In the figure below, ∠HFG≈HKJ and ∠HF≈HK

Using the information provided, select the triangle congruence criterion that can BEST be used to prove that
ΔHFG≈ΔHKJ.

A. angle-angle-side (AAS)
B. angle-side-angle (ASA)
C. side-side-angle (SSA)
D. side-angle-side (SAS)

In The Figure Below, HFGHKJ And HFHKUsing The Information Provided, Select The Triangle Congruence Criterion

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

The triangles ΔHFG and ΔHKJ are congruent with each other by ASA postulates. Then the correct option is B.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

In triangles ΔHFG and ΔHKJ, then the condition is given as,

∠HFG = ∠HKJ          (Given)

HF = HK                    (Given)

∠FHG = ∠JHK          (Vertically opposite angles)

The triangles ΔHFG and ΔHKJ are congruent with each other by ASA postulates. Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2


Related Questions

A collection of nickels and quarters is worth $2.10. There are 22 coins in all . How many of each coin
are there?

Answers

Answer:

17 nickels

5 quarters

Step-by-step explanation:

Let n = no. of nickels

22 - n = no. of quarters

Each quarter is 25 cents and each nickel is 5 cents

5n = total amount of money in cents for the nickels

25(22 - n) = total amount of money in cents for the quarters

Since the total amount of money is $2.10 or 210 cents we have the equation

5n + 25(22 - n) = 210

5n + 550 - 25n = 210

-20n + 550 = 210

-20n = -340

n = 17 nickels

22 - n = 22 - 17 = 5 quarters

Now, you don't need to do all that I did.  I explained in detail what is going on in this problem.  All that you would need to do is write this:

let n = no. of nickels

22 - n = no. of quarters      and then write the equation and solve

5n + 25(22 - n) = 210

??                                          OK?

what is the measure of

Answers

Answer:

∠OMP = 76°

Step-by-step explanation:

∠OMP = 180° - 37° - 67° = 76°

plz answer don't send link ​

Answers

Here you go the answer is in the picture

Blueberries or Watermelons:
40% of 50 customers at a grocery store surveyed said they loved blueberries,
and 20% said they loved watermelons, 10% said they loved both.
6) What is the probability that a randomly selected customer likes neither
blueberries nor watermelons: P(-B and -W)?*

Answers

Answer:

30%

This is the only way I know this would make sense

Step-by-step explanation:

40+20+10=70

100-70=30

30%

What is the area of this triangle? A=bh2 17 m² 30 m² 60 m² 120 m² Right triangle with height labeled 12 m, base labeled 5 m, and third side labeled 13 m.

Answers

Answer:

30 m²

Step-by-step explanation:

What is the area of this triangle? A=bh/2 17 m² 30 m² 60 m² 120 m² Right triangle with height labeled 12 m, base labeled 5 m, and third side labeled 13 m.

Area of a triangle = bh/2

b = Base = 5m

h = Height = 12m

Area of the triangle = 5m × 12m/2

= 60m²/2

= 30 m²

Answer:30 m²

Step-by-step explanation:


I need help!!!!, I’m struggling

Answers

Answer:

4yft57

Step-by-step explanation:

bc i said so

HELP ME ASAP PLEASEEEE, EXPLAIN;(

Answers

Answer:

<1=73

Step-by-step explanation:

All triangles add up to 180 degrees!

Add 20 and 87

20+87=107

Subtract 107 from 180

180-107=73

Hope this helps! :)

What is the equation of the line that passes through the point (-1,-7)(−1,−7) and has a slope of 2

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

Put it in point-slope form:

y + 7 = 2(x + 1)

y + 7 = 2x + 2

y = 2x - 5

Help for both of them

Answers

Answer:

1. acute angle with 74°

2. acute angle with 55°

Step-by-step explanation:

any angles less than 90° is acute

any angles that are 90° are right angles

any angles over 90° above are obtuse

Please Help!!!!! Best answer gets Brainliesttttt

Answers

Answer:

hi uhm what am i supposed to figure out?

Step-by-step explanation:

Gina did not use the same ratio as her teacher. I know this because 4:3 is not a simplified version of 9:6. If her teacher were to use a 8:6 ratio then it would’ve been the same.

