Which statement describes this pair of congruent triangles? Triangle H K J. Angle H is 58 degrees, angle K is 60 degrees, and angle J is 62 degrees. Triangle L M N. Angle L is 62 degrees, angle N is 58 degrees, angle M is 60 degrees. Triangle H J K is congruent to triangle L M N Triangle H J K is congruent to triangle M L N Triangle H J K is congruent to triangle N L M Triangle H J K is congruent to triangle N M L

Answers

Answer 1

Answer:

(C)Triangle HJK is congruent to triangle NLM

Step-by-step explanation:

In Triangle HKJ

Angle H is 58 degrees. Angle J is 62 degrees.Angle K is 60 degrees

In Triangle LMN (Arranging in the same order as the angles above)

Angle N is 58 degrees.Angle L is 62 degrees.Angle M is 60 degrees.

Therefore, we can say that:

Triangle HJK is congruent to Triangle NLM.

The correct option is C

Answer 2

Answer:C

Step-by-step explanation:


Related Questions

A bolt is to be made a 2.0 CM long with a tolerance of 4%. Set up an equation to solve for the shortest and longest bolt length. Show your original equation and the process used to find the shortest and longest bolt length.

Answers

Answer:

x=2

sx = 2 - (2 x 0.04)

sx = 2 - 0.08

sx = 1.92

lx = 2 + (2 x 0.04)

lx = 2 + 0.08

lx = 2.08

Step-by-step explanation:

If k(x) = 5x-6, which expression is equivalent to (k+k) (4)?

Answers

Answer:

5(4) - 6 + 5(4) - 6

Step-by-step explanation:

k(x) = 5x - 6

(k+k)(x) = 5x - 6 + 5x - 6

(k+k)(4) = 5(4) - 6 + 5(4) - 6

=> Option D is correct

Hope this helps!

The expression is equivalent to (k+k) (4) will be 5(4) - 6 + 5(4) - 6. The correct option is B.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The expression will be solved as below:-

k(x) = 5x - 6

(k+k)(x) = 5x - 6 + 5x - 6

(k+k)(4) = 5(4) - 6 + 5(4) - 6

Therefore, the expression is equivalent to (k+k) (4) will be 5(4) - 6 + 5(4) - 6. The correct option is B.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ6

WILL GIVE BRAINLIEST IF FULL COMPLETE CORRECT ANSWER IS GIVEN.
Sarah has some large, polygon-shaped cardboard cutouts that she needs to sort, because she wants to hang them in her geometry classroom. The first division she needs to make is to divide the regular polygons from the irregular ones. In order to save time measuring all angles and sides of each polygon, and owing to the size and number of sides/angles in each shape, Sarah decides to measure just one angle in each polygon. Consider the following angle measures for polygons A through T, and answer the following questions.
a. If each angle measure represented an exterior measure of its polygon, which of the polygons could be regular? Explain your answers.

b. If each angle measure represented an exterior measure of a regular polygon, name each polygon by using its number of sides. (For any figure with more than 12 sides, just use the number: e.g. 45-gon.)

c. If each angle measure represented an interior measure of its polygon, which of the polygons could be regular? Explain your answers.

d. If each angle measure represented an interior measure of its polygon, which of the polygons do we know are convex? Explain your answers.

Answers

Answer:

  a. ABCDEFHILO

  b. 36- 24- 18- dodeca- nona- octa- hexa- penta- square, triangle

  c. HLNOPQ

  d. ABCD EFGH IJKL MNOP Q

Step-by-step explanation:

a. The exterior angles of a regular polygon have a measure that is 360° divided by the number of sides. If the angle has an integer value, that value must be a divisor of 360°.

Possible regular polygons are ...

  ABCDEFHILO

__

b. A: 36-gon; B: 24-gon; C: 18-gon; D: dodecagon; E: nonagon; F: octagon; H: hexagon; I: pentagon; L: square; O: triangle

__

c. The supplement of a regular polygon's interior angle is equal to 360° divided by the number of sides. That is, the angle's supplement must be a divisor of 360°.

Possible regular polygons are ...

