Mathematics High School

Find the value of X in order to prove that the two triangles are congruent by the SSS Congruence Postulate

Find The Value Of X In Order To Prove That The Two Triangles Are Congruent By The SSS Congruence Postulate

Answers

Answer 1

Answer:

x=2

Step-by-step explanation:

17x-8=11x+4

Add 8 to both sides:

17x=11x+12

Subtract 11 x from both sides:

6x=12

Divide both sides by 6:

x=2

Answer 2

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{2}[/tex] such that the two triangles are congruent as per the Side-Side-Side Congruence Postulate.

Side-Side-Side Postulate

According to Side-Side-Side postulate, if the three sides of one the two triangles are congruent to each other then the two triangles are congruent.

Congruent triangles have the same shape as well as the same size.

[tex]\boldsymbol{\bigtriangleup MPQ\cong \bigtriangleup NPQ}[/tex]

This implies [tex]PM,PN[/tex] are same in length.

[tex]17x-8=11x+4[/tex]

       [tex]6x=12[/tex]

         [tex]x=2[/tex]

So, value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{2}[/tex].

Find out more information about Side-Side-Side postulate here:

https://brainly.com/question/1593616?referrer=searchResults

Related Questions

There are 12 more boys than girls in the cafeteria. If there
are 22 people all together, how many boys are there?

Answers

22-12= 10 so they’re are 10 boys have a nice day


1. The difference of five times a number and 6 is -2.

Answers

Answer:

13

Step-by-step explanation:

5-x+6=-2

X=13

3х - 7= 2х + 3 help !

Answers

x=10

just add 7 to 3 and then subtract 2x from 3x and u get 1x=10
x=10 just trust me......

A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?

PLEASE ANWSER SERIOUSLY

Answers

Answer:

im pretty sure its 56.25 cus 45= 80% of 56.25

Step-by-step explanation:

isaac wants to buy a silver coat rack. The original price is $880, 20% off. What is the sale price?

Answers

Answer:

idon know the first point

Factor the expression.
2x + 8

Answers

Answer:

2x+8

2 is common

2(x+4)=0

Step-by-step explanation:

Eric made a scale drawing of the middle school. The scale he used was 1inch=5feet. If the gym is 30 inches by 20 inches in the drawing, what is the acual length and width of the gym.

Answers

Answer: 150 feet : 100 feet

Step-by-step explanation:

From the question, we are informed that the scale used by Eric was 1inch=5feet.

If the gym is 30 inches by 20 inches in the drawing, the acual length and width of the gym would be:

Length = 30 inches = 30 × 5 feet = 150 feet

Width = 20 inches = 20 × 5 feet = 100 feet

Therefore, the acual length and width of the gym would be 150 feet by 100 feet

Answer:

Answer: 150 feet : 100 feet

Step-by-step explanation:

From the question, we are informed that the scale used by Eric was 1inch=5feet.

If the gym is 30 inches by 20 inches in the drawing, the actual length and width of the gym would be:

Length = 30 inches = 30 × 5 feet = 150 feet

Width = 20 inches = 20 × 5 feet = 100 feet

Javier wants to put in a home theater. The area of the space for the screen is 20 ft by 16 ft. What is the largest home theater screen he can purchase, in feet, if the size is determined by the length of the diagonal?

Answers

Step-by-step explanation:

I dont know I need help I have this answer in my test and I need help plz

Answer:

25

Step-by-step explanation:

PLEASE HELP ASAP!!

Which is the best approximation for the value of 102?

Answers:

A.) 10
B.) 11
C.) 50
D.) 51

Answers

Answer:

D

Step-by-step explanation:

Brainliest to RIGHT answer

Answers

Answer:

Calculate the slope Take two points So 3x is the slope 0=3(-2)+b b = 6 y=mx+by=3x+6 Give brainlist


Need help please not understanding

Answers

Answer:

The value of ∠4 is 45° .

Step-by-step explanation:

Given that , ∠4 = x + 30 ° & ∠2 = 2x + 15 .We need to find the measure of ∠4 . So from the figure we can see that , ∠2 & ∠4 are corresponding angles .So they will be equal.

⇒ ∠2 = ∠4 [ Corresponding angles ]

⇒ x + 30° = 2x + 15°

⇒ 2x - x = 30° - 15°

⇒ x = 15°

Hence the value of x is 15°

⇒ ∠4 = x + 30°

⇒ ∠4 = 15° + 30°

⇒ ∠4 = 45°

★ Hence the value of ∠4 is 45° .

After swimming 55 feet below the surface of the water, a
fish swims up 30 feet. Use a number line to help you create
an equation that shows the new location of the fish in
relation to the water's surface.
-80 -70 -60 -50 40 -30 -20 -10 0
10
Interpret the sum in the context of the problem.

Answers

Answer:

c.

Step-by-step explanation:

when the fish swam down 55, you moved 55 to the left of zero. then when he swam 30 up, you take that 55 and move it 30 towards to the right. since -55 is greater than 30, your answer is still negative. -55+30=-25.

Answer:

C

Step-by-step explanation:

Courtney needs to find 2,495 ÷ 48. In which place should she write the first digit of the quotient?
A. Ones
B. tens
C. Hundreds
D. Thousands

Answers

Answer:

Tens

Step-by-step explanation:

The 5 in 51 should be above the nine

Answer:

B.

Step-by-step explanation:

2,495 ÷ 48 is 51.97

the tens is the largest place value so thats where you would start

24a+48=9(2a-4) please

Answers

Answer:

a = -14

Step-by-step explanation:

1. distribute

24a + 48 = 9(2a - 4)

24a + 48 = 18a - 36

2. subtract 48 from both sides of the equation

3. simplify

4. subtract 18a from both sides of the equation

5. simplify

6. divide both sides of the equation by the same term

7. simplify

solution: a = -14

hope this helped!

