Find the value of the variable that results in congruent triangles for numbers 6 and 8.

Find The Value Of The Variable That Results In Congruent Triangles For Numbers 6 And 8.

Answers

Answer 1

Answer:

x = 28

Step-by-step explanation:

From the figure attached,

AC ≅ FH [Given]

BC ≅ GH [Given]

AB ≅ FG [Given]

ΔABC ≅ ΔFGH [By SSS property of congruence]

Since, m∠A + m∠B + m∠C = 180°

50° + 69° + m∠C = 180°

119° + m∠C = 180°

m∠C = 180° - 119°

m∠C = 61°

m∠C = m∠H [Since, ΔABC ≅ ΔFGH]

(2x + 5)° = 61°

2x = 61 - 5

2x = 56

x = 28


Related Questions

What is the equation of the line that passes through the point (7,−3) and has an undefined slope

Answers

Answer:

The equation of the line that passes through the point (7,−3) and has an undefined slope will have the equation:  x = 7.

Step-by-step explanation:

As the line has an undefined slope, meaning the line is vertical.

As we know that the vertical line passes through (7, -3), so it can never pass through any x-value other than x = 7, although it can pass through infinite y-values.

so the equation of line will be: x = 7

Therefore, the equation of the line that passes through the point (7,−3) and has an undefined slope will have the equation:  x = 7.

What is an equation of the line that passes through the point (-2,-6)(−2,−6) and is parallel to the line x+2y=8x+2y=8?

Answers

Answer:

y=

2

1

x−7

Step-by-step explanation:

uii

Answer:

y=1/2x-7

I know it because the guy who typed the other answer was a idiot

In Carna's desk drawer, there are 16 paper clips and 20 elastic bands. In Noelia's office supply tray, there are 10 paper clips and 13 elastic bands. Who has a lower ratio of paper clips to elastic bands?

Answers

Answer:

Carna has a lower ratio of paper clips to elastic bands

0.2

Step-by-step explanation:

step one

given data

In Carna's desk drawer

number of paper clips 16

number of elastic band= 20

ratio of paper clips to elastic bands

16:20= 1/5 =0.2

Noelia's office supply tray

number of paper clips 10

number of elastic band= 13

ratio of paper clips to elastic bands

10:13= 0.76

Carna has a lower ratio of paper clips to elastic bands

0.2

what is the square root of 16

Answers

Answer:

the square root of 16 is 4

Step-by-step explanation:

Am i right???
plss check and dont lie
will give brainliest

Answers

Answer:

by the looks of it yeah you are

Step-by-step explanation:

help me find x is this question

Answers

Answer:

12.25

Step-by-step explanation:

You have to work it out like if it was a ratio.

basically you need to make 7/x equal to 4/7

to do this you divide 4 by 7 and the divide 7 by the answer. This will make x equal to 12.25

One week, Isabella bought two bags of apples and three bags of oranges. The next week, she bought one bag of apples and two bags of oranges. If a represents the cost of each bag of apples and are represents the cost of each bag of oranges, which expression could Isabella used to calculate the difference between the amount she spent each week?
A: 3a-r
B: 3a-r
C: (2a-3r)-(a-2r)
D: (2a+3r)-(a+2r)

Answers

Answer:

c

Step-by-step explanation:that is the answer

Which of the following in the picture is true about the function f(x) = (x-7)^2 + 9

Answers

Answer:

A).a. The vertex is in quadrant IV and the graph opens down.

Step-by-step explanation:

Can someone help me with 1,2,3

Answers

Answer:

I think its

1. AC=14

2.x=6

3.x=4

Which ones form a square?

Answers

Answer:

the first one

Step-by-step explanation:

Im stuck again I SUCK AT MATH please help!!

Answers

Answer:

2 does not belong

Step-by-step explanation:

We know that 2 cups of orange juice make 3 cups of fruit punch. So 2/3 cups of orange juice makes 1 cup of fruit punch. Due to this, you know that 2/3 belongs.

