangent line would be perpendicular to the radius of the circle with a center.

Given that [tex] \overline{AB} [/tex] is a tangent of the circle O, at a point C, and [tex] \overline{OC} [/tex] is a radius, therefore, it follows that:

[tex] \overline{OC} \perp \overline{AB} [/tex].

This means the radius of the circle is perpendicular to the tangent formed at point C.

The formula for throwing a baseball in the air is represented by the attached function, where h represents the height of the ball in inches, and t represents time. How high is the baseball after 3 and a half seconds?
h(t)=-3t^2+12t+40

Answers

Answer:

45.25 in

Step-by-step explanation:

To solve this question you would plug 7/2 or 3.5 in for t and solve for h(t).

h(t)=-3(7/2)^2+12(7/2)+40

=-3(49/4)+(84/2)+40

=(-147/4)+42+40

=-36.75+42+40

=45.25 in

You buy a watch for $60. a. There is a 6% sales tax. What is your total cost for the watch? b. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sale price? c. What is your friend's total cost for the watch including tax? Original Price Percent of Discount Sale Price is?

Elizabeth Martz

Answers

Answer:

A= 63.6$

B= 51$

C= 54.6

D= ??? (sorry)

Step-by-step explanation:

hope this helps!

The answers to each part is given below.

What is percentage?

In mathematics →

a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".

Given is that you buy a watch for $60.

{a} -

Total cost of watch -

{C} = ${60 + (6% of 60)}

{C} = ${60 + (6/100 x 60)}

{C} = $(60 + 3.6}

{C} = $63.6

{b} -

New sale price -

{D} = 60 - (15% of 60)

{D} = 60 - (15/100 x 60)

{D} = 60 - 9

{D} = $51

{c} -

Total cost of watch including tax -

{CT} = 51 + (6% of 51)

{CT} = 51 + 3.06

{CT} = 54.06

Therefore, the answers to each part is given above.

To solve more questions on percentage, visit the link below -

brainly.com/question/24159063

#SPJ2

PLEASE HELP ME I NEED THE ANS IN 5 mins
A)it is not possible to tell whether a is greater than or less than zero
b) a is less than zero
c)a is greater than zero
d) a=-1

Answers

Answer:

A

Step-by-step explanation:.................

0.25 divided by 2.65

Answers

Answer:

0.09433962264

Step-by-step explanation:

0.09433962

^
That’s your answer

can someone help asap!!:)

One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?

Answers

9514 1404 393

Answer:

  5 and 15

Step-by-step explanation:

Let x represent the smaller number. Then the larger is x+10. The sum is ...

  2x +3(x+10) = 55

  5x +30 = 55

  5x = 25

  x = 5

The two numbers are 5 and 15.

__

Check

  2·5 + 3·15 = 10 +45 = 55

Find x no need for explanation I just need answer thanks

Answers

Answer:

x = 12 m

Step-by-step explanation:

Length = x m

Width = 3⅔ = 11/3

Area = 44 m²

Area of rectangle = length × width

Plug in the values into the equation

[tex] 44 = x \times \frac{11}{3} [/tex]

[tex] 44 = \frac{11x}{3} [/tex]

Multiply both sides by 3

[tex] 44 \times 3 = \frac{11x}{3} \times 3 [/tex]

[tex] 132 = 11x [/tex]

Divide both sides by 11

[tex] 12 = x [/tex]

x = 12

what is the full from of math​

Answers

Answer:

the full form of math is mathematics

hope it helps

Answer:

full form of mathematics. Explanation: M-miracle of nature. A-art of arithmetic. T-tool of knowledge.

Hope this helps, have a great day/night, and stay safe!

please help me asap

Answers

It’s A because you add the numerator and denominator

Help! Almost a 50 Pointer! Lets see if you can do it!

Answers

answer: basketball c;

How do you solve for this ?

Answers

Remember the inside has to be equal to 180 degrees

Helpp!
Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table
| city | cost ($) | Tax rate |
| A | 250 | 12.5% |
| B | 215 | 14.75% |
What is the difference in cost between the two cities for a weekend trip? Round to nearest cent

Answers

Answer:

$34.54

Step-by-step explanation:

city A

$250 x 1.125 $281.25

city B

$215 x 1.1475 $246.713

difference between the two cities = $281.25 - $246.713

                                                        = $34.54

The difference in cost between the two cities for a weekend trip will be $34.54.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table.