  HLNOPQ

__

d. In order for a polygon to be convex, it can have no reflex interior angles. That is, all interior angles must be at most 180°. Only polygons R, S, T cannot be convex.

Possible convex polygons are ...

  ABCD EFGH IJKL MNOP Q

Answer:

 a. ABCDEFHILO

 b. 36- 24- 18- dodeca- nona- octa- hexa- penta- square, triangle

 c. HLNOPQ

 d. ABCD EFGH IJKL MNOP Q

Step-by-step explanation:

a. The exterior angles of a regular polygon have a measure that is 360° divided by the number of sides. If the angle has an integer value, that value must be a divisor of 360°.

Possible regular polygons are ...

 ABCDEFHILO

__

b. A: 36-gon; B: 24-gon; C: 18-gon; D: dodecagon; E: nonagon; F: octagon; H: hexagon; I: pentagon; L: square; O: triangle

__

c. The supplement of a regular polygon's interior angle is equal to 360° divided by the number of sides. That is, the angle's supplement must be a divisor of 360°.

Possible regular polygons are ...

 HLNOPQ

__

d. In order for a polygon to be convex, it can have no reflex interior angles. That is, all interior angles must be at most 180°. Only polygons R, S, T cannot be convex.

Possible convex polygons are ...

 ABCD EFGH IJKL MNOP Q

The following list gives the first 4 values of a sequence that follows a numerical pattern.

1,-4,-9,-14...

Which is most likely the 10th value in the sequence?

A) -36
B) -39
C) -42
D) -44

Answers

Answer:
d. -44

Explanation:
Step 1 - Find the pattern

1, -4, -9, -14...

Clearly the pattern is adding negative five each time.

Step 2 - Simply continue the pattern until you get to the tenth value

1, -4, -9, -14, -19, -24, -29, -34, -39, -44

Therefore, the tenth value in the sequence is most likely -44.

What is the price of the Ps5 going to be?

Answers

Currently we do not know the price of the PS5 but I believe it will be $550

I think probably $399, if not it can be less than 500 dollars.

Which of the following side lengths are the legs? 6, 14, and 12

Answers

Answer:

The side lengths that are the legs are 6 and 12 because the hypotenuse is the largest side length of a triangle (since there are three side lengths shown).  

Answer:

6 & 12

Step-by-step explanation:

In a right triangle, the greatest side length belongs to hypotenuse, other 2 numbers represent the legs

so as per the given, 14 is hypotenuse ans 6 & 12 are legs

Two roots of a 3-degree polynomial equation are 5 and -5. Which of the following cannot be the third root of the equation ?
0
-5i
-5
5i
5

Answers

Answer:

- 5i and 5i

Step-by-step explanation:

The Fundamental theorem of Algebra states that a polynomial of degree 3 has 3 roots, real and/ or complex.

Complex roots occur in conjugate pairs.

Given 2 real roots x = 5, x = - 5

There cannot be complex roots as they occur in pairs which would result in the polynomial having 4 roots instead of 3.

Find the area of the shape

Answers

It’s a trapezium, so to find the area you do 0.5(a+b) multiplied by the height, a and b being the parallel sides, so it would be 0.5(1+8) multiplied by 24, which is 108. Hope this helps!

Answer ASAP 84.9 66.2 38.2 33.8

Answers

Step-by-step explanation:

You need to use trigonometric stuff here. Since you're given the hypotenuse and an angle you can plug that right into an equation.

Recall that sin is opposite over hypotenuse and cos is adjacent over hypotenuse.

[tex]sin(\theta)=\frac{o}{h} \\sin(30)=\frac{x}{14} \\0.5=\frac{x}{14} \\x=7[/tex]

Now that you know the opposite side (DC) you can use tan, too, but I'm going to use cos.

[tex]cos(\theta)=\frac{a}{14} \\cos(30)=\frac{x}{14} \\\frac{\sqrt{3} }{2} =\frac{x}{14} \\x=7\sqrt{3}[/tex]

This is the adjacent side (BC). I put it in its exact value, but in decimal form it's ≈12.124.