Problem 1:
1
Define the variable
1. Trini needs more than 51
cubic feet of soil to top up
his raised garden. Each bag
of soil contains 1.5 cubic
feet. Write and solve an
inequality to find how many
bags of soil Trini needs.
2. Write the inequality
B. Solve the inequality
Interpret the solution
d speaker notes

Answers

Answer:

variable or scalar is a storage location paired with an associated symbolic name, which contains some known or unknown quantity of information referred to a

1.

1.5x > 51
X > 51/1.5
X > 34

Trini needs more than 34 bags of soil.

f(1) = 25
(1) =
f(n) = f(n − 1). (-5)
f(3) =

Answers

Answer:

f(3)=1

It is correct

What is the height of the prism shown below?
25
13
7
10

Answers

13 inches is the height

If 5 more than 5 times a number is 20, what is the number?

Answers

Answer:

9

Step-by-step explanation:

20 divided by 5 is 4 plus 5 is 9

n − 23 ≥ 19 solve the inequality

Answers

Answer:

N greater than or equal to 42

Step-by-step explanation:

You have to look at the equation and then add 23 to both of the sides. After you will get 42 and drop down everything.

Does anyone know how to dilate a rectangle by 1/3

Will mark BRAINLIEST!!!!! if possible!

Answers

Answer:

Does this help?

Step-by-step explanation:

The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana splits and also made a total of $156. Which system of equations represents the situation?

Answers

Answer:

[tex]s = 8+b\\2s+3b=156[/tex]

Step-by-step explanation:

To find which systems of equation represents the situation, we can break down the key information and create two variables:

Variables:

Let [tex]s[/tex] = number of sundaes sold.

Let [tex]b[/tex] = number of banana splits sold.

Given information:

Sundae: [tex]\$2[/tex]

Banana Splits: [tex]\$3[/tex]

8 more sundaes sold than banana splits. This can be expressed by [tex]s=8+b[/tex].

Total sold was [tex]\$156[/tex]. This can be expressed as [tex]2s+3b=156[/tex].

∴ The systems of equation that expresses this situation are [tex]s=8+b[/tex] and [tex]2s+3b=156[/tex].

Hope this helps :)

I start with 100 and subtract 3 repeatedly. (100 - 3, 97 - 3, 94 - 3 and so on). How many subtractions would I have to do to get the FIRST single-digit number?

Answers

31!!!
3(31)=93
100-93=7

Using an arithmetic sequence, it is found that you would need to do 32 subtractions

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem:

Starts with 100, which is the first term, hence [tex]a_1 = 100[/tex].Subtracts 3, which is the common difference, hence [tex]d = 3[/tex]

Then:

[tex]a_n = a_1 + (n - 1)d[/tex]

[tex]a_n = 100 - 3(n - 1)[/tex]

[tex]a_n = 103 - 3n[/tex]

To get a single-digit number, we need that:

[tex]a_n \leq 9[/tex]

Hence, solving the inequality:

[tex]103 - 3n \leq 9[/tex]

[tex]-3n \leq -94[/tex]

[tex]3n \geq 94[/tex]

[tex]n \geq \frac{94}{3}[/tex]

[tex]n \geq 31.3[/tex]

Rounding up, 32 subtractions need to be done.

A similar problem is given at https://brainly.com/question/23842987

Multiply (3x2 + y2) by (x2 + 2y2)​

Answers

Answer:

3x^4 + 7x^2y^2 + 2y^4

Step-by-step explanation:

(3x^2 + y^2) (x^2 + 2y^2)

3x^4 + 6x^2y^2 + x^2y^2 + 2y^4

3x^4 + 7x^2y^2 + 2y^4

-TheUnknownScientist

A function is defunded by f(x)=x/4. What is f(-8)?
pls help :(

Answers

-8 is what you are inputting, or the replacement for x in this function. all you gotta do it divide it by 4 to get -2.

