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

Plz help me answer this

Answers

Answer:

(-2, -8)

x = -2

y = -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

13x - 6y = 22

x = y + 6

Step 2: Solve for y

Substitution

Substitute in x:                              13(y + 6) - 6y = 22Distribute 13:                                 13y + 78 - 6y = 22Combine like terms:                      7y + 78 = 22Isolate y term:                                7y = -56Isolate y:                                         y = -8

Step 3: Solve for x

Define original equation:                    x = y + 6Substitute in y:                                     x = -8 + 6Add:                                                      x = -2

Amita's kitchen is rectangular with an area of 3 3 4 square meters. The width of the kitchen is 1 1 2 meters. What is the length, in meters, of Amita's kitchen?

Answers

Answer:

2 1/2 meters

Step-by-step explanation:

Amita's kitchen is rectangular with an area of 3 3 /4 square meters. The width of the kitchen is 1 1/ 2 meters. What is the length, in meters, of Amita's kitchen?

The formula for the area of a rectangle = Length × Width.

To find the length our formula becomes : Area/Width

In the question,

Area = 3 3/4 m²

Width = 1 1/2 m

Length of the rectangular kitchen

= 3 3/4 m² ÷ 1 1/2 m

= 15/4 m² ÷ 3/2 m

= 15/4 m² × 2/3 m

= 5/2 m

= 2 1/2 m

The length of the rectangular kitchen is 2 1/2 meters

Anna has more money than Betty. If Anna gave Betty $200, then they would have the same amount of money. While if Betty gave Anna $220, Anna would then have twice as much as Betty. Calculate the amount of money each girl has using the substitution method

Answers

Answer:

Anna has $1460

Betty has $1060                                                      

Step-by-step explanation:

let Anna's money be x

and Betty's money be y

If Anna gave Betty $200, then they would have the same amount of money

Anna's money will reduce by 200

x=x-200

Betty's money will increase by 200

y= y+200

if they have the same amount of money, the difference will be zero

x-200=y+200

x-200-y-200=0

x-y-400=0

x-y=400--------------1

this means that Anna has $400 more than Betty

if Betty gave Anna $220, Anna would then have twice as much as Betty.

Betty's money will reduce by 220

y=y-220

Anna's money will increase by 220

x=x+220

Anna's money will double that of Betty's

x+220=2(y-220)

x+220= 2y-440

x=2y-440-220

x=2y-660--------------------2

put x= 2y-660 in eqn 1

(2y-660)-y=400-------------------------1

2y-y=400+660

y= 1060

so Betty has $1060

put y= 1060 in eqn 1

x-y=400

x-1060=400

x=400+1060

x=1460

so Anna has $1460

A wire is needed to support a vertical pole 4 feet tall. The cable will be anchored to a stake 3 feet from the base of the pole. How
much cable is needed?
4 ft
3 ft
A cable of length
feet is needed.
Enter your answer in the answer box.

Answers

Answer:

I think its 5 feet

Step-by-step explanation:

I used Pythagorean theorem

marking brainliest to whoever gives me the right andwe

Answers

-1 + 14x = 12x +17
x = 9


+Which number should you put in question mark ?
53 (3) 59
92 (4) 98
34 (2) 38
71 (?) 79

+Answer
A : 1
B : 5
C : 7
D : 9
E : no answer



Answers

Answer:

what is this I can't understand???

Identify the correct definition of the term. Angle​

Answers

Answer:

In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.

Step-by-step explanation:

Can someone one help me

Answers

Answer:

28

Step-by-step explanation:

what you do is add 39 plus 74

that answer will give you 113 so then you subtract 180 from that

then you get 67, then what you do is subtract 39 and you would get 28

x = 28

A school lunch program serves 13,000 students. The program orders 3,250 pounds of chicken for the students. Determine how many pounds of chicken each student can have.​

Answers

Answer:

0.25 or 1/4

Step-by-step explanation:

easy - 3250 pounds divided by 13000 students

everyone will get 0.25 or 1/4 of a pound of chicken

hope this helps!!

