Four students were asked to label angles in pairs of triangles. Their drawings are shown below. Tatyanna Triangle A B C. Angle B is 54.3 degrees and angle C is 61.2 degrees. Triangle X Y Z. Angle Z is 64.5 degrees and angle Y is 54.3 degrees.[Not drawn to scale] Simon Triangle A B C. Angle A is 63.2 degrees and angle B is 58.4 degrees. Triangle X Y Z. Angle Z is 63.2 degrees and angle Y is 58.4 degrees.[Not drawn to scale] Anders Triangle A B C. Angle A is 59.8 degrees and angle B is 60.6 degrees. Triangle X Y Z. Angle X is 59.8 degrees and angle Z is 60.6 degrees.[Not drawn to scale] Kai Triangle A B C. Angle B is 60.9 degrees and angle C is 57.7 degrees. Triangle X Y Z. Angle X is 61.4 degrees and angle Z is 57.7 degrees. [Not drawn to scale] Which student labeled the triangles such that Triangle A B C is similar to X Y Z? Tatyanna Simon Anders Kai

Answers

Answer 1

Answer: I’m confident with Kai being the correct answer

Answer 2

Kai labeled the triangles such that ΔABC is similar to ΔXYZ.

What is a triangle?

A triangle is a two-dimensional geometrical figure that has three sides, three vertices, and three interior angles.

As per Tatyanna:

In ΔABC, ∠B = 54.3°, ∠C = 61.2°

Therefore, ∠A = 180° - (54.3° + 61.2°) = 64.5°

In ΔXYZ, ∠Z = 64.5°, ∠Y = 54.3°

Therefore, ∠X = 180° - (64.5° + 54.3°) = 61.2°

As per Simon:

In ΔABC, ∠A = 63.2°, ∠B = 58.4°

Therefore, ∠C = 180° - (63.2° + 58.4°) = 58.4°

In ΔXYZ, ∠Z = 63.2°, ∠Y = 58.4°

Therefore, ∠X = 180° - (63.2° + 58.4°) = 58.4°

As per Anders:

In ΔABC, ∠A = 59.8°, ∠B = 60.6°

Therefore, ∠C = 180° - (59.8° + 60.6°) = 59.6°

In ΔXYZ, ∠X = 59.8°, ∠Z = 60.6°

Therefore, ∠Y = 180° - (59.8° + 60.6°) = 59.6°

As per Kai:

In ΔABC, ∠B = 60.9°, ∠C = 57.7°

Therefore, ∠A = 180° - (60.9° + 57.7°) = 61.4°

In ΔXYZ, ∠X = 61.4°, ∠Z = 57.7°

Therefore, ∠Y = 180° - (61.4° + 57.7°) = 60.9°

Therefore, the sequence and the value of the angles for ΔABC and ΔXYZ matches only with Kai's drawings.

Therefore, as per his drawings, ΔABC and ΔXYZ will look similar.

Learn more about a triangle here: https://brainly.com/question/22483552

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Related Questions

The ratio of the angles in a triangle is 2:3:4. What is the measure of the largest angle?
30°
60°
80°
20°

Answers

Answer:

80

Step-by-step explanation:

you can take the ratio 2:3:4 as

2x + 3x + 4x = 180

9x = 180

x= 20

4(20) = 80

Answer:

D) 20

Step-by-step explanation:

Set up an equation: 2x+3x+4x=180

9x=180

180/9=20

Answer: D) 20degrees

The first company charges 6500 to rent trucks plus an additional fee of 125.50 for each ton of sugar. The second company charges 5597 to rent trucks plus an additional fee of 200.75 for each ton of sugar. For what amount of sugar do the two companies charge the same? What is the cost when the two companies charge the same?

Answers

Answer:

a. 12

b. 8006

Step-by-step explanation:

We have company A, which is determined with the following equation:

A = 6500 + 125.5 * x

where x is the amount of ton of sugar

Same for company B:

B = 5597 + 200.7 * x

We want to know when A = B are equal, therefore:

6500 + 125.5 * x = 5597 + 200.7 * x

200.75 * x - 125.5 * x = 6500 - 5597

75.25 * x = 903

x = 903 / 75.25

x = 12

That is to say that when they are 12 tons of sugar they charge the same.

To know how much the value would be:

A = 6500 + 125.5 * 12 = 8006

B = 5597 + 200.75 * 12 = 8006

That is to say that the value when it is equal is 8006

What is the range 0 -9 -9 -6 -4 -7 -5 -3

Answers

Answer:

9

Step-by-step explanation:

put in order least to greatest

-9 -9 -7 -6 -5 -4 -3  0

9-0=9

range cannot be negative because it is the space between numbers and distance cannot be negative

Answer: The range is 9.