Now you can do the perimeter:

[tex]2l+2w\\2(12.124)+2(7)\\24.248+14\\38.25[/tex]

Your answer is the 38.2

brainliest will be given, plz help me

Answers

Answer:

200,000 x 0.05 = 10,000

200,000 + 10,000 = 210,000

This will be 2015 (210,000)

210,000 x 0.05 = 10,500

210,000 + 10,500 = 220,500

2016

220,500 x 0.05 = 11250

220,500 + 11,250 = 231,750

231,750 should be the value

Hope this helps

Step-by-step explanation:

Pls help will award most brainliest (this is due today)

Answers

i) If PQRS is a quadrilateral inscribed in a circle, then the opposite angles of the quadrilateral are supplementary.

ii) The values of x and y are 120 degrees and 120 degrees respectively.

simplify the expression -1/2 (-5/6+1/3)

Answers

Answer:

1/4

Step-by-step explanation:

-1/2 (-5/6+1/3)

Parentheses first

Get a common denominator of 6

-1/2 (-5/6+1/3*2/2)

-1/2 (-5/6+2/6)

-1/2(-3/6)

Simplify the fraction inside the parentheses

-1/2(-1/2)

Multiply

1/4

Answer:

-1/2(-5/6+1/3)

-1/2(-5+2/6)

-1/2(-3/6)

3/12

1/4

PLSSS HELP WILL BE MARKED BRAINLIEST

Answers

Answer:

We need 232 mL of Compound A

Step-by-step explanation:

We know the ratio

A    : B    : total

4       3      4+3

4      3        7

We want 406

406 /7 =58

Multiply each part by 58

A       : B        : total

4*58    3*58     7*58

232      174       406

We need 232 mL of Compound A

Q5
Below is a triangular prism
14cm
12cm
2 cm
Given that the volume of the prism is 1344cm' work out a
cm go
(2 m
Show me the answer

Answers

Answer:

30cm^3

Step-by-step explanation:

Triangular Prism Volume Formula:

V = b x h

b = base

h = height

5 x 6 = 30

30cm^3

30 cm hope I could help

What is the horizontal asymptote of the graph of f(x) = 4×5^x
options
1.y=0
2.y=20
3.y=4
4.y = 5​

Answers

Answer:

The horizontal asymptote is y=0

A motorist travelled 300 km
at an average
OF 75 km / h In and returned at an average speed of v km / b . if his average speed for the whole journey is 60km/h, find v?​

Answers

Answer:

Step-by-step explanation:

Total distance /total time=total speed

600÷60=10hrs

300÷75=4hrs

I0-4=6

V=300÷6=50km/h

Which expressions are equivalent to x+x+x + 2 ?
Choose 2 answers:

A
3x + 2

B
3 + 2x

C
3(x+2)

D
2(x+1)+x

E
5x

Answers

Answer:

A + D

Step-by-step explanation:

Answer A is three x's (same as original) and answer D, when expanded using the distributive property, equals 2x + 2 + x, which is equal to 3x + 2.

an ostrich is 255 cm.Suppose that you want to make a scale drawing of an ostrich. The scale is 30:1. What height will you make the ostrich in your drawing

Answers

Answer:

The height of the drawing should be: 8.5 cm

Step-by-step explanation:

Use the proportion given by the scale in order to find the height "h" that you need to draw:

[tex]\frac{30}{1} =\frac{255}{h} \\30=\frac{255}{h}\\30\,h=255\\h=\frac{255}{30}\\ h=8.5\,\,cm[/tex]

50g in the ratio 3:2

Answers

Answer:

3+2=5 so the answer is 3/5 multiply by 50

Answer:

Step-by-step explanation:

3+2=5

3/5  x50=30g

2/5 x50=20g

Please Help!! Which graph shows the solution to this system of inequalities?

Answers

Answer:

A. The first graph

Step-by-step explanation:

When you graph these two equations on a graphing calc, you should be able to see one dotted line and one solid, as well as the solutions being mostly in the 1st quadrant.

Which of the following polynomial functions is graphed below?

HELP ASAP!!! Plz!!

