Are the triangles similar? If so state the similarity and the postulate or theorem that justifies your answer.

Are The Triangles Similar? If So State The Similarity And The Postulate Or Theorem That Justifies Your

Answers

Answer 1

Answer:

A

Step-by-step explanation:

∆ABC is similar to ∆DEF if and only if the ratio of their corresponding side lengths are the same.

Let's find out:

DE/AB = 10/5 = 2

EF/BC = 8/4 = 2

FD/CA = 12/6 = 2

The ratio of their corresponding side lengths are equal, therefore, ∆ABC is similar to ∆DEF based on the SSS Similarity Theorem.


Related Questions

Help Plz!!
What system is Y = 2x + 1 and Y = -2x + 5?
A. Consistent system
B. Dependent system

Answers

Answer:

consistent

Step-by-step explanation:

help me for brainlist

Answers

Answer:

72,000

Step-by-step explanation:

help with circle measurements asap plzzzz​

Answers

Answer:according to the formula of inscribed angle theorem

[tex]3x + 22 = \frac{1}{2 } \times 134[/tex]

[tex]3x + 22 = 67[/tex]

[tex]3x = 67 - 22[/tex]

[tex]3x = 45[/tex]

[tex]x = \frac{45}{3} [/tex]

[tex]x = 15[/tex]

The answer is 15 degrees

find the distance round to the nearest tenth (-8, -6) (-3,-2)​

Answers

Answer:

[tex]\displaystyle d \approx 6.4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-8, -6)

Point (-3, -2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                   [tex]\displaystyle d = \sqrt{(-3+8)^2+(-2+6)^2}[/tex][√Radical] (Parenthesis) Add:                                                                        [tex]\displaystyle d = \sqrt{(5)^2+(4)^2}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle d = \sqrt{25+16}[/tex][√Radical] Add:                                                                                              [tex]\displaystyle d = \sqrt{41}[/tex][√Radical] Evaluate:                                                                                        [tex]\displaystyle d = 6.40312[/tex]Round:                                                                                                            [tex]\displaystyle d \approx 6.4[/tex]

Answer:

6.4

Step-by-step explanation:

d=√((−3−(−8))^2+(−2−(−6))^2)

d=√((5)^2+(4)^2)

d=√(25+16)

d=√(41)

d=6.403124

d=6.4

A membership at a yoga studio costs $35 per month. Write an equation for the cost of the membership, c, that you pay if you keep your membership for m months How much will you membership cost if you keep it for 20 months​

Answers

The answer would be C + 20m
So basically the equation is c +20m. :3

7^2 + 5 + 8 + 9 =
plz help i am in six grade

Answers

Answer:

71

Step-by-step explanation:

plz mark brainlest

How long does it need to keep $600 in an account that pays 2.75% annual simple interest to earn $264?

Answers

Answer:

16 years

Step-by-step explanation:

Principal amount (P) = $600

Rate of interest (R) = 2.75%

Simple interest (S.I.) = $264

Let t denotes time period.

[tex]S.I.=\frac{PRT}{100}[/tex]

[tex]264=\frac{600(2.75)t}{100} \\\\t=\frac{264(100)}{600(2.75)}[/tex]

[tex]t=16[/tex] years.  

Therefore,

interest of $264 will be earned in 16 years.

At a recent breakfast, four friends paid for their own drinks and shared the cost of a bag of donuts. Joe's drink was $1.75. He paid a total of $3.20 for breakfast. How much did the bag of donuts cost?

Answers

Answer:

$5.80

Step-by-step explanation:

To answer, we must first subtract the toal cost Joe paid by the amount he paid for his drink, because ha paid for his drink separately. so:

3.20 - 1.75 = 1.45

And because there were a total of 4 friends, we mulitply the answer by 4:

1.45 * 4 = 5.8

So, the bag of donuts costed $5.80

Hope this helps :)

Mr.Sawyer drove his car from his home to New York at the rate of 45mph and returned over the same road at the rate of 40mph. If his time returning exceeded his time going and his time returning?

