Given: Line NM is parallel to line OQ, like NE is congruent to line OQ, Line NR is perpendicular to line MP, line OP is perpendicular to line MP
Prove: NR congruent to OP

Given: Line NM Is Parallel To Line OQ, Like NE Is Congruent To Line OQ, Line NR Is Perpendicular To Line

Answers

Answer 1

Answer:

Step-by-step explanation:

From the picture attached,

In ΔNMR and ΔOQP,

NM║OQ, and MP is the transversal intersecting these lines at M and Q.

∠NMR ≅ ∠OQP [Given]

m∠NRM = m∠OPQ = 90° [Given]

ΔNMR ~ ΔOQP [By AA property of similarity]

Therefore, corresponding sides of the similar triangles will be proportional.

[tex]\frac{NM}{OQ}=\frac{MR}{QP}=\frac{NR}{OP}[/tex]

Since, NM ≅ OQ [Given]

Therefore, NR ≅ OP


Related Questions

Use benchmark values to estimate 7/10 + 7/8.​

Answers

Answer:

1.575

Step-by-step explanation:

If you went to school at 7:55 a.m. what time will it be in 4 hours?

Answers

11:55AM

8:55
9:55
10:55
11:55

Answer:  11:55 I hope this helps Have a nice day

Step-by-step explanation:

what is the estimate product of 33 and 76

Answers

33 multiplied by 76 is 2,508.

Estimation is ~2,500.

The school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft

Dimensions: 2 1/4 and 3 3/16

Using the dimensions indicated on the drawing, what is the total area of the new room?

Answers

Answer:

the total are is 459

Step-by-step explanation:

3  3/16 divided by 1/8 = 25 1/2 or 25.5

2  1/4 divided by 1/8 = 18

so 18 x 25.5 = 459

hope this helps

The total area of the new room is 459.

What is the scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

WE are given that school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft

Dimensions: 2 1/4 and 3 3/16

Therefore,

3  3/16 divided by 1/8 = 51/2 or 25.5

2  1/4 divided by 1/8 = 18

Thus we have the area

= 18 x 25.5

Area = 459

The total area of the new room is 459.

Learn more about scale factor here:

https://brainly.com/question/11178083

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$600 7) Nika puts 42 beads in each necklace. Which is the best way to use rounding numbers to estimate the number of beads Nika needs for 2 necklaces? 25 x 45 O 30 x 30 O 20 x 40 O 30 x 40​

Answers

Answer:

20 X 40 = 800 (split into 2 fourths) = 40

Step-by-step explanation

20 x 40 = 800;

For 2 necklaces she can split 800 into fourths.

800 - 40 = 80. (1 fourth)

80 - 40 = 40 (2 fourths)

40 - 40 = 0 (3 fourths)

She could split 800 into 2 fourths to get a number more than 0 and less then 42.

The best estimate of rounding 42 is 40. Because 40 is closer to 42.

round 803 to the nearest ten. Enter your answer in the box below.​

Answers

Answer:

800

Step-by-step explanation:

Answer:

Hey buddy, here is your answer. Hope it helps you

Step-by-step explanation:

It will round off to 800 as it is below 5. Above 5 it will round off to 810.

Note: Enter your answer and show all the steps that you please.
Are the ratios 25/45 and 15/27 proportional?

Answers

Yes they are proportional to each other 25/45 =0.5 repeating itself and 15/27 is 0.55 also repeating itself

I hope this help you :) mark me brainiest if u need anything more help like this tell em
yes they are proportional and that’s why ⬇️

Find the quotient of 60:5

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

60:5 = 60/5. 60/5=12

3x + 17 < 47


43<8x-9 can you answer this ASAP please !!!

Answers

Answer:

3x + 17 < 47 solving for x = x<10

43<8x-9 solving for x = x = 13/2

Assume there are 11 voting districts in the county.  Polly Tician is running for office. She figures she must win at least 7 of the districts to win the election.  If she has an equal chance of 60% to win any one district, what are her chances of winning the election?

Answers

Answer:

53.3%

Step-by-step explanation:

Here we will use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

In this case, n = 11, r ≥ 7, p = 0.6, and q = 0.4.