City                Cost ($)             Tax rate

A                     $250                12.50%  

B                     $215                  14.75%

Then the difference in cost between the two cities for a weekend trip will be given as,

⇒ $250 × 1.1250 - $215 × 1.1475

⇒ $281.25 - $246.71

⇒ $34.54

The difference in cost between the two cities for a weekend trip will be $34.54.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ5

1.4y+5-4.2-5y^2+z
It has something to do with combing like terms
Identify the number of terms, variable terms and constant terms in the following expression.

Answers

Answer:

Step-by-step explanation:

[tex]4y+5-4.2-5y^{2}+z[/tex]

constant terms: 5 and -4.2 equals 0.8

No matching variable terms.

[tex]-5y^{2} + 4y+z+0.8[/tex]

4 total terms

6 = 2(y + 2)
Solve for Y.

Answers

Answer:

6=2(y+2)

distributive property

6=2(y)+2(2)

6=2y+4

-4      -4

2=2y

--   --

2   2

divide two in both sides to get y by itself

y=1

Answer:

y = 1

Step-by-step explanation:

6 = 2 (y + 2)

Distribuite:

2 * y = 2y

2 * 2 = 4

2y + 4 = 6

Use additive inverses. The additive inverse of addition is subtraction.

Subtract 4 from both sides:

2y + 4 - 4 = 6 - 4

6 - 4 = 2

2y ÷ 2 = 2 ÷ 2

2y ÷ 2 = y

2 ÷ 2 = 1

To check our answer we multiply how much y is (which is 1) by 2.

2(1) + 4 = 6

2 * 1 = 2

2 + 4 = 6.

please help and you will get 40 points​

Answers

Answer:

loolooloolool

Step-by-step explanation:

Answer:

3x = 40 * 3

40= x

120 juice

40 C

i really need help with this fast!!

Answers

Answer:

Hello. y=1/2x-2

Step-by-step explanation:

The line that is perpendicular to this line ،its slope must be 1/2

So:

[tex]y - y0 = m(x - x0) \\ y - 2 = \frac{1}{2} (x - 8) \\ y = \frac{1}{2} x - 2[/tex]

What is the precision of the measurement 10 feet?

Answers

Answer:

You measure the length of the paper three times and obtain the following measurements: 11.1 in., 11.2 in., and 10.9 in.

According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.40 cm. A two year old girl with Down's syndrome has a head circumference of 44.5 cm. Children with Down's syndrome typically have smaller heads, so this is not surprising. 1. Relative to the WHO data, what is this girls z-score? What does the z score tell us? 2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

Answers

Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. 2.7792%

Step-by-step explanation:

1. Relative to the WHO data, what is this girls z-score?

z score formula is:

z = (x-μ)/σ, where

x is the raw score = 44.5 cm

μ is the population mean = 47.18cm

σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

z score = -1.91429

Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

Converting to percentage = 0.027792 × 100

= 2.7792%

Find 4+(−1 2/3). Write your answer as a fraction in simplest form.

Answers

Answer:

[tex]\frac{7}{3}[/tex]  

I hope this helps!

Answer:

2 1/3

Step-by-step explanation:

How many solutions does 5(2x-3)=5 have

Answers

Answer:

1

Step-by-step explanation:

because it is a linear equation

- A rectangular pool has an area of 140 square feet. If the length of the
pool is 16 feet, what is its width?