Evaluate the expression.

−4(−2) − 4 − 2 =

Answers

Answer:

2

Step-by-step explanation:

-4 x -2 is 8. -4 -2 is -6. 8-6 is 2.

Answer:

8-4-2=2

It was +8 because the multiplication of two negatives will give u a positive

Step-by-step explanation:

freh points for da butter dog the dog wit da butter

Answers

Answer:

tanks for the freh points

Step-by-step explanation:

we all like freh points

Answer:

butter dog sounds cool

Step-by-step explanation:

EXOTIC BUTTERS?

Binda is working on an art project that requires 32 feet of ribbon. She has 17 1/2 feet of ribbon, but needs to purchase more ribbon to have enough to finish her art project. All of the ribbon will be cut into piece that are 1/4 foot long. Write and solve an equation that can be used to determine the number of feet of ribbon, x, that Binda needs to purchase to finish her art. How many 1/4 foot pieces of ribbon can Binda make from all 32 feet of ribbon?

Answers

Answer:

x + 17.5 = 32 (subtract 17.5 from 32 to get your answer)

14.5 feet of ribbon Binda needs to purchase

32 / 0.25 = 128 pieces of 1/4 foot ribbon

Answer:

x + 17.5 = 32 (subtract 17.5 from 32 to get your answer)

14.5 feet of ribbon Binda needs to purchase

32 / 0.25 = 128 pieces of 1/4 foot ribbon

Step-by-step explanation:

Solve for x. show work. 8+b/-4=5

Answers

Answer:

b=12

Step-by-step explanation:

I WILL MARK THE BRAINEST

1.How many exterior angles are there at each vertex of the triangle

2.How many exterior angles does a triangle have in all

Answers

Answer:

blank 1: 2

blank2: 6

hope this helps

Tasha believes that she can rewrite the differences 48-36 as a product of the GCF of the two numbers and another difference. Is she correct?

Answers

Answer:

Tasha is correct

Step-by-step explanation:

Answer:

Yes she is correct.

Step-by-step explanation:

Can you guys help me please ?!! Thank you!

Answers

Answer:

3/5

Step-by-step explanation:

3x3=9

3x5=15

3/5=15

Answer:

3/5

Step-by-step explanation:

jsvdksbdjsbddhdcdhsnsbs

how to solve this problem​

Answers

Why is there a 8 in the corner

Opposites
"Problem #1:
a. How would the frog hop to meet the following requirements?
• From 6, make one hop and land on 8.
• From 8, make one hop and land on the opposite of 8.
• From the opposite of 8, make one hop to land on the opposite of the
opposite of 8.
Answer:
How could you write the opposite of the opposite of 8" using math symbols?
Answer:

Answers

Answer:

opposite of 8 is -8 and the opposite of -8 is 8 :D

Henry planted 24 tomato plants and 18 green bean plants in his garden. Simon planted 30 tomato plants and 25 green bean plants in his garden.
The ratio of tomato plants to green bean plants is
A. the same or B. different for the two gardens.

Answers

Answer:

Its different.

Step-by-step explanation:

Henry's garden:

divide 24 and 18 by 6: you get 4:3 ratio of tomato:green bean

Simon's garden:

divide both 30 and 25 by 5: you get 6:5 ratio of tomato:green bean.

Valentines $54 for nine hours of work at that rate how long will she have to work to earn $900

Answers

Answer:

Step-by-step explanation:

63 hours

hope it helps

Answer:

a little more than 16 1/2 hours but you should round it up to 17 hours

Step-by-step explanation:

If she can only work hours and not half hours or anything, the answer would be 17 hours and she will have a little more than $900 because 16 hours would be too little time.

(sorry if this is confusing but i hope it helped)

Maurice has completed 64 pages of the research paper he is writing. That is 80% of the required length of the paper. What is the required length of the paper?

Answers

Answer:

80 pages

Step-by-step explanation:

Let the required length of paper = x

Hence:

80% of x = 64 pages

80/100 × x = 64 pages

80x /100 = 64 pages

Cross Multiply

80x = 100 × 64 pages

x = 6400/80

x = 80 pages

Therefore, the required length of the paper = 80 pages

Help plsssssss??!!!!!!

Answers

Answer

y= 12x-64

Step-by-step explanation:

   

(7,10) and (6,8)
= 8-10/6-7
= -2/-1
= 2
Also, I just want to say happy new year to you and also, have a fantastic rest of your day!
Also, can you please mark my answer as the brainliest answer?
Thank you so much!

At the local theatre, 120 people attended at the production of Romeo and Juliet on Friday. The attendance on Saturday was 140% of the attendance on Friday. How many people went to the theatre on Saturday?

Answers

Answer: 168 people

Step-by-step explanation:

If 120 people attended on Friday, 120% of that will be:

= 120 * 140/100

= 168 people

please help it is due at 4:15

Answers

Answer:

$2720

Step-by-step explanation:

Interest = P×R×T /100

= 2000×12×3 /100

=72000/100 = $720

Amount = Principal + Interest

= $2000+$720 =$2720

I don't understand this, I have the answer but I don't know or how to explain my work.

Answers

Answer:

B

Step-by-step explanation:

0.25 = 1/4 = 5/20

0.35 = 35/100 = 7/20

5/20 + 7/20 = 12/20 = 6/10 = 3/5

Answer:

Step-by-step explanation:

so first you would do 0.25+0.35= 0.6

now put 0.6 into a fraction= 6/10 because 6 is in the 10th place then simplify 6/10=3/5 which to find that you divide each side by 2

Hope This Helped!

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