Which triangle drfined by the given points on the coordinate plane is similar to the triangle illustrated? ​

Answers

Answer 1

Answer:D.) (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:The length of the horizontal segment of the triangle graphed is 3.  The length of the vertical segment of the triangle graphed is 2.  Using the Pythagorean theorem, this makes the length of the missing side

2²+3²=c²

4+9 = c²

13=c²

√13 = c

This makes our side lengths 2, 3, and √13.

For choice A our vertices are (-1, 1), (-1, 4), (-6, 1).

This makes the length of the horizontal segment 5 and the length of the vertical segment 3.  This makes the missing side length

5²+3²=c²

25+9=c²

34=c²

√34 = c

This is not proportional to the triangle drawn, so it is not similar.

The vertices of the triangle in option B are (-1, 1), (-1, 5), and (-6, 1).  This makes the horizontal segment 5 units long and the vertical segment 4 units long.  This makes the missing side length

4²+5²=c²

16+25=c²

41=c²

√41=c

These are not proportional to the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice C are (-1, 1), (-1, 4) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 3.  This makes the missing side length

3²+6²=c²

9+36=c²

45=c²

√45=c

3√5=c

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice D are (-1, 1), (-1, 5) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 4.  This makes the missing side length

6²+4²=c²

36+16=c²

52=c²

√52=c²

2√13=c

These sides are all twice as long as the sides of the triangle drawn; this means the triangles are similar.


Related Questions

Carlton has a job offer for a position as a telemarketer. The job pays $60 per week, plus a
$15 commission for each sale he makes. How many sales would Carlton have to make in
a week in order to earn $240?

Answers

Answer:

He would have to make 12 sales a week in order to make $240

Step-by-step explanation:

So every week the job pays him $60

And $15 more every sell he makes So 15x12=180

So if he  makes 12 sells in a week he will make $180 dollars.

Plus the 60 the job pays him every week

So 180+60=$240

Is the relation a function?​

Answers

Answer:

No it is not because of the 3 it is repeating and it is not a function

Step-by-step explanation:

What does the zero on a graph represent

Answers

Answer:

the origin

Step-by-step explanation:

Answer:

The origin

Step-by-step explanation:

(0,0) is often called the origin.

Does anyone know the answer to this please
I’m stuck on it .

Answers

Answer:

a=1/4

b=1/8

c=1/81

Source:trust me bro

Billy ate 5/4 pizzas and John ate 5/3 pizzas. How much more pizza did John eat than Billy?

Answers

Answer:

5/12 pizza

Step-by-step explanation:

Cynthia says that the expression
2(3x + 4) is equivalent to the expression
6x + 8. Is Cynthia correct?

Answers

yes Cynthia is correct

curved surface area of half cylinder​

Answers

Answer:

curved surface area of half cylinder is

Step-by-step explanation:

πr2h

Answer:

Area of half cylinder is

Step-by-step explanation:

πr2h

SOLVE THIS PROOF PLEASE

Answers

Answer:

wait what are you trying to find i-

Step-by-step explanation:

in having trouble can someone help me please

Answers

Answer:

-19

Step-by-step explanation:

Input -6 for n and solve: 3(-6)-1

Answer:

-19

Step-by-step explanation:

3 (-6) - 1 = -19

The problem could also solved using the ___formula?

Answers

Answer:

right,correct can be used here

Your grandmother is worried about the heat during the family reunion picnic yesterday between 10 am and noon the temperature rose 6 degrees then between noon and 3pm it rose 4 degrees what was the average rate of increase in temperature between 10am and 3pm

Answers

Answer:

Average rate of temperature increase is 2 degrees per hour

Step-by-step explanation:

Here, we want to calculate the average rate of increase in temperature

From what we have above, we can calculate this by dividing the total temperature rise by the number of hours

The total temperature rise is 6 + 4 = 10 degrees

This means that the temperature rose by 10 degrees between 10 am and 3 pm

The number of hours between 10 am and 3 pm is 5 hours

So the average rate of temperature increase is 10 degrees/ 5 hours = 2 degree per hour

find the slope of each line

y = 2x - 2

y = 7/3x + 2

2x + y = -5

4x - 5y = -20​

Answers

Answer: first one is  2 second one is not linear the 3rd one is -2 and the 4th one is 4/3

Step-by-step explanation: use the equation y=mx + b u dont have to find anything the slope is already given to you

Find the median for the given sample data. The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below. 24 26 24 27 27 24 29 26 34 30 30 28 23 30 24 19 14 26 26 26 Find the median number of vehicles going through the line in a fifteen-minute period.

