Which statement justifies that ∠K ≅ ∠N? answers: A) ΔHKL ≅ ΔHMN by ASA; but the two angles aren't congruent because they aren't corresponding angles. B) The two angles aren't congruent. C) ΔHKL ≅ ΔHMN by ASA; ∠K ≅ ∠N because they're corresponding angles in congruent triangles. D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Which Statement Justifies That K N? Answers: A) HKL HMN By ASA; But The Two Angles Aren't Congruent Because

Answers

Answer 1

Answer:

Correct answer is:

D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Step-by-step explanation:

We are given the diagram, in which there are 2 triangles namely [tex]\triangle HLK, \triangle HMN[/tex].

1. Side KH = Side NH

2. [tex]\angle L \cong \angle M[/tex]

From the given figure, we can derive that:

[tex]\angle KHL \cong \angle NHM[/tex]

Property used: Vertically opposite angels made by two lines crossing each other are equal.

So, we have two angles ([tex]\angle L \cong \angle M[/tex] and [tex]\angle KHL \cong \angle NHM[/tex])of the triangle as same and one side equal from the two given triangles [tex]\triangle HLK, \triangle HMN[/tex].

So, we can say that the two triangles are congruent.

[tex]\triangle HLK \cong \triangle HMN[/tex]

The side is not between the two equal angles, so it is AAS congruence.

And Congruent triangles have their corresponding angles equal.

Therefore, option D) is true :

ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N, because they're corresponding angles in congruent triangles.

Answer 2

Answer:

ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

Step-by-step explanation: I took the test


Related Questions

Not sure how to do these problems.

Answers

Answer:

5) 64

6) 39

Step-by-step explanation:

Add.
3x2 - 5x+1
2x2 +9X-6
+
A. 5x2 + 4x + 7
B. 5x2 - 4x + 5
C. 5x2 + 4x-5
D. 5x2 + 14x-5

Answers

Answer:

C

Step-by-step explanation:

3x2 - 5x+1 + 2x2 +9x-6

Combine like terms

5x2+4x-5 which is C

You are welcome and don't for get to click THANKS

The answer is c no cap

At soccer practice, Laurel and Erika stook back to back at the center of the field. Erika ran 20 yards south and 13 yards east. Laurel ran 24 yards north and 18 yards west. Once there, Erika kicked a soccer ball in a straight line to Laurel. How far, to the nearest tenth of a yard, did the ball travel to get from Erika to Laurel?

Answers

The ball traveled 53.9 yards

Write the equation of the line parallel to y = (3/5)x -9 and goes through the point
(-3, 8).
y + 3 = (-3/5)(x +5)

y + 8 = (5/3)(x - 3)

y - 3 = (3/5)(X + 8)

y - 8 = (3/5)(x + 3)

Answers

Answer:

y - 8 = (3/5)(x + 3)

Step-by-step explanation:

if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 4 hours a day.

Answers

Answer:

it would take 8 days

Step-by-step explanation:

all all you have to do is divide 33.45 divided by 4

Answer:

4hrs =33hrs and 45/60

1 day= about 8 days and 1/2

Step-by-step explanation:

WILL GIVE BRAINLIEST AND 100 PNTS!! Which of the tables represents a function? Table A Input Output 5 3 5 2 4 1 Table B Input Output 1 2 3 2 5 3 Table C Input Output 0 0 1 2 1 3 Table D Input Output 4 2 4 3 4 4 Table A Table B Table C Table D

Answers

Answer:

Table B

Step-by-step explanation:

Table A Input Output

                5 3

                5 2

                4 1

Has  an input that goes to 2 different outputs, not a function

Table B Input Output

                 1 2

                 3 2

                 5 3

one to one relation which is a function

Table C Input Output

                 0 0

                 1 2

                 1 3

Has  an input that goes to 2 different outputs, not a function

Table D Input Output

                  4 2

                 4 3

                 4 4

Has  an input that goes to 2 different outputs, not a function

Which word describes the slope of the line?
O positive
O negative
O zero
O undefined

Answers

Answer:

positive

Step-by-step explanation:

the line is tilting up (you read it from left to right)

The slope of the line is, O positive.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

from the given graph,

we get,

the straight line is in the positive direction.