Have a nice day!

Solve 2x>8 or 2x< 4. ​

Answers

Answer:

2x=8

x=8/2

x=4

2x=4

x=4/2

x=2

Which of the following functions is quadratic?

Answers

Answer:

A

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

Please help easy ten points.

Answers

Answer:

Yes

Step-by-step explanation:

i believe they are all yes.


A bag contains 5 cherry, 8 orange, 2 grape, 7 bubblegum, and 3 apple
lollipops. What is the probability of choosing grape for your first lollipop
and orange for your second? (if you ARE replacing it) *
1/75
2/75
10/625
16/625

Answers

Answer:

16/625

Step-by-step explanation:

Step one:

sample space

A bag contains

5 cherry,

8 orange,

2 grape,

7 bubblegum, and

3 apple  lollipops.

sample size= 5+8+2+7+3= 25

Required:

The probability of choosing grape for your first lollipop

and orange for your second?

1. The probability of choosing the grapes lollipops

=2/25

2. the probability of choosing the orange  lollipops----Note in the second choice the sample size will reduce because the first choice was done with out a replacement

=8/24

The total is

2/25*8/25= 16/625

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

Answers

I believe it’s 315 inches
180 x .75 = 135 then add that to 180
So, 180+135 = 315

(Use Solving Systems by Graphing to find a solution for this question)
One cellphone provider DU charges AED10 per month plus an activation fee of AED20. A second cellphone provider ETISALAT charges AED11 per month plus an activation fee of AED15. For what number of months is the cost of either cellphone provider the same?

Answers

Answer:

5 months

Step-by-step explanation:

One cellphone provider charges AED10 per month plus an activation fee of AED20.

If I used the services of this cellphone provider for x months, total charges for the services,

y = 10x + 20 --------(1)

Similarly, charges for the second cellphone provider for x months of uses will be,

y = 11x + 15 -------(2)

Input-output table for equation (1)

x      1           2            3            4            5

y     30        40         50          60          70

Input output table for equation (2)

x      1           2            3            4            5

y     26        37          48          59         70

From these tables, we find (5, 70) is a common point for both.

It reveals that after the uses of 5 months charges for both the cellphone providers will be same (y = $70)

someone please help! i need this answer!

Answers

Answer:

C

Step-by-step explanation:

Answer:

(b)

Step-by-step explanation:

triangle vertices for A(-3,6)B(-5,4)C(-1,1)​

Answers

Answer:

we can't graph for u on brainly sorry.

You and your friends want to take a vacation to florida. The 5 of you will split the cost of the trip evenly. Each person has said that they would chip in up to $600 for the trip. What amounts represent possible total costs of the trip?

Answers

Answer:

[tex]Total\ Cost = \$3000[/tex]

Step-by-step explanation:

Given

[tex]Individuals = 5[/tex]

[tex]Cost = \$600[/tex] --- per individual

Required

Determine the total costs

Since each individual brings the same amount.

The total cost is calculated as follows:

[tex]Total\ Cost = Cost * Individuals[/tex]

[tex]Total\ Cost = \$600 * 5[/tex]

[tex]Total\ Cost = \$3000[/tex]

PLEASE PLEASE PLEASE!!
Jonathan and his band want to record and sell CDs. The recording studio charges an initial set-up fee of $250, and it charges $6.00 to burn each CD.
a) Define the variables:
Let n = _______
Let C = _______

Answers

Answer:

C=CD N=RS

Step-by-step explanation:

Meg is a veterinarian. She found that 10,or 33%,of the dogs she saw this week were boxers. Steve is also a veterinarian. He found that 4 of the 20 he saw this week were boxers. Does each person need to find the​ part, the​ whole, or the​ percent?