Find the missing length indicated. (Triangle inequality theorem) please help

Answers

Answer:

Step-by-step explanation:

Oh they are " similar "  triangles, so they are scale copies of each other

for 13)   they are saying those same marks on the sides means those segments are the same lengh.  so the bigger triangle takes 2 same lengths as does the smaller one.    Yes.. that does mean the bigger one is 2 times bigger than the smaller one.   sooo  just multiply that known side by 2 to find BD

so BD = 2 *8

BD = 16  :)

for 14)    same exact thing but in reverse

XY = 1/2 *8

XY = 4  :)

for 15)

I think that there is a line.... from U to V that isn't showing up in the photo,  using your camera for a photo of a screen seems .. hmm redundant.. just push "screen print" then paste what you copied into paint .  then show that pic... no phone cam required.  :? and the pic would be much much better quality.. no missing lines :/

anyway    so if there is in fact a line from U to V  then IK is that same 2 times bigger than UV

IK = 2*4

IK = 8

For 16)  this is getting to be the same thing over and over.. are you getting it? :)

DF = 2 *8

Df = 16

A dodecagon with a radius of 20 inches has an apothem of____ inches and a side length of _____ inches.
what are the length of the apothem and the side length?

Answers

novels about Harry Potter, a boy who learns on his eleventh birthday that he is the orphaned son of two powerful wizards and possesses unique magical powers of his own. He is summoned from his life as an unwanted child to become a student … More
Releas

Write a slope-intercept equation for a line with the given characteristics.
2
m =
passes through (-2,-1)
5

Answers

Answer:

y=-2/5x-9/5

Step-by-step explanation:

M= -2/5

(-2,-1)

y+1=-2/5(x+2)

y+1   = -2/5x-4/5

-1                  -1

y=-2/5x -9/5

You and three friends buy 4 movie tickets. Each person buys a $3 popcorn. The total cost is $72. Letx represent the cost of 1 movie ticket Write an equation for
the total cost

Answers

4x + 12 = 72
Mmhmm yes

jose bought 9 movie tickets for a total of $54. Adult tickets cost $8 each and child tickets
cost $3.50 each. How many adult tickets did he buy?

Answers

well i cant tell because you did not tell me how many kid tickets he bought

Help me with this pls ASAP

Answers

Answer:

90 degrees counterclockwise or 270 degrees clockwise

Step-by-step explanation:

Hope this helps

try B , counterclockwise is negative so it’s going back?

shawty baes please help!! ( no links please!)

Answers

The answer is 3 I just took the test

3/5(a + 5.25) = 7.35 What does a equal

Answers

Answer:

a = 7

Step-by-step explanation:

Let's solve your equation step-by-step.

3/5(a+5.25)=7.35

Step 1: Simplify both sides of the equation.

3/5(a+5.25)=7.35

(3/5)(a)+(35)(5.25)=7.35 (Distribute)

3/5a+3.15=7.35

Step 2: Subtract 3.15 from both sides.

3/5a+3.15−3.15=7.35−3.15

3/5a=21/5

Step 3: Multiply both sides by 5/3.

(5/3)*(3/5a)=(5/3)*(21/5)

a=7

The iron cross is a skiing trick in which the tips of the skis are crossed while the skier is airborne. Find the value of $x$ in the iron cross shown.

A photo shows the tips of the skis crossed each other while performing iron cross in skiing. Two pairs of opposite angles are formed during crossing. One pair of the opposite is labeled 127 degrees and left parenthesis 2 x plus 41 right parenthesis degrees. PS the image is the given degrees! PLLLSS help I am timed and I need to raise my grades!!!!

Answers

Answer:

43 = x

Step-by-step explanation:

well so you have 127 degrees = (2x + 41)

so get the x by itself

127 - 41 = 86

2x + 41 - 41 = 2x

86 = 2x

86 / 2 = 43

2x / 2 = x

43 = x  

The value of x is 43°.

Here,

The iron cross is a skiing trick in which the tips of the skis are crossed while the skier is airborne.

A photo shows the tips of the skis crossed each other while performing iron cross in skiing.

Two pairs of opposite angles are formed during crossing.

One pair of the opposite angle is 127° and (2x + 41)°.

We have to find the value of x.

What is Vertically opposite angles?

The angles opposite each other when two lines cross called Vertically opposite angles.

Now,

Two pairs of opposite angles are formed during crossing.

One pair of the opposite angle is 127° and (2x + 41)°.

Clearly, Both angle are equal;

2x + 41 = 127

2x = 127 - 41

2x = 86

x = 43

Therefore, Value of x is 43°.