Hence, The slope of the line is, O positive.

To learn more on slope click:

brainly.com/question/3605446

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Amelia had 28 seashells. Then, she collected 11 more seashells. After that, she gave S seashells to her little sister. Which of the following shows how many seashells she has currently?

Answers

Answer:

39 - s

Step-by-step explanation:

she has 28 she finds 11 more (28+11) and she gives s amount away (28+11-s) simplify 39 - s

Find x in the following right triangle.

Answers

Answer: 15

Step-by-step explanation: I used the pythagorean theorem. X is a, 8 is b, and 17 is c. The squares of a and b added together are c. So I got 15.

Answer:

x=15

Step-by-step explanation:

First, you are going to find a Pythagorean Triple. As you can see from the picture you have provided, 17 ft is the longest side. So, I squared 17 and got 289. I did this because I am using the Pythagorean Theorem (a^2+b^2=c^2). Then, I squared 8 and got 64. Then, still following the Pythagorean Theorem, I subtracted 64 from 289. I got 225. Then, I found the square root of 225. I got 15. So, x=15.

the median and mean
PLZ HELP

Answers

Step-by-step explanation:

Data Set A: 14, 21, 24, 28, 28, 35

Data Set B: 18, 19, 21, 25, 29,32

Median:

Data Set A = 26

24 + 28 = 52

52/2 = 26

Data Set B = 23

21 + 25 = 46

46/2 = 23

Mean:

Data Set A = 25

14 + 21 + 24 + 28 + 28 + 35 = 150

150/6 = 25

Data Set B = 24

18 + 19 + 21 + 25 + 29 + 32 = 144

144/6 = 24

help me please i need this done ASAP

Answers

Answer:

20 miles

Step-by-step explanation:

1 : just use the line to trace how long it would be

A quadrilateral has vertices a(-4 -8) b (-2, 34) c(6,12 and d (10, -30). It undergoes the transformation (x,y) to (x/2,y/2).

What is it's scale factor?
What are the coordinates of the new vertices?
What is a dilatation?

(Will give Brainly)

Answers

Answer:

Step-by-step explanation:

scale factor:

1/2

the coordinates of the new vertices are

A (-4/2, -8/2)

A:(-2, -4)

B (-2/2, 34/2)

B: (-1, 17)

C (6/2, 12/2)

C:(3, 6)

D (10/2, -30/2)

D:(5, -15)

I guess the dilation is 2 times bigger?

Which equation is a function of x?
A. x = 5
B. x = y squared + 9
C. x squared = y
D. x squared = y squared + 16

Answers

Answer:

C: X^2= Y

I got it right on Edge

Answer:

Pretty sure its x2 =y

Step-by-step explanation:

the diameter of a circle is 9m. Find the circumference to the nearest tenth (urgent)

Answers

Answer:

Step-by-step explanation:

The answer is 28.27433, or 28.3!

solve the formula for calculating the perimeter of a parallelogram with sides b and c for c p = 2b+2c

Answers

Answer:

Proved;

See Explanation

Step-by-step explanation:

Given:

Shape: Parallelogram

Sides: b and c

Required:

Show that P = 2b + 2c

Let P represents the perimeter of the parallelogram.

There are 4 sides in a parallelogram where 2 sides are opposite and parallel

Given that two of the side of the parallelogram is b and c; this implies that the next two sides are also b and c.

This means that the sides of the parallogram are b,c,b,c

The perimeter of any shape is calculated by adding the lengths of the shape;

This means that

[tex]P = b + c + b + c[/tex]

Collect like terms

[tex]P = b + b + c + c[/tex]

[tex]P = 2b + 2c[/tex] ------ Proved

I just want u guys to check it and see if it is right if it is say it is and if not please correct me and tell me the answer :)



Lesson 1 exit ticket Name

Please make a copy and then work on it, thank you!