Answers

Complete question :

Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph. If his time returning exceeded his time going by 30 min, find his time going and his time returning.

Answer:

T1 = 4

T2 = 4.5

Step-by-step explanation:

Difference in time = 0.5 hour

Time = distance / speed

Let distance = d

Time, T1 = d / 45

Time, T2 = d / 40

d/40 - d /45 = 1/2

(45d - 40d) / 100 = 2

45d - 40d = 900

5d = 900

d = 180

T1 = 180 /45 = 4 hours

T2 = 180 / 40 = 4.5 hours

The width of a rectangular video game cartridge is 2 in. more than the length. The area is 16 in?.
Find the dimensions of the cartridge.
Equation:
Solution:

Answers

Equation: The cartridge has a 8 inch length and a 2 inch width.

Solution: l(w) 8(2)= 16 meaning 16 is the area. Meaning we found the length which is 8.

What could be the location of point w

Answers

Answer: 10

Step-by-step explanation:

A boat traveled 150 miles downstream (with the current) and back (against the current). The trip downstream took 10 hours. The trip back took 30 hours. What is the speed of the boat (b) in still water? What is the speed of the current (c)?

Answers

Answer:

b= 10 miles/hr and c= 5 miles/hr

Step-by-step explanation:

Let it's downstream and upstream speed be d and u respectively

also speed of the boat be b and speed of stream be c.

as per question d = 150/10= 15 miles/hr

and, u= 150/30= 5 miles/hr

also we know d= b+c = 15.....i and u = b-c= 5....ii

solving i and ii we get b= 10 miles/hr and c= 5 miles/hr

Two​ trains, Train A and Train​ B, weigh a total of 379 tons. Train A is heavier than Train B. The difference of their weights is 255 tons. What is the weight of each​ train?

Answers

Answer: A = 317

B = 61

Step-by-step explanation:

The following equation can be gotten from the question given. This will be:

A + B = 379 ........ i

A - B = 255 ........ ii

From equation i, make A the subject of the formula

A = 379 - B ...... iii

Put the value of A in iii into equation ii

A - B = 255

(379 - B) - B = 255

379 - B - B = 255

379 - 2B = 255

2B = 379-255

2B = 124

B = 124/2

B = 62 tons

Since A + B = 379

A + 62 = 379

A = 379 - 62

A = 317 tons

What is 193 + y ≥ 201.

Answers

Answer:

y≥ 8

Step-by-step explanation:

Please help me wit this

Answers

Answer:

1. Equation: y = -1.17491x + 81.791 (you may need to round!)

2. Correlation coefficient: -0.8566

3. Strong negative correlation because the correlation coefficient is close to -1

4. Sketch the scatterplot using north latitude as the x value and Jan mean temp as the y value on the graph

Step-by-step explanation:

Step 1: Go to desmos graphing calculator

Step 2: Insert a table

Step 3: Insert values into the table (shown in image) using the north latitude as the x value and jan mean temp as y value

Step 4: Go to line 2, and type "[tex]y_1 = mx_1 + b[/tex]" except replace "=" with ~ as shown in the image. Put the 1s as subscripts

Step 5: Scroll out. Desmos would've graphed the line of best fit and plotted the points. Under statistics, you can see that r is the correlation coefficient

Step 6: The correlation coefficient r will be between -1 and 1. If it is closer to -1 or 1, it is a strong correlation. If it is closer to 0, it is a weak correlation. For example. -0.6 is closer to -1 than it is to 0, so it is a strong negative correlation. You can see that r here is -0.8566, which is strong negative.

Step 7: Lastly, you need to make the equation. It will be in the form y = mx + b. If you look under "parameters", there will be a value for m and b. Plug that in to the equation. Check to see if you need to round.

Step 8: To graph the scatterplots, you can use the graph and the points that desmos plotted as a reference. Good luck!