P = ₁₁C₇ (0.6)⁷ (0.4)⁴ + ₁₁C₈ (0.6)⁸ (0.4)³ + ₁₁C₉ (0.6)⁹ (0.4)² + ₁₁C₁₀ (0.6)¹⁰ (0.4)¹ + ₁₁C₁₁ (0.6)¹¹ (0.4)⁰

P = 0.236 + 0.177 + 0.089 + 0.027 + 0.004

P = 0.533

David is traveling at a rate of 62 feet per second. Select all of the following rates that are equivalent or approximately equivalent to David’s rate of 62 feet per second.

Answers

Answer:

.68.0314 m/s

.42.272752125mph

68.0314km/h

Step-by-step explanation:

read the photo and please answer!!
please someone help me answer this and please do give explanation to your answer!

which equation represents the problem?

3x -3 =45

3x = 45 + 3

3 + 3x = 45

3 = 45 + 3x



Now Recipes?

x= 13

x= 15

x= 16

x= 14

Answers

Answer:

3 + 3x = 45 ; x = 14

Step-by-step explanation:

45 = 3x + 3 ⇒ x = 14

To gather data involving their classmates, 50 fourth graders each filled out a personal information survey sheet. In the category of pets, 22 students had a cat, 17 students had a dog, and 9 students had both a dog and a cat. If a student is randomly selected from this class, what is the probability the student will have a dog or a cat

Answers

Answer:

0.60

Step-by-step explanation:

In the category of pets

22 students had a cat = P(C)

17 students had a dog = P(D)

9 students had both a dog and a cat = P(C and D)

The formula to find the Probability of two events =

P(C or D) = P(C) + P(D) - P(C and D)

P(cat or dog) = P(cat) + P( dog) - P(cat and dog)

P(cat or dog) = 22/50 + 17/50 - 9/50

P(cat or dog) = 0.44 + 0.34 - 0.18

P(cat or dog) = 0.60

The probability the student will have a dog or a cat is 0.60

whats the area of a circle if the diameter 6

Answers

Answer:

28.27

Step-by-step explanation:

Answer:

18.84

Step-by-step explanation:

6x3.14 = 18.84. multiply by pi

where does 3.5 belong o the venn diagram

Answers

Answer:

I think i would be c or a but im not sure

step-by-step explanation:

3/4 (x-12) = 12
solve for x

Answers

Answer:

28

Step-by-step explanation:

I got this question on  a test and got it right

HAVE A GREAT DAY!

What’s a rationale number ?

Answers

Answer:

A Rational Number can be made by dividing two integers.

(An integer is a number with no fractional part.)

Step-by-step explanation:

Answer:

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Step-by-step explanation:

Hope this helps. :D

The graph below shows the cost that Hondo pays for apples. What does the point (0,0) on this graph mean?

Answers

Answer:

(0,0) means that he didn't buy any apples so it doesn't cost anything

Step-by-step explanation:


Which values, in order, will complete the table

Answers

Answer:

A or -1/2, -rad2/2, -rad3/2

Step-by-step explanation:

Right on edge

Answer:

A

Step-by-step explanation:

correct on edge 202222222

hannah and jayna have disponsable camreas. The table and desprition shiw the number of shots left on thier cameras as a function of time.

Answers

Answer:

Okay, so what is the question?

Answer:

   Tornado: clouds, strong wind, rain, hail.

   Hurricane or cyclone: strong wind, heavy rain.

   Blizzard: heavy snow, ice, cold temperatures.

   Dust storm: strong winds, arid conditions.

   Flood: heavy rainfall.

   Hail storm: cold or warm temperatures, rain, ice.

   Ice storm: freezing rain.Step-by-step explanation:

Which property justifies drew first step ?



A.commutative property of multiplication

B.associative property of addition

C. subtraction property of equality

D. distributive property of multiplication over addition

Answers

D) Distributive property of multiplication over addition

What division problem can be represented using the number line?

A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction.
StartFraction 10 Over 3 EndFraction divided by five-thirds
Five-thirds divided by StartFraction 10 Over 3 EndFraction
2 divided by five-thirds
2 divided by StartFraction 10 Over 3 EndFraction

Answers

Answer:

It's the first answer.