Answers

Answer: C

Step-by-step explanation:

A P E X

Answer:

C

Step-by-step explanation:

pls help for brainliest

Answers

Answer:

5.8 cm

Step-by-step explanation:

A= 1/2 x b x h

A=1/2 x 4.6 x 2.5

A=5.75 CM=5.8 cm

Answer:

[tex]5.8 {cm}^{2} [/tex]

Step-by-step explanation:

[tex]area \\ = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 4.6 \times 2.5 \\ = \frac{11.5}{2} \\ = 5.75 {cm}^{2} [/tex]

round to one decimal.

5.8

hope this helps

brainliest appreciated

good luck! have a nice day!

Help me with this math problem please

Answers

Answer:

The relative frequency of event "spin a 3" is calculated by:

F = number of elements/total number of elements

  = 24/50 = 0.48

Hope this helps!

:)

Need help

What’s the answer to number 2??

Answers

Answer:

F. 5(12)(7)

Step-by-step explanation:

V=L×W×H

V=7×5×12

=F. V=5(7)(12)

Find the length of LM. Show your work.

Answers

Answer:

20

Solution,

<N=180-53-44

=83

Apply sines rule,

[tex] \frac{lm}{sin \: 83} = \frac{14}{sin44} \\ lm = \frac{14 \: sin \: 83}{sin \: 44} \\ lm = 20[/tex]

hope this helps..

Good luck on your assignment..

Answer:

LM =20.00356825

Step-by-step explanation:

We will use the law of sines

sin M        sin N  

-------- = ------------

LN             LM

We can find the measure of N since the sum of the angles of triangles is 180

L+ M+ N =180

53+ 44 + N =180

N =180 - 53-44

N =83

sin 44        sin 83

-------- = ------------

14             LM

Using cross products

LM sin 44 = 14 sin 83

LM = 14 sin 83 / sin 44

LM =20.00356825

if i have a spinner with 1 2 and 3 on it whats the probability of landing on 2

Answers

Answer:

the probability is 1/3 because there is 3 numbers, and you only land on 1.

Step-by-step explanation:

:))

Which of the following is equivalent to 18 minus StartRoot negative 25 EndRoot? 5i 18 – 5i 18 + 5i 23

Answers

Answer:

Step-by-step explanation:

[tex]18-\sqrt{-25}=18-\sqrt{i^{2}*5^{2}}\\\\=18-5i[/tex]

Answer: the answer is b

Step-by-step explanation:

If x^2 is added to x, the sum is 56. Which of the following could be the value of x?

Answers

Answer:

-8, 7

Step-by-step explanation:

Set up an equation.

x² + x = 56

Set the equation equal to zero and factor.

x² + x - 56 = 0

(x + 8)(x - 7) = 0

Solve for x.

x + 8 = 0

x = -8

x - 7 = 0

x = 7

The possible x values are -8 and 7.

Sue wants to increase 160 by 4%

She writes down

160 x 1.4 = 224

Sue's method is wrong.


a) Instead of multiplying by 1.4, write down

what she should have multiplied by


Bill wants to decrease 160 by 6%

b) Complete the statement below to show how Bill can decrease 160 by 6%

160 × ___ =___

Answers

Answer:

see explanation

Step-by-step explanation:

An increase of 4% = 104% = [tex]\frac{104}{100}[/tex] = 1.04

Sue should have multiplied by 1.04

(b)

A decrease of 6% = 94% = [tex]\frac{94}{100}[/tex] = 0.94 , thus

160 × 0.94 = 150.4

Step-by-step explanation:

NOTE: Increasing x by p% means multiplying x by (1+p%).

4% = 4/100 = 0.04

then

increase 160 by 4% means multiply 160 by (1+4%)

in other words:

1+0.04 = 1.04

increase 160 by 4% means 160 by 1.04

160×1.04 = 166.4

160×(1 - 6%) = 160×(1 - 0.06) = 160×0.94 = 150.4

what is the inverse of x and y

Answers

Answer:

inverse is opposite so i assume its y and x

Step-by-step explanation:

the opposite of x and y
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Wayne Rogers Corp. maintains its financial records on the cash basis of accounting. Interested in securing a long-term loan from its regular bank, Wayne Rogers Corp. requests you as its independent CPA to convert its cash-basis income statement data to the accrual basis. You are provided with the following summarized data covering 2013, 2014, and 2015.2013 2014 2015Cash receipts from sales:On 2013 sales 293,430 166,990 39,820On 2014 sales 361,040 94,750On 2015 sales 409,660Cash payments for expenses:On 2013 expenses 191,910 68,8703 4,880On 2014 expenses 45,320 a176,560 55,130On 2015 expenses 47,250 b222,210a) Prepayments of 2014 expenses.b) Prepayments of 2015 expenses. From Ozymandias, line 8 reads The hand that mocked them and the heart that fed The underlined word in this passage is most likely referring to ___________________. Question 33 options: a) the vast and trunkless legs b) the viewers of the statue c) these lifeless things d) Ozymandias passions If Aniyah can run 6.5 miles per hour, and she runs for 15 minutes, how far did she go? What literary form is used in A cold fist seemed to grip Salvas heart. a father is 24 years older than his son after two years the father's age will be three times that of his son find their present age What are the zeros of f(x) = x(x - 7)?A. x = 7 onlyB. x = 0 onlyC. x = 0 and x = -7D. x = 0 and x = 7 5{ 10[6 + 2(17 - 8) + 12]} its not possible to reduce reaction times by repeating the same systems of movement over and over true or false Escoge la respuesta correcta.El nuevo ao Aymara celebra _____.el regreso del Inca Capacel nuevo ao fiscalla nueva cosecha de ailel regreso del Sol Justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcases. A number line goes from 0 to 36. Suitcase 1's whiskers range from 4 to 30, and the box ranges from 8 to 12. A line divides the box at 9. Suitcase 2's whiskers range from 2 to 20, and the box ranges from 5 to 18. A line divides the box at 7. Which statement is true about the box plots? The data for suitcase 1 have an outlier, but the data for suitcase 2 does not. The data for suitcase 2 have a greater median than the data for suitcase 1. The data for suitcase 1 has a greater interquartile range than the data for suitcase 2. The data for suitcase 2 has a greater range than the data for suitcase 1. Question 8 *2 points8. In the diagram below of LEO and TAM, angles A and E are right angles, andLEO - TAM.If TM - 12 and MA = 6, what is the measure of angle L, to the nearest degree?1. 272. 303. 604. 63 There are 18 students attending band camp, 4 girls and 14 boys. What is theratio of girls to boys at band camp? PART B: which detail from the text best support the answer to Part A? Manage emotions Which of the following is an odd function?f(x) = 3x+xfx) = 4x^3 +7fx) = 5x^2 + 9f(x) = 6x^3 + 2 What is the relationship between these two paragraphs? Its not easy being a bird, especially when you cant figure out how to fly. That was Donnys problem. No matter how hard he tried, he couldnt lift off the ground. He watched the other birds and tried to imitate what they did, but nothing seemed to help. Summer was almost over, and the leaves were starting to fall off the trees. It would soon be winter, and everyone would be heading south for the summer. Donny didnt want to be left behind, and he didnt want to be a burden. He needed to teach himself to fly once and for all. A. The first paragraph is the exposition, and the second paragraph is the climax of the story. B. The first paragraph describes the conflict, and the second paragraph resolves the problem. C. The first paragraph outlines the plot, and the second paragraph describes the theme of the story. D. The first paragraph describes the main character, and the second paragraph describes the conflict. E. The first paragraph identifies the narrator, and the second paragraph tells about the setting. What can be learned about Greek life from this excerpt?Select five responsesKings ruled over local areas.ard thatat1. In thetheators.scusKings sponsored sporting events.The athletic games were meant to train soldiers.People came to watch the athletic games.O Outsiders could take part in the athletic contests.Discus throwing was a common sporting event.Discus throwing was the most violent of the games how were governor malloys actions courageous Find the prime factorization of 168. Does anyone have the Lab#5 Stimulated Gel Electrophoresis Who Robbed The Bank? Select the correct answers. Which two of the following are ways in which Englands monarchy changed after the Glorious Revolution? The idea of divine right ended in England. Women were not allowed to reign as monarchs. Parliament became the supreme legal body. The House of Lords was abolished. Monarchs faced limits on the length of their reign.