I hope I did it right, we just finished this at school and I got 100% on the test. Comment with any questions. Best of luck! - brainpop72

Can someone help me find the area

Answers

Answer:

84

Step-by-step explanation:

8x6=48

2x4=8

4x7=28

48+28+8=84

Anyone can help ? I have no clue what the answer maybe

Answers

Since both the triangles are similar,

(y-2)/(y+4) = 4/8

8(y-2) = 4(y+4)

8y - 16 = 4y + 16

8y - 4y = 16 + 16

4y = 32

y = 32/4

y = 8


The perimeter of triangle PQR:
4 + 6 + (8-2)

= 10 + 6

= 16 ft.

help I will give brainiest it will mean alot. find the scale factor​

Answers

The scale factor is 4 . I assume both pictures are the same

Answer:

Step-by-step explanation:

16:1

[tex]\frac{2y+1}{3}[/tex]=[tex]\frac{y-2}{4}[/tex]

Answers

The answer is y=-2 ! Hope this helps

Freddy’s savings account went from $520 to $321 after he purchased a new bike. What was the percent decrease?

Answers

Step-by-step explanation:

The bike cost $199 to get $199 you do a number line then label 520 then at the end label 321 so then you do -20 then -100 then -50 then -20 then -9. so now you add them up 20+100+50+20+9 which equals =199

so bike cost $199

then 520%×199= 1034.8

or 520%×321=1669.2

so the  percentage is 1669.2 or 1034.8 probably 1669.2 but they bot count.

Which of the following functions represents an arithmetic sequence?
Of(n) 3"-4"
Of(n) 3-4
O fm) 374
O fin) - 34

Answers

Answer:

Step-by-step explanation:

The O is not part of the function.

f(n) = 3n-4 is an arithmetic sequence. The first term is -1 and the common difference is 3.

state whether the following pairs of triangles are congruent or not. Give reasons for your answers. if there is not enough information to make a decision, explain why.​

Answers

Answer:

91jr9jw9nfienfiebfuw cowcow viece

PLEASE HELP IT'S DUE IN 20 MINUTES!!!

Answers

6x -19 + 3x + 10 = 180
9x -9 = 180
9x = 189

x = 21

What is the equation of a circle with a radius of 7 and centered at point (3, -4)? please help fast!

Answers

Answer:

Vertex (3, –4) r = 7

Step-by-step explanation:

[tex](x -3)^{2} + (y+4)^{2} = 49[/tex]

Francis scores 3 more than 2 times the number of points that Ray scores. If r represents the number of points Ray scores, which expression represents the number of points Francis scores?


1. 5r


2.6r


3.2r+3


4.3r+2

Answers

3. 2 times ray scores = 2r and 3 more = + 3 so 3 more than 2 times is 2r + 3

If triangle LMN is similar to triangle XYZ, then side LN corresponds to side

Answers

Answer:

The side it corresponds to is XZ

On a scale drawing 1cm represents 4 m.What length on the drawing would be used to represent 6.5 m

Answers

Answer:

1.6cm

Step-by-step explanation:

1cm=4m

      =6.5m

6.5÷4=1.625 round it off to the nearest tenths=1.6

Hi, could someone help me with these two questions please? Thank you!

Answers

7 is option C
8 is option A

how could you represent the following scenarios of the graph ? Silvia has $5.50 in her piggy bank and earns $2
per chore she does at her house.

Answers

Answer:

We know that Silvia has $5.50 in her piggy bank, and she earns $2 per chore she does at her house.

So if she does x chores at her house, she will have:

y = f(x) = $2*x + $5.50

where y = her savings.

This is a linear relationship, to graph this, we need to evaluate the function in two different values of x so we can get two ordered pairs.

Then we graph the ordered pairs in the coordinate axis, and then we draw a line that passes through both points.

We can use the points given by x = 0.

y = f(0) = $2*0 + $5.50 = $5.50

Then we have the point (0, $5.50)

and if we use x = 1 we get:

y = f(1) = $2*1 + $5.50 = $7.50

Then we have the point (1, $7.50)

Now we just need to graph the points (0, $5.50) and (1, $7.50), and draw a line that passes through them.

The graph is shown below.

la adición de dos números es -17. Calcula el Numero Menor, si el mayor es -8

Answers

Podría ser -9

Step-by-step explanation:

-9 is the answer hope this helps
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