Answers

Answer: 26

Step-by-step explanation: You would order the numbers from least to greatest, then find the middle number of the set.

14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34

PLEASE HELP i really need the answer asap

Answers

Answer:

its 16

Step-by-step explanation:

8 /x = 10/20

20 * 8 =160

10 * x =10x

10x = 160

x=16

The answer is
X is 16

Who has
✨ A n x i e t y ✨

Answers

Answer:

yupyup

Step-by-step explanation:

been having it for years now

#12, what is this answer ?

Answers

Answer:

joan chris martin sara

Step-by-step explanation:

please please help im gonna fail​

Answers

   .       ...........................................

          .........

                                 .

Answer:

lol bro I'm failing too. Maybe it's a

Write an equivalent expression for 7 + 5 k minus 2 minus 3 k + n. Which statements are true about the steps for writing the equivalent expression? Check all that apply.
Combine the constant terms by adding 7 and –2.
The equivalent expression is 9 + 3 k.
n, 5 k, and negative 3 k are like variable terms.
Combine the like variable terms by adding the coefficients.
5 k and negative 3 k are like variable terms.
The constants 7 and –2 are like terms.
The equivalent expression is 5 + 2 k + n.

Answers

Answer:

Shown Below

Step-by-step explanation:

7+5k-2-3k+n

If you combine like terms, you should get 5+2k+n.

Combine the constant terms by adding 7 and –2.Combine the like variable terms by adding the coefficients.5 k and negative 3 k are like variable terms.The constants 7 and –2 are like terms.The equivalent expression is 5 + 2 k + n.

how many natural numbers from 78 to 24?

Answers

54 numbers is the answer

I alway get this wrong idk how pls help

Answers

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the total earned is d

you earn $4 after each hour (x), so you multiply

xoxo, your highness...

Which of the following equations have no solutions?

Answers

Answer:

A

Step-by-step explanation:

If the variable quantities are the same, but the constants are different, then that equation has no solutions.

Please help!
3 3/4 = r + 1/8

Answers

Answer:

r = 29/8 or 3 5/8

Step-by-step explanation:

so you need to make them have the same denominator so you multiply 3/4 by 2/2 to get that

this equals 6/8

add 3 so 24/8

then you subtract 1/8 from both sides

r = 29/8

simplify so 29/8 = 3 5/8

solve for "x" : 2x + 3x + 4x =36​

Answers

Answer:

4

Step-by-step explanation:

2x + 3x + 4x = 36

Evaluate like terms.

9x = 36

Find x.

x = 36 ÷ 9

x = 4

Answer:

b) 4

Step-by-step explanation:

2x+3x+4x=36

=5x+4x=36

=9x=36

x=36/9

x=4

Write a compound inequality that represents the following phrase.
all real numbers that are between -4 and 8

A. -4< n<8 B.-4< n< 8
........._................._.. _
C.-4<n< 8 D.-4<n<8
............_​

Answers

Answer:

A. -4< n<8 B.-4< n< 8

Step-by-step explanation:

Answer:

D.-4<n<8

Step-by-step explanation:

help 20 points btw............

Answers

you would do base times height

In 2/3 divided by 4/5 the____ is 2/3 .

Answers

Answer:

Numerator

Step-by-step explanation:

2/3 / 4/5. 2/3 is the numerator of the compound fraction.

which is it please help ill give kisses

Answers

Angle E is congruent to angle C so the answer is C

Answer:

I think the answer is C

Step-by-step explanation:

Convert 6 4/5 into improper fractions.

32/6
32/5
33/5
36/5

Answers

Answer: 34/5

Step-by-step explanation:

Solve (v +3) - 44 = 0, where v is a real number.

Answers

the answer to your question is v=- 41

Answer: V = 41

Explanation in the photo below

Find the value of x (Round to the nearest tenth)


Pls pls help!!!!

Answers

Answer:

28.32

Step-by-step explanation:

using the formula [tex]a^{2} +b^{2} =c^{2}[/tex], you get [tex]21^{2} +19^{2} =c^{2}[/tex].

then you get [tex]441+361=802[/tex]

your answer needs to be the square root of 802.

the square root of 802 is 28.319604517

Which rounded to the nearest tenths is 28.32

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