Step-by-step explanation:

Answer:

The Answer is A

Step-by-step explanation:

I dont know man help please

Answers

Answer:

m∠1 = 63°

m∠2 = 49°

m∠3 = 87°

m∠4 = 44°

Step-by-step explanation:

From the given figure

∵ ∠2 and 49° are vertically opposite angles

∵ The vertical opposite angles are equal in measures

m∠2 = 49°

∵ The sum of the interior angles of a Δ is 180°

∵ m∠1, m∠2, and 68° are interior angles of a Δ

∴ m∠1 + m∠2 + 68° = 180°

∵ m∠2 = 49°

∴ m∠1 + 49° + 68° = 180°

→ Add the like terms in the left side

m∠1 + 117 = 180

→ Subtract 180 from both sides

m∠1 = 63°

∵ ∠3 and 93° formed a pair of linear angles

∵ The sum of the measures of the linear angles is 180°

m∠3 + 93° = 180°

→ Subtract 93 from both sides

m∠3 = 87°

∵ 93° is an exterior angle of the triangle

∵ The measure of the exterior angle of a Δ at one vertex equals the sum

   of the measures of the opposite interior angles to this vertex

∵ ∠4 and 49° are the opposite interior angles to 93°

49° + m∠4 = 93°

→ Subtract 49 from both sides

m∠4 = 44°

Joaana saves nickels and quarter in a jar

Answers

What are you tryna ask...

Answer:

The jar problem

Step-by-step explanation:

Joaana saves nickels and quarter in a jar

She looked to see if she had enough coins to fix her car

She didn't so she went on the side of the street to play her guitar

She played for money by a food bar

She worried she wouldn't make a lot

So she bet illegally on some chickens that fought

She was scared the cops would come and she would get caught

The saw the cops coming and her eyes lit up like a match

She grabbed $500 and she was one they wouldn't catch

It turns out she only needed $10 to fix a tiny scratch

She only had $5 is coins in her jar

Now she has $500 and can fix her car

Hope this helps ya! Keep smiling!

Turner took a total of 8 quizzes over the course of 4 weeks. How many weeks of school will Turner have to attend this quarter before he will have taken a total of 16 quizzes? Assume the relationship is directly proportional. plz just put the answer

Answers

Answer:

8 wks

Step-by-step explanation:

It's 8 weeks

It's literally 8 weeks

How is the interest rate on a payday loan calculated?
a.
loan amount divided by total fees
b.
total fees divided by loan amount
c.
total fees divided by days of loan
d.
APR divided by 365

Answers

Answer:

b. total fees divided by loan amount

Step-by-step explanation:

The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.

Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.

Answer:

b. total fees divided by loan amount

Step-by-step explanation:

The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.

Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.

Please help me as soon as possible! :)

1 1/8 + b ≥ 7/16

Answers

Answer: 42

Step-by-step explanation:

Example:

Solve x + 7 < 15

Solution:

x + 7 < 15

x + 7 – 7 < 15 – 7

x < 8

Inequalities Of The Form “x – a < b” or “x – a > b”

Please mark me brainliest if this helped you ! (by clicking the little crown on my answer) it helps a lot thnx! (*≧∀≦*)

The solution of the inequality 1 1/8 + b ≥ 7/16 will be;

⇒ - 11/16 ≤ b

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ 1 1/8 + b ≥ 7/16

Now,

Solve the inequality as;

The inequality is,

⇒ 1 1/8 + b ≥ 7/16

Solve for b as;

⇒ 9/8 + b ≥ 7/16

Subtract 9/8 as,

⇒ 9/8 + b - 9/8  ≥ 7/16 - 9/8

⇒ b ≥ (7 - 18) / 16

⇒ b ≥ - 11/16

⇒ - 11/16 ≤ b

Thus, The solution of the inequality 1 1/8 + b ≥ 7/16 will be;

⇒ - 11/16 ≤ b

Learn more about the inequality visit:

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If you bake 3/4 of a cake in 5/6 of an hour, how long does it take to bake 18 cakes

Answers

Answer: 15

Step-by-step explanation: 5/6 times 18 = 15 hours

I think that it would be 20 hours

Mario paid $30 to activate his cellular phone plus $50 per month. Type an equation:_

Answers

Answer:

50x + 30

Step-by-step explanation:

50 is the amount per month and x is how many months he's paying. If he's paying for 5 months then you replace x with 5 so on and so forth. the + 30 is the amount he paid to active his phone

Answer:

pa rompa pero no poden con mi pom pom con pom pom con pom pom

Step-by-step explanation:

Convert 144 pounds to kilograms. Use 1 kg = 2.2 Ib. Round your answer to the nearest tenth. kg​

Answers

Answer:

Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :

144/2.2

=65.45

=70 kg

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