Will give brainliest screenshot Will give brainliest screenshot Will give brainliest screenshot Will give brainliest screenshot attached

Answers

Answer:

one 5 and 2 ones hope this will help u

Answer:

One and five should be the answer.

I WILL GIVE BRAINLIEST!!!!

Answers

Answer:

the top right is 18 and the bottom middle is  5 there are 18 apples in a group that has 10 pears.

Step-by-step explanation:

ratio

Please help me!!!!! I’m confused

Answers

The negative sign on an exponent means the reciprocal. Think of it this way: just as a positive exponent means repeated multiplication by the base, a negative exponent means repeated division by the base.

Answer:

means you divide.

Step-by-step explanation:

A positive you would multiply and a negative you divide.

Does that make sense>

PLEASE GIVE ME AN ANSWER QUICKLY! Hiroshi spends 30 minutes on history homework , 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?

A. 1/4 (x+30+60)=x

B. 1/4 (x)=x(30+60)

C. 1/4x(30+60)=x

D. 1/4(x)=(30+60)

Answers

Answer:

A

Step-by-step explanation:

He spends:30 mins on History60 mins on Englishx mins on mathso the total time he spends is [tex](TotalTime)minutes=(30+60+x)minutes[/tex] one fourth of this is his math time, since x is math time, then we have [tex]\frac{1}{4}(TotalTime)minutes=(x)minutes[/tex] But we know what totaltime in minutes is so [tex]\frac{1}{4}(30+60+x)minutes=(x)minutes[/tex] or simply: [tex]\frac{1}{4}(30+60+x)=x[/tex]

Sometimes, people have a pet house mouse. If a mouse could travel at top speed, running 20.25 miles in 2.5 hours, how far could It travel In one hour?

Answers

Answer:

8.1 miles

Step-by-step explanation:

You have to divide

give the new coordinates. Square WXYZ with vertices W(1,7), X(6,5),
Y(4,0), and Z(-1, 2): (x, y) = (x-7, y-6)

Answers

Given:

The vertices of square WXYZ are W(1,7), X(6,5),  Y(4,0), and Z(-1, 2).

Consider the rule of transformation is [tex](x, y)\to (x-7, y-6)[/tex].

To find:

The new coordinates.

Solution:

We have,

[tex](x, y)\to (x-7, y-6)[/tex]

Using the above rule of transformation, we get

[tex]W(1, 7)\to W'(1-7, 7-6)=W'(-6,1)[/tex]

[tex]X(6, 5)\to X'(6-7, 5-6)=X'(-1,-1)[/tex]

[tex]Y(4, 0)\to Y'(4-7, 0-6)=Y'(-3,-6)[/tex]

[tex]Z(-1, 2)\to Z'(-1-7, 2-6)=Z'(-8,-4)[/tex]

Therefore, the new vertices are W'(-6,1), X'(-1,-1), Y'(-3,-6) and Z'(-8,-4).

A rectangle has a perimeter of 38+x 38+x centimeters. The rectangle has a length of 3x−2 3x−2 centimeters and a width of x centimeters. What is the length of the rectangle? A. Substitute the dimensions of the rectangle info the perimeter formula P=2w+2l P=2w+2l b. Solve for x. C. Find the length of the rectangle.

Answers

Answer:

The length of the rectangle is 6 centimeters

Step-by-step explanation:

The perimeter of a rectangle =

P = 2L + 2W

A rectangle has a perimeter of 38+x centimeters. The rectangle has a length of 3x−2 centimeters and a width of x centimeters.

Hence:

38 + x = 2(3x - 2) + 2(x)

38 + x = 6x - 4 + 2x

Collect like terms

38 + 4 = 6x + 2x - x

42 = 7x

x = 42/7

x = 6 centimeters

The length of the rectangle is 6 centimeters

Jane made a mistake when writing down a mutliplication , and she multiplied by 54 instead of 45. Her answer was 198 more than it should have been. What number did she multiply 54 by?