1, Fill in the chart converting between fractions, decimals and percents.


Fraction Decimal Percent
⅛ 0.125 12.5%
1245/1000 1.245 124.5%
40/100 .4 ⅖ %

Show your work here.
8 times .125 = 1 that is 12.5%.

1.245 = 1245/1000 which is 124.5%.

⅖% is 40% which equals 0.4 or 40/100




2. Using the values from the chart in problem 1, list them from least to greatest.

12.5%

⅖%

124.5%



Answers

The first two values were calculated, but the 0.4 one is wrong.

2/5% would result to 0.4% which is converted to 0.004 so it's wrong.

40/100 would be reduced to 2/5.

2/5 would result to 0.4.

0.4 means 40%.

If the question intentionally gives 2/5%, then you have to compute it all the way back.

2/5% to 0.4% to 0.004 to 4/1000

I have no clue what part is given but you can get the idea where this is going.

The second one depends on the value in question one.

So Good luck!

Simplify √ 20 x 8 y 9 to the form a √ b .

Answers

Answer:

Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?

A random sample of 48 was taken from a shipment of 10,080 light bulbs from Light Bulbs Express. Out of the 48 light bulbs, 5 were red. How many red bulbs would you expect in the entire shipment?


______________red bulbs (Round answer to the nearest whole number).




A random sample of 62 was taken from another shipment of 15,500 from Light Bulbs R Us. There were 6 red bulbs in the sample. How many red bulbs would you expect in the entire shipment?


_____________red bulbs (Round answer to the nearest whole number)




Which company has the highest ratio of red bulbs in their shipment?


Company ______ (Type either A or B)


Company A = Light Bulbs Express


Company B = Light Bulbs R Us

Answers

Answer:

1. Expected(Red) in Shipment A = 1,050

2. Expected(Red) in Shipment B = 1,500

3. Company A has highest ratio of red bulbs

Step-by-step explanation:

Given

Shipment A (Light Bulb Express):

Total Light Bulb = 10,080

Sample Size = 48

Red Bulbs = 5

To calculate the expected number of Red bulbs;

We start by calculating the probability of Red;

P(Red) = Number of Red / Sample Size

P(Red) = 5/48

Expected Number of Red Bulbs is calculated as follows;

Expected(Red) = P(Red) * Total Light Bulb

Expected(Red) = 5/48 * 10,080

Expected(Red) = 50400/48

Expected(Red) = 1,050

Hence, the expected number of red light bulbs in the entire shipment is 1,050

Given

Shipment B (Light Bulb R Us):

Total Light Bulb = 15,500

Sample Size = 62

Red Bulbs = 6

To calculate the expected number of Red bulbs;

We start by calculating the probability of Red;

P(Red) = Number of Red / Sample Size

P(Red) = 6/62

Expected Number of Red Bulbs is calculated as follows;

Expected(Red) = P(Red) * Total Light Bulb

Expected(Red) = 6/62 * 15,500

Expected(Red) = 93000/62

Expected(Red) = 1,500

Hence, the expected number of red light bulbs in the entire shipment is 1,050

The company with highest probability has the highest ratio;

For Company A (Light Bulb Express)

Probability = 5/48

Probability = 0.1042

For Company B (Light Bulb R Us)

Probability = 6/62

Probability = 0.0968

Since 0.1042 is greater than 0.0968, we can conclude that Company A has the highest ratio of red bulbs;

Which sequence shows a pattern where each term is 1.5 times the previous term?
–4, 6, –9, 13.5, …
10, 15, 25, 40, …
98, 99.5, 101, 102.5 …
–200, –300, –450, –675, …

Answers

Answer:

-200, -300, -450, -675

The geometric sequence which shows a pattern in which each term is 1.5 times the previous term is A = -200 , -300 , -450 , -675 ...