Learn more about the vertically opposite angles visit:

https://brainly.com/question/68367

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what is the value of x 5x+35

Answers

Answer:

Step-by-step explanation:

I cannot find the value of x because 5x+35 is an algebraic expression, not an equation.

Fill in the blank with the correct word(s) to complete the sentence.


A three-dimensional figure has ______, width, and _____.


A.
length; height


B.
length; congruent


C.
height; pattern


D.
length; pattern

WHO EVER SOLVES THIS FIRST GETS BRAINLEST >:)

Answers

A. length;height

hope this helps :)

Express the decimal as a fraction

Answers

Answer:

8/9

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Sebastian is making bags of trail mix for hiking club. He will use 21 ounces of walnuts, 10.2 ounces of almonds, and 15.6 ounces of cashews. This amount makes 24 bags of trail mix. How many ounces are in each bag?

Answers

Answer:

1.95 ounces

Step-by-step explanation:

ounces in each bag = total ounces in 24 bags / number of bags

total ounces in 24 bags = 21 ounces of walnuts + 10.2 ounces of almonds + 15.6 ounces of cashews = 46.8 ounces

46.8 / 24 = 1.95 ounces

i need help with this lol

Answers

The answer is A-5c+4

Answer:

Answer is A

Step-by-step explanation:

you first take the same like terms

8c+6-3c-2

8c and -3c are like terms 8c-3c=5c

+6 and -2 are like terms 6-2=4

5c+4

You are organizing a school banquet. You spend $82 on decorations. Dinner will cost $13 for each person that attends. In the equation y=13x+82, y is the total cost of the banquet for x people. Complete the solution (69,?) to find the cost for 69 people.

Answers

Answer:

(69,979)

Step-by-step explanation:

In the coordinates, x is represented as 69. We can now insert this into the equation.

y = 13x + 82

Now to insert x.

y = 13(69) + 82

Now we can multiply 13 by 69.

13*69 = 897

Now fix the equation.

y = 897 + 82

Now add to get our y.

897 + 82 = 979

Substitute into the equation.

y = 979

And there is our answer. We now need to put this into the coordinates.

And we get our final answer of (69,979).

Hope this helps. Have a nice day.

You go to the store and buy some pencils and sweet tarts. ( $.35 per pencil & $.10 per sweet tart) You purchased a total of 15 for $3.25. How many pencils and sweet tarts did you purchase?

Answers

Answer:

7 pencils

8 sweet tarts

Step-by-step explanation:

7*0.35=2.45

8*0.10=0.80

2.45+0.80=3.25

7+8=15

3) Solve the triangle given that a = 15, b = 17, c = 13.

Answers

Answer:

this is not a real triangle

Step-by-step explanation:

(HELP FAST FOR 20 POINTS)
A teacher surveyed the 8th-grade students at her school to learn which sport they prefer to play. The results are shown in the table.

According to the table, which sport do 20% of the students prefer to play?

Answers

Basketball, since the total students surveyed are 350, and 20% of that is 70 which is the amount of students that preferred basketball

Americans consume on average 92 pounds of chicken per year, with a standard deviation of 10.3 pounds. What is the probability that a sample of 50 people will have consumed an average of 100 pounds or more?

Answers

Answer:

0.2187

Step-by-step explanation:

Americans consume on average 92 pounds of chicken per year, with a standard deviation of 10.3 pounds. What is the probability that a sample of 50 people will have consumed an average of 100 pounds or more?

We to find

x ≥ 100 pounds

To solve for the above question, we use the z-score formula

z = (x-μ)/σ, where

x is the raw score = 100 pounds

μ is the population mean = 92 pounds

σ is the population standard deviation = 10.3

Hence:

z = (100 - 92)/ 10.3

z = 8/1.46

z = 0.7767

Probability value from Z-Table:

P(x<100) = 0.78133

P(x>100) = 1 - P(x<100) = 0.21867

Approximately = 0.2187

Therefore, the probability that a sample of 50 people will have consumed an average of 100 pounds or more is 0.2187

Select two verbal statements that represent the algebraic expression below 2w+8

8 more than a number

2 times a number increased by 8

the sum 8 and a number increased by 2

the sum of 8 and twice a number

2 times a number decreased by 8

Answers

Answer:

Hi how are you doing today Jasmine

2 times a number increased by 8
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