Answers

the part not the whole

11. The number of students in Madison Elementary School increased from 365 students last year to 397 students this year. What was the percent of increase in the student population?

10 POINTS FOR ANSWERING WITH EXPLANATION​

Answers

Answer:8.76712328...%

Step-by-step explanation:

1.Find the increase in students. 397-365=32

2. Take the ratio and put it into percent. 32/365=x/100

3. Cross multiply. 32 x 100=365x

4.Solve. X=8.76712328...%

It is repeating forever like this.

8.767123287671232876712328

The produce department of a grocery store sold 288 pounds of tomatoes. The rest spoiled and had to be discarded. The amount that spoiled represented 28% of the shipment the store received. How many pounds of tomatoes were originally received?

Will mark brainliest

Answers

Answer:

369

Step-by-step explanation:

28% 0f 288=80.64

228lbs sold + 80.64(Round off)  =81 = spoiled =369

Solve the proportion 20 over three equals ? / 6

Answers

20/3 should equal 6 2/3
This is worded kind of weird but I think it would be 40/6 because to get from 3 to 6 you multiply by 2 so you do the same to the top to get

40/6

Pleas help me on this

Answers

Answer:

3x

Step-by-step explanation:

x+x+x

=3x

if i am wrong than sorry

I think 3x I’m not completely sure tho!

use the distribute property to rewrite the following expression (6+15). your final answer should be in the form _(_+_).

what's in the blanks? ​

Answers

Answer:

3(2+5)

Step-by-step explanation:

The common number that both 6 and 15 can be divided by is 3

3x2=6 and 3x5=15

What's the value of 6.8(98.44−84.29)+33.1??

Answers

Answer:

129.32

Step-by-step explanation:

You multiply 6.8 by both values in the parenthesis and then subtract that number and lastly, take that value and add it to 33.1 which equals 129.32

129.32 hope this helps.

Chad worked for 4 3/5 hours and earned $34.73.

How much would he make if he worked for 6 1/5 hours?

Enter your answer in the box.

$

Answers

Answer:

2.3

Step-by-step explanation:

please help !!

find the slope of the line through each pair of points ( -5, 10) , (-16, 8)

Answers

Answer:

-2/11

Step-by-step explanation:

y2-y1/x2-x1

8-10 / -5 -(-16)

-2/-5 + 16

-2/11

6x +1.5x = 2
What is x=

Answers

Answer:

[tex]\boxed{x=\frac{4}{15},~0.2667}[/tex]

Solution Steps:

______________________________

1.) Combine 6x and 1.5x:[tex]6x+1.5x=7.5x[/tex]

 - You combine since these are like terms.

Equation at the end of Step 1:

[tex]7.5x=2[/tex]

2.) Divide both sides by 7.5:[tex]7.5x[/tex] ÷ [tex]7.5=x[/tex][tex]2[/tex] ÷ [tex]7.5=[/tex]

 - We divide because we want to get x alone.

Equation at the end of Step 2:

[tex]x=\frac{2}{7.5}[/tex]

3.) Expand the fraction by multiplying both numerator and the denominator by 10:[tex]2[/tex] × [tex]10=20[/tex][tex]7.5[/tex] × [tex]10=75[/tex]

 - We turned this into a fraction because we couldn't divide properly.

4.) Reduce the fraction to lowest terms by extracting and canceling out 5:[tex]20[/tex] ÷ [tex]5=4[/tex]  [tex]75[/tex] ÷ [tex]5=15[/tex]

 - This step just means divide the lowest amount possible, which in this case is 5.

______________________________

Sarah works 6 hours a day, Monday through Friday. What is her pay for a week?

Answers

Answer:

No one can answer unless you include the money per hour or day or week

Step-by-step explanation:

Answer:

well she works 5 days since it says monday through friday so 5 x 6 =30 she works 30 hours a week but you didnt out how much she early for each hour or one day so thats all you can figure out

Step-by-step explanation:

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