In △ ABC and △ PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm . Which of the following statements is true ?I


△ ABC ≅ △ QPR

△ ABC ≅ △ QRP

△ ABC ≅ △ RQP

Answers

Answer 1

Given:

In △ABC and △PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm.

To find:

The correct congruency statement for the given triangles.

Solution:

In △ABC and △PQR,

[tex]AB=QR=5\ cm[/tex]                    (Given)

[tex]BC=PQ=6\ cm[/tex]                    (Given)

[tex]AC=PR=8\ cm[/tex]                    (Given)

All three corresponding sides of both triangles are equal. On comparing both triangle, it is conclude that the corresponding angles of A, B, C are R, Q, P respectively.

[tex]\Detla ABC\cong \Delta RQP[/tex]               (SSS congruency postulate)

Therefore, the correct option is C.


Related Questions

I need help what is 1+1 I've been on this for TWO hours...

Answers

Answer:

the answer is 2

Step-by-step explanation:

sorry if this is wrong

A coin is flipped and a die is rolled find the probability of getting a head on the coin and a 4 on the die​

Answers

Answer:

So for the head and tails one it is 1/1 chance of getting a head and for the dice on it is 1/21 that's the porbability hopes this helps :)

Step-by-step explanation:

Probability of getting a head on the coin and a 4 on the die​ is 0.083.

What is probability?

Probability defines the likelihood of occurrence of an event. Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes

According to the question

A coin is flipped and a die is rolled

Probability of getting a head on the coin and a 4 on the die​:

Total Number of favorable outcomes(coin is flipped) = {H, T}  = 2

Number of favorable outcomes (head) = 1

Total Number of favorable outcomes(die is rolled) = {1, 2, 3, 4, 5, 6}  = 6

Number of favorable outcomes (4 on the die) = 1

P(head) = [tex]\frac{1}{2}[/tex]

P(4) = [tex]\frac{1}{6}[/tex]

P(head and 4) = [tex]\frac{1}{2}[/tex]. [tex]\frac{1}{6}[/tex]

= [tex]\frac{1}{12}[/tex]

= 0.083

Hence, Probability of getting a head on the coin and a 4 on the die​ is 0.083.

Find out more information about Probability here

https://brainly.com/question/11234923

#SPJ2

the sum of 2 fractions 8/9. the difference 2/9. what are the 2 fractions?​

Answers

Answer:

5/9 and 3/9

Step-by-step explanation:

run through the different possibilities and see what has a difference of 2/9th. Here is the way I ran through it

1/9 + 8/9 Difference is not 2/9th

2/9 + 6/9 Difference is not 2/9th

3/9 + 5/9 Difference is 2/9th. This is our answer

Step-by-step explanation:

5/9 and 3/9.....add 5/9 and 3/9 and you will get 8/9....if you subtract 5 and 3 it will give you 2....5/9-3/9=2/9

Factor the following: 18X - 6

6 (3x - 1)
18 (x - 1)
9 (2x - 4)
I need the answer NOW

Answers

Answer:

Answer is 6(3x-1)

Step-by-step explanation:

I hope it's helpful!

What is the area of the top AND bottom faces?

Answers

Answer:

Top : 24cm²

Bottom : 24cm²

Step-by-step explanation:

Surface area : Base × Height

Top :

3 × 8 = 24

Bottom :

3 × 8 = 24

How many 1/5 are in 20? Enter your answer in the bo

Answers

Answer:

4

Step-by-step explanation:

20 devided by 1/5 is 4

Give triangle ABC with coordinates A(3, 8), B(9,0) and C(5,2). How can you prove that triangle ABC is isosceles? Show your work.

Answers

Answer:

The distances AB and BC are

52

and therefore isosceles.

Explanation:

If we label them A(13,-2) B(9-8) and C(5-2)

The distance between A and B:13⇒9=4−2⇒−8=42+62=52 so the distance is √52

The distance between B and c:9⇒5=4−8⇒−2=642+62=52

the distance is

52

The distance between A and C is 8 as they are both on -2 for

y

The distances AB and BC are

52

and therefore isosceles.Step-by-step explanation:

Helllllllpppppp pls help me

Answers

Answer:

there you go!! it's correct dont worry

WILL MARK BRAINLIEST! Solve for X on the provided picture. Thank you!

Answers

A. 90°

yeah yeah dababy car dababy

Answer:

Step-by-step explanation:

x + (180-140) + (180-132) = 180

x = 92°

Need help please. What is the area of the shaded region. Thank you so much.

Answers

Answer:

[tex]Area = 8\ unit^2[/tex]

Step-by-step explanation:

Given

The 7 * 3 grid

Required

Determine the area of the shaded

From the grid, 4 cells on 2 rows were shaded.

Since 1 grid cell = 1 unit.

The area is:

[tex]Area = 4\ unit * 2\ unit[/tex]

[tex]Area = 8\ unit^2[/tex]

how can i do dis plss​

Answers

It’s the second one

Which expresses shows another way to write 36+16?

Answers

4(9 + 4), because :

4 * 9 + 4 * 4 = 36 + 16

PlEASE HELP ASAP!!!! USATEST PREP DUE TODAY!!!Please No Links!!!