Answers

Answer:

22

Step-by-step explanation:

Given that:

Let number multiplied by 54 = x

Let output = y

x * 54 = y + 198

x * 45 = y

54x = y + 198 - - - (1)

45x = y - - - (2)

Put y = 45x in (1)

54x = 45x + 198

54x - 45x = 198

9x = 198

x = 22

Number multiplied by 54 is 22

SOMEONE PLZ HELP! ALSO DONT SPAM!

Answers

Answer

A : (1,-5)

Explanation

Dude, I'm pretty sure the stuff is used to throw you off. Just find the coordinates.

Answer:

A : (1,-5)

Step-by-step explanation:

Other Questions
Find the value of x and yPlease help me. Thank you WHICH SENTENCE STATES THE WRITER'S CLAIM: (1) Is your computer acting up? (2) Have your efforts to fix it been useless? (3) Are you unsure of who to call? (4) Well, we're here to help. (5) Kayser Computer Care is the best choice to fix your computer woes. (6) Our technicians are incredibly experienced, and our rates are astoundingly reasonable. SENTENCE 1 SENTENCE 2 SENTENCE 5 SENTENCE 6 What important action did president Lincoln take after the battle of Antietam?What did the emancipation proclamation do?Why did Lincoln wait until after the battle of Antietam to issue the emancipation proclamation?Why was Maryland so important to the union cause?What is the connection between the Declaration of Independence and the emancipation proclamation? How did emancipation proclamation change the focus of the war efforts from the union point of view? 7. Diane flew home from vacation with a heavy bag. With the first airline she 1 pointflew, Diane had to pay $14 to check her bag, plus $26 for every kilogramthat her bag was over the weight limit. The next flight was with anotherairline that had the same weight limit. Diane had to pay $9 per kilogramthat her bag was over the weight limit, in addition to the checked bag feeof $31. By coincidence, the fees ended up being the same with bothairlines. Write a system of linear equations to represent the situation. *Your answer PLS HELP ASAP IW ILL GIVE BRIANLEST IF RIGHT DO NOT ANSWER UNUSEFUL ANSWERS Where did Frankenstein live and what did he learn while he was there what is the distance between the points (-4 -8) and (10 -8)? Whats the American Dream? three paragraphs Adding and removing energy can change the physical properties of a substance.A) trueB) false BRAINLIST look at the picture for question pls need help Write down the two prime numbers after 47 Bob and Cheryl are taking a road trip that is 183.60 miles Bob drove 3/4 of the total distance.How many miles did Bob drive? PLEASE HELP!!!!!!!Which line from Clemente's Impact Wanes in Puerto Rico 40 Years after His Death by Jorge Ortiz provides evidence that Roberto Clemente was a superior baseball player?His name is attached to an arena, a stadium in his native municipality of Carolina and an avenue, as well as this year's winter league baseball tournament.But when it was confirmed that favorite son Roberto Clemente was the one who'd died, an indescribable grief enveloped nearly everybody in Puerto Rico.Three months before, we had been riveted by Clemente's pursuit of his 3,000th hit, a feat he accomplished on the last weekend of the 1972 season with the Pittsburgh Pirates.Throngs rushed to the coastal area near the airport from which the plane had taken off, overloaded with relief supplies Clemente wanted to make sure reached the victims of an earthquake in Nicaragua.HELP PLEASE!!!!! Can anyone help me please will mark branliest if right how did early civilizations use terrace farming affect the environmentA: It connected many small rivers for irrigationB: It created flat areas on steep hills and mountainsC: It drained nutrients from soilD: It stopped large rivers from flooding Which of the following is most likely to occur at a convergent boundary?A: Mountain formationB: Seafloor spreadingC: FaultsD: Mid-Atlantic rift True or False: The biggest cause for the Mexican War between the United States &Mexico was the annexation of Texas to the United States,A. TrueB. False How would you compare the lives of poor people living in the low-income nations of the world with those in central cities and rural areas of the United States? In what ways are their lives similar? In what ways are they different? Label B-L in the diagram below What carnivores live in extreme heat and cold?