Answers

Answer:

8.75 feet

Step-by-step explanation:

Use the area formula, A = lw, where l is the length and w is the width

Plug in the area and length, and solve for w:

A = lw

140 = 16w

8.75 = w

So, the width is 8.75 feet

Answer:

8.75 ft

Step-by-step explanation:

Use the area formula, A = lw, where l is the length and w is the width

Plug in the area and length, and solve for w:

A = lw

140 = 16w

8.75 = w

So, the width is 8.75 feet

What is the sign of B + A? Choose 1 answer: Positive B Negative Neither positive nor negative-the sum is zero.​

Answers

ince they are equal in absolute value and merely differ in being positve or negative, result in a sum of 0

2.5kg of potatoes cost £1.40
Work out the cost of 4.25kg of potatoes

Answers

Step-by-step explanation:

2.5kg=£1.40

4.25kg= x

do cross multiplication

2.5x = 5.95

x=£2.38

Answer= £2.38

which number is irrational number √79 0r √100000

Answers

√79 is an irrational number

Hamid has gained weight.
He now weighs 88kg, whish is higher than his normal weight
What is Hamid's normal weight?

Answers

The situation we have to find is how much weight Hamid has gained. There is no number so I’m just going to teach u how to find the original weight. So basically you have to subtract the weight that is gained from the current weight which will give you the answer to the normal weight.
Current weight-weight gained=normal weight
For example if he gained 5 kg
88-5=83 so his normal weight is 83kg

PLEASE HELP I'LL GIVE YOU 23 POINTS
THERE IS A SCREEN SHOT BUT JUST IN CASE YOU CANT ACCESS IT I'LL ADD THIS!
In the figure shown, line AB is parallel to line CD.

Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 65 degrees, angle QPR is equal to x, angle PRD is equal to 120 degrees.

Answers

Answer:

45 degrees

Step-by-step explanation:

pretty sure

Answer:

x = 55

Step-by-step explanation:

to find angle BPR you would do:

180 - 120 = 60

so BPR is 60°

now to find x you do this:

65 + 60 + x = 180

125 + x = 180

x = 55

Is 90 a perfect cube

Answers

Answer:

No, the first ten perfect cubes are 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.

9/2 ÷ 3/4
Please help me

Answers

The answer will be 6

Amber is designing cylindrical containers that are each 2 meters tall. Which graph
shows the relationship between the radius (x) of each cylinder and its volume (/)?

Answers

Answer:

Step-by-step explanation:

Answer:

Look at pik

...........................................

Other Questions
Who has draped there favorite undertale character Use the graph below to fill in the blank with the correct number:f(-2) =(3 points)5 4 $.2-5 4 3 2 12 3 4 5-2.-35Blank 1: If you wanted to create a poster that displayed exactly the same information, and could be reproduced in thousands of copies, monoprinting would be a good process to use. True or False find the slope of the line on the graph. write your answer as a fraction or a whole number, not a mixed number or decimal. Find the slope (0,0) and (4.16)Find the slope (0,0) and (4,8) Which of the following functions represents the graph onthe left? (Hint: Plug in your x values from the previousslide. Do they produce f(x)=0?)O f(x) = (x-6)(x+2)O f(x) = (x+6) (x - 2) sup 100 point for you correctly factor the expression 15a-6b+36 using the greatest common factors HELP AND ILL PUT U ON BRAINLIEST ! -THANKS Please help me out! If the diameter of the circle is 24 cm, find its area correct to one decimal place.A= ______ cm2 2. After election results of 378 votes were tallied, the new student-body president won by a margin of 5 to 4. How many votes did she get? how does a squirrel get prepare for the winter months? Please help me with this The map shows ancient and modern cities in the Indian subcontinent.A map titled Ancient and Modern Cities on the Indian Subcontinent. A key shows Ancient Indian civilizations with yellow dots and Modern Indian cities with purple dots. There are groups of yellow dots near the western coast and along rivers in the western region. The modern Indian cities of Mumbai and Chennai are along the coastline with Kolkata and New Delhi near rivers.How do the locations of modern cities on the Indian subcontinent compare to the locations of ancient cities?Both are located on inland plains.Both are located along water sources.Both are located along the Bay of Bengal.Both are located far from the Ganges River. How might interest groups such as the National Rifle Association or Sierra Club influence politics? What is the slope of this line? Viva, Inc. bought machine X for two years ago. The machine had no residual value and had an estimated useful life of 10 years. If the company uses the straightline depreciation method, calculate the current book value of the machine. Probable cause cannot be flexible for law enforcement because it could take away basic freedoms and rights.True or False? peopleeee help me lol Find the perimeter and area of a circle with diameter 14 m