Answers

okey no links here u go

Answer:

2

Step-by-step explanation:

[4^2/(-1+3)^3+2*10] / (10+1)

= [16/8+20] / 11

= 22/11

=2

Hope this helps :) Giving me brainiest would help a lot :))

Data from a representative sample were used to estimate that 31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money. You decide to conduct a survey to estimate this proportion for the current year. What is the required sample size if you want to estimate this proportion with a margin of error of 0.05

Answers

Answer:

The required sample size is 329.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money.

This means that [tex]\pi = 0.31[/tex]

Confidence level is not given, so we assume 95%.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What is the required sample size if you want to estimate this proportion with a margin of error of 0.05?

We need a sample size of n. n is found when M = 0.05. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.31*0.69}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.31*0.69}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.31*0.69}}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.31*0.69}}{0.05})^2[/tex]

[tex]n = 328.6[/tex]

Rounding up

The required sample size is 329.

Figure B is a scaled copy of Figure A. Figure A Figure B​

Answers

Answer:

I believe 2.

Step-by-step explanation:

All the lengths can be multiplied by 2 to equal the lengths of the larger triangle.  However, I am not positive.

Answer:

2

Step-by-step explanation:

22x2=44

10x2=20

32x2=64

40x2=80

all of them match so yes they are equivalent

Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?

Answers

If jill collected 19 gallons equally between 7 jars it will 109

Which of the following functions has the same horizontal asymptote as the function graphed below?

Answers

Answer:

In most cases, there are two types of functions that have horizontal asymptotes. Functions in quotient form whose denominators are bigger than numerators when x is large positive or large negative.

Step-by-step explanation:

What is the equation ( y = mx + b) of the line that passes through (2,5) and (6, 13)

Answers

Answer:

y=2x+1

Step-by-step explanation:

y=mx+b

m=(13-5)/(6-2)

m=8/4

m=2

b=y-mx

b=5-2*2

b=5-4

b=1

y=2x+1

Answer:

y=2x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(13-5)/(6-2)

m=8/4

m=2

y-y1=m(x-x1)

y-5=2(x-2)

y-5=2x-4

y=2x-4+5

y=2x+1

I NEED HELP.
2X^2-8X= BUT FACTORISE!

Answers

Answer:

This is my answer

2x(x-4)

Step-by-step explanation:

2x(x-4)

[tex]\tt{} {2x}^{2} - 8x[/tex]

[tex]\tt{}2x \times (x - 4)[/tex]

Decide if the expression is positive or negative. Explain in words how you know, please.


11/-3 and -11/-3

Answers

Answer:

The expression is negative

Step-by-step explanation:

11/-3 is negative

-11/-3 is positive

negative + positive or positive + negative =  negative

Which letter has line symmetry?

Answers

Answer:

e. M

Step-by-step explanation:

Answer:

M has line symmetry

Step-by-step explanation:

hope this helps

Alex bought a 6-pack of sports drink bottles that each had a volume of 350 ml.
a If Alex drank 3 of them, how many milliliters did she drink? Show your work.

Answers

Answer:

1,050ml

Step-by-step explanation:

6 x 350= 2,100

3 x 350= 1,050

2,100 - 1,050 = 1050ml

350 times 3= 1050 milliliters

ASAP!! Which graphs have same domain?
Graphs 1 and 2
Graphs 1 and 3
Graphs 2 and 3
Graphs 1, 2, and 3

Answers

Graph 1 and 3 have the same domain

Answer:

B

Step-by-step explanation:

What is an equation of the line that passes through the points (7,4) and (-5,4)

Answers

Answer:

y=4

Step-by-step explanation:

-3z - z equivalent expression

Answers

-4z is equivalent. You’re moving further down the number line in the negative direction.

what is the difference in length between the longest meteor and the shortest meteor ​

Answers

Answer:

Please show the full problem

Step-by-step explanation:

Answer:

If this is the same question the answer is 3 1/3

Step-by-step explanation:

What is the solution to this addition sentence?

3/4 + (-1/2) = _____

Answers

Answer:

1/4

Step-by-step explanation:

-1/2 in to -2/4

3/4+(-2/4)=1/4

The answer is 1/4th
I guess so

Which of the following gives a valid reason for using the given solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation Il: 2x + 3y = 2
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
B
Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I
0
Substitution: Equation I can be solved for x in one step by dividing both sides by 4.
D.
Substitution: Equation Il can be solved for x in one step by subtracting 3y from both sides.

Answers

Answer:

C

Step-by-step explanation:

Janie walks 1 mile to get to a running track.she then runs at a speed of 3.5 miles per hour.Which linear models represents the total distance she ran and walked, d, as a function of t, the time she runs,in hours?

Answers

Answer:

d = 3.5t + 1

Step-by-step explanation:

The linear function would have to multiply the speed she runs at the track by the number of hours that she spent running. Then it should add this amount to the 1 mile that she walked to get to the track. If we use the variable d as the total distance that she ran and walked, and the variable t to represent time then we would create the following linear function/model.

d = 3.5t + 1

What is the surface are of the box in square meters that Elizabeth decorates

Answers

Answer:

Step-by-step explanation:

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