A hair stylist charges $25.00 for a hair cut, plus an 8% sales tax rate. How much change will you receive is you pay $30.00

Answers

Answer:

You will get $3 back

mark me as brainliest pls

Step-by-step explanation:

$25 times 8%= 2

25+2=27

30-27=3

Answer:

$3

Step-by-step explanation:

25*.08=2

25+2=27

30-27=3

Simplify: StartRoot StartFraction 27 x Superscript 12 Baseline Over 300 x Superscript 8 Baseline EndFraction EndRoot

Answers

Answer:

6x squared

Step-by-step explanation:

Answer:

Three-tenths x squared

Step-by-step explanation:

i just did this

HELP GIVING BRAINLIST TO THE COSSECT ANSWER

Answers

Answer:

1. -18-6k=6(1+3k)      k=   -1

2. 5n+34=-2(1-7n)   n=4

3. 2(4x-3)-8=4+2x    x=3

4. 3n-5=-8(6+5n)      n= -1

if i could get brainliest that would be great

Estimate the solution to the system of equations. asap, please!! I will mark for brain list

​7x−y=7

x+2y=6

please have a mixed fraction for both the y and x answers

Answers

Answer:

(1 [tex]\frac{1}{3}[/tex], 2 [tex]\frac{1}{3}[/tex] )

Step-by-step explanation:

Given the 2 equations

7x - y = 7 → (1)

x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

14x - 2y = 14 → (3)

Add (2) and (3) term by term to eliminate y

15x = 20 ( divide both sides by 15 )

x = [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex] = 1 [tex]\frac{1}{3}[/tex]

Substitute this value of x into either of the 2 equations and solve for y

Substituting in (2)

[tex]\frac{4}{3}[/tex] + 2y = 6

2y = 6 - [tex]\frac{4}{3}[/tex] = [tex]\frac{14}{3}[/tex] ( divide both sides by 2 )

y = [tex]\frac{7}{3}[/tex] = 2 [tex]\frac{1}{3}[/tex]

what is the answer ​

Answers

Answer:

the answer would be 256 cm squared (the third option)

Step-by-step explanation:

what that person said ^

Find the distance between (-10,-7),(-8,1)

Answers

Answer:

6.325

Step-by-step explanation:

How do you write 5.58 x 10-3 in standard form?

Answers

Answer:

0.00558

Step-by-step explanation:

What is the volume of a rectangular pyramid, with a height of 12 in., length of 10 in., and width of 8 in.?

72 in3

200 in3

320 in3

960 in3

Answers

Answer:

320 in ^3

Step-by-step explanation:

V=B*h/3      where B=10*8=80 and h=12

V=80*12/3=320 in ^3

AN EQUATION AND AN EQUALITY BOTH ALWAYS HAVE ONLY ONE SOLUTION?


TRUE


FALSE

Answers

The answer is false

Hope this helps :)

Answer:

False

Step-by-step explanation:

Both sides can end up unequal, and by that you end up with two solutions. Hope that this helps you and have a great day :)

Identify the domain and range of each function.

y = 3 • 5x

Answers

Answer:

I THINK the domain is

Negative infinity to infinity

and I THINK the range is..

0 to infinity

Step-by-step explanation:

im not sure im sorry if im wrong : ) hope this helps

Answer:

Step-by-step explanation:

negative infinity to infinity

0 to infinity

pt2

negative infinity to infinity

3 to infinity

What does the expression n+3 represent??

Answers

Answer:

(?) +3

Explanation:

it would be whatever N equals then add 3

Traci tries to teach her younger sister how to draw a rectangle. Traci tells her." Draw a shape with four straight sides." Traci sister draws the shape shown. The drawing of the shape includes 4 straight sides, but it is not a rectangle. How can Traci make her directions more clear?

Answers

Answer:

Traci could say draw 2 long parellel sides one on top of another. Then draw 2 smaller sides to connect the long sides.

Step-by-step explanation:

What is the result of substituting for y in the bottom equation?
y = x + 3
y = x2 + 2x - 4

Answers

Answer:

The correct option is (B).

Step-by-step explanation:

We need to find the result of substituting for y in the bottom equation.

Equation (1) is : [tex]y=x+3[/tex]

Equation (2) is : [tex]y=x^2+2x-4[/tex]

Put the value of y form equation (1) to equation (2) such that,

[tex]x+3=x^2+2x-4[/tex]

It can be seen from the above equation, that option (2) is same as above equation.