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

A = -200 , -300 , -450 , -675 ...

The common ratio of the GP = second term / first term

On simplifying , we get

r = -300 / -200

r = 3/2

r = 1.5

Therefore , each term is 1.5 times the previous term

Hence , the GP is solved

To learn more about geometric progression click :

https://brainly.com/question/1522572

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What is the median of this data set: 17, 13, 18, 20, 17, 15, 12

A. 19

B. 17

Answers

Answer:

A. 19

Step-by-step explanation:

The median is the middle-point

The middle-point is also the number that is halfway into the set. To find the middle-point, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the middle-point is found by taking the mean (average) of the two middlemost numbers.

please mark me brainliest :)

hi! the answer is a. 19

Find the length of the segment QS.(Enter the just the value, without any units.)

Answers

Answer:

QS = 15

Step-by-step explanation:

Thales

QS/QT = RS/PT

QS = QT·RS/PT

= 20×12/16

= 240/16

= 15

The answer is QS=15 I took a test with it

pls help me this is dur in 10 minutes.​

Answers

Answer:

answer for the question is 1.point R means that the unit rate is $14.00 per pound

help me please <3 thank youu

Answers

Answer:

7,2,3

D

Step-by-step explanation:

951/3 i dot know because it is to hard

Answers

Answer:

317

Step-by-step explanation:

951/ 3 is 317

for this problem you can use a calculator, or long division.

A 10 ft long ladder has one end that leans against a wall and another that rests on the ground 6 feet from the wall. How high on the wall does the ladder rest?

Answers

Answer:

One end of the ladder rests at 8 feet on the wall.

Step-by-step explanation:

In the figure attached,

AC is a ladder 10 feet long leaning against the wall.

Distance of it's one end from the wall = 6 feet

Let the ladder rests on the wall at the height = h feet

By applying Pythagoras theorem in ΔABC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

AC² = AB² + BC²

(10)² = h² + 6²

h² = 100 - 36

h = √64

h = 8 feet

Therefore, one end of the ladder rests at 8 feet on the wall.

Jim rents an apartment in New York City for $1600 a month. Mike rents his apartment in Boston for 7/8 as much. How much more does it cost Jim than it does Michael for rent?

Answers

Answer:

Jim pays 200 more dollars per month than Mike.

Step-by-step explanation:

Jim--> $1600/month

Mike--> 7/8(Jim's rent)

7/8(Jim's rent)

7/8(1600)

= $1400

1600-1400= 200

Jim pays 200 more dollars per month than Mike.

I hope that makes sense!

What is the volume of the solid figure? Enter your answer in the box. A long rectangular prism on top of another shorter rectangular prism. The top prism measures 10 feet by 4 feet by 3 feet. The bottom prism measures 2 feet by 4 feet by 4 feet.

Answers

Answer:

im a say like 104

Step-by-step explanation:

tbh i just geuused imsorry

A city has 4 new houses for every 9 old houses. If there are 28 new houses in the city, how many old houses are there?
A. 61
B. 63
C. 67
D. 65

Answers

The answer is B because 4 X 7 is 28 so 9 times 7 is 63

11. Britney wants to bake at most 0 loaves of bread for a bake sale.
She wants to make banana bread that sells for $1.25 each and
nut bread that sells for $1.50 each and make at least $24 in sales.
Write a system of inequalities for the given situation and
the inequalities.

Answers

Answer:

Look at the attachment

Four cups of water are added to a 20 cup bowl of punch that is 75% juice. What percentage of the new punch is juice?

Answers

Answer:

15%

coz thats the ans

Answer:

The new punch is 62.5% juice.

Step-by-step explanation:

First we find how many cups of juice are in the punch. To do this we take 75% of 20, which is 15. We can confirm 15 is correct by doing 15 / 20 = 0.75, or 75%

Next we add four cups of water, bringing our total amount of cups to 24. We doing the last equation from above except with 24 cups instead of 20.

15 / 24 = 0.625, or 62.5%

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