Hence, the correct option is (B).

Find the exact length of the third side.
4
2

Answers

Answer:

Step-by-step explanation:

4-2<x<4+2

2<x<6

x = 3, 4  or 5

i assume u r talking about triangle

HELP ME I DON'T UNDERSTAND THIS :(

Answers

Answer:

c

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AD}{WZ}[/tex] = [tex]\frac{CD}{YZ}[/tex] , substitute values

[tex]\frac{10}{46}[/tex] = [tex]\frac{5}{YZ}[/tex] ( cross- multiply )

10YZ = 230 ( divide both sides by 10 )

YZ = 23 → c

Corinne made a deposit of $6,000 into an account with a simple interest rate of 5%. How much interest will be in the account after 8 years?

Answers

Answer:

$8,864.73

Step-by-step explanation:

Base amount: $6,000.00

Interest Rate: 5% (yearly)

Effective Annual Rate: 5%

Calculation period: 8 years

helpppp pls

Members at the Star Theater pay $30.00 per month plus $1.95 for each movie. Nonmembers pay the regular $7.95 admission fee. How many movies would both a member and a nonmember have to see in a month to pay the same amount?

Answers

Each of them would have to see 5 movies to pay the same amount.

Explanation;

Members have to pay $30 a month just to have a lower admission fee. So members already start with a high price. If you add 7.95 together 5 times you get 39.75. This is the same as the members when you add the $30 admission fee to the 5 movies. (30+1.95....). That is how you find that both members and nonmembers will be paying the same amount after both watching 5 movies.

A can of soup has a radius of 6 inches and a height of 10 inches. How much soup can fill the can if it is filled to the top? Place your answer in terms of pi.

Answers

A can of soup is a cylinder. We want to know how much soup can fill the can, which means that we are looking for the volume.

Formula for the volume of a cylinder: V = pi x r^2 x h

V = pi x 6^2 x 10

V = pi x 36 x 10

V = 360pi inches^3

Hope this helps! :)

Factor the quadratic expression x2−13x−48.

Please enter your answer in the box below.

Answers

Answer:

(x-16)(x+3)

Step-by-step explanation:

HELP I WILL MARK BRAINLEST

Answers

its only showing "help i will mark brainliest"..?

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

Step-by-step explanation:

Q1) r = 6 ft

Area of semicircle = πr²/2 = 6*6*3.14/2

Area of shape = 6*6*3.14/2 + area of the rectangle attached.

option 2

Q2)  length of the arc = circumference of the circle /2

       =2πr/2

       = 2 * 3.14 * 6 /2

        =12 * 3.14/2 ft

option 1

Please help What is the value of S4 for
2.48
12.48
16
24

Answers

Answer:

B, 12.48 is the answer

Step-by-step explanation:

Just took the test

Answer:

its b just took the quiz on edge 2020

Step-by-step explanation:

Thank you so very much for helping

Answers

Answer:

Angle 2

Step-by-step explanation:

They are 90 degrees when added together

Answer:

<2

Step-by-step explanation:

Complementary angles add to 90 degrees ( form right angles)

<1 and <2 add to 90 degrees so they are complementary angles

easy please help , check all that apply

Answers

Answer:

a b c d e f

Step-by-step explanation:

all good

yes it’s all of them

The perimeter of a rectangular garden is 48.8 feet it’s length is 12.4 what is it’s width

Answers

Answer:

12 feet

Step-by-step explanation:

Perimeter=l+l+w+w

48.8=12.4+12.4+2w

48.8=24.8+2w

2w=24, w=12 feet

x/4+9=15 I'm doing a math assignment.

Answers

Answer:

x = 24

Step-by-step explanation:

x/4+9=15

Subtract 9 from each side

x/4+9-9=15-9

x/4 = 6

Multiply each side by 4

x/4*4 = 6*4

x = 24

Answer:

[tex]x = 24[/tex]

Step-by-step explanation:

[tex] \frac{x}{4} + 9 = 15 \\ \\ \frac{x}{4} = 15 - 9 \\ \frac{x}{4} = 6 \\ 4 \times \frac{x}{4} = 6 \times 4 \\ x = 24[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

a shirt shop order 1500 shirts. People only bought 1275 t-shirts. what percent of the tshirts were not sold

Answers

Answer:

0.15

Step-by-step explanation:

The total amount of shirts not sold is 225 shirts. The percent of shirts not sold is 225 divided by the total number of t shirts which is 1500. 225/1500 is 0.15. So 0.15 percent of the shirts were not sold.

Hope this helps! (Please mark as brainliest)

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