Mathematics High School

Triangle ABC is similar to triangle DEF What are the lengths of sides DF and EF ?

Triangle ABC Is Similar To Triangle DEF What Are The Lengths Of Sides DF And EF ?

Answers

Answer 1

Answer:

A)

Side DF=3

Side EF=6/5

Bye

Answer 2

The values of DF and EF are 3 and 6/5 respectively. (option A)

What are similar triangles?

When two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Given that, Δ ABC ~ Δ DEF

The proportion = AB/DE = BC/EF = AC/DF = 5/3

2/EF = 5/3

EF = 6/5

5/DF = 5/3

DF = 3

Hence, The values of DF and EF are 3 and 6/5 respectively. (option A)

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Related Questions

Find the area of each geometric figure or product of the polynomial.

(5n + 3)

A) 5n2 + 4n - 1
B) 25n2 + 30n + 9
C) 25n2 + 9
D) 25n2 - 9 ​

Answers

it’s c
Because you do 5n+3 times 5n+3 and you get 25n^2+9

Please help!!
How do I rewrite this expression into radical form??

Answers

i think this should be right

Clean123 Inc. performs 1,000 of cleaning services for a customer. After 30 days the computer pays 50% of the invoice with a check. How will this transaction be recorded

Answers

did you get ittttt???

please help me out

7th grade, 25 points plus brainliest to the correct answer, no point theives please, the question is in the picture.

Answers

Answer:

I don't see any attachement or a picture or anything

Step-by-step explanation:

The answer is D

Diana received $675.00 as an incentive for winning the
7th grade writing competition. She spent $405.00 for a
new phone. What percentage of her incentive did she
use for her phone?

Answers

Answer:

she used 60% of her money on the phone

Step-by-step explanation:

Money changer A offers an exchange rate of 1 CAD = 0.635 EUR, with no transfer fee. Which money changer gives the most money in euros for a transfer 800 CAD?

Answers

Answer:

800 CAD = 508 EUR

Step-by-step explanation:

From the above question:

1 CAD = 0.635 EUR

800 CAD = x

Crososs Multiply

x = 800 CAD × 0.635 EUR

x = 508 EUR

Therefore,

800 CAD = 508 EUR

Solve the following inequality.
8x-1<15

Answers

Answer:

x < 2

Step-by-step explanation:

I hope this help you

Please answer and show your work, thank you.

Answers

Answer:

11.) 7a - 4a = 24      12.) 1800    13.)  5.4     14.) 3.55   15.) 35     16.) 99.32

Step-by-step explanation:

11.)        7(8) - 4(8)

 7 x 8 = 56 ) ( 4 x 8 = 32

          56 - 32 = 24

12.)  15 x 12 = 180

     180 x 10 = 1800

13.)  7.8 − 2.4  = 5.4

14.)   Move the decimal two spaces to the left

        355% = 3.55

15.)  A=hbb

      2=5·14

        2=35

       

16.)   54.2

        19

    +  26.12

    ---------------

         99.32

Answer this question plss

correct answer get's brainliest :D

Answers

Answer:

C

Step-by-step explanation:

Answer:

The answer is A :)

brainliest pls

Which of the following values for x is true for 4x > 10?
3
O x=
4
O x = 2
O x = 2.5
OX= 3

Answers

Answer: X=3 X=4 I don’t know if this is multiple choice but those two are correct

Which one of these transformations would produce an image that is not congruent to its pre-image? (4 points)


A translation of (x − 1, y − 3)
A rotation of 90 degrees about the origin
A rotation followed by a translation
A dilation followed by a reflection

Answers

Answer:

A dialation followed by a reflection

Step-by-step explanation:

When you dialate a shape it changes the size which makes the shape similar but not congrouent.

The option “a dilation followed by a reflection” will produce an image that is not congruent to its pre-image option, fourth is correct.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

As we know, the translation will shift the object.

If rotate the image with 90 degree about origin will change the orientation of the image but shape will remains same.

A dilation followed by reflection will change the image because the transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller.

Thus, the option "a dilation followed by a reflection" will produce an image that is not congruent to its pre-image option fourth is correct.

Learn more about the geometric transformation here:

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Solve for x: x - 2 > 2x + 12.
Ox> 14
0x< 14
Ox>-14
Ox<-14

Answers

Answer:

Solving the inequality: [tex]x - 2 > 2x + 12[/tex] we found the value of x: [tex]\mathbf{x<-14}[/tex]

Option D is correct option.

Step-by-step explanation:

We need to solve the inequality: [tex]x - 2 > 2x + 12[/tex] and find value of x

Solving the inequality

[tex]x - 2 > 2x + 12[/tex]

First of all, we will add 2 on both sides

[tex]x - 2+2 > 2x +12 +2\\x>2x+14[/tex]

Now, add -2x on both sides of inequality

[tex]x-2x>2x+14-2x\\-x>14[/tex]

Now, multiply both sides by -1, when multiplying by negative number, the inequality is reversed i.e. > will become <

[tex]-1*-x<14*-1\\x<-14[/tex]

So, solving the inequality: [tex]x - 2 > 2x + 12[/tex] we found the value of x: [tex]\mathbf{x<-14}[/tex]

Option D is correct option.

30 points! See pic attached. Will mark brainliest.

Answers

Answer:

Step-by-step explanation:

i think it a c e i hope this helps :^

answer: D,B,C

Step-by-step explanation:

line A is perpendicular to B and line A and B is parallel to line C

PLEASE ANSWER I WILL MARK AS BRAINLIEST

The Bobcats football coach logged the following yardage gains and losses over four plays of a game.

Gain 25x yards.
Gain 0.9y yards.
Lose 12y yards.
Lose 5.2x yards.
What is the net yardage for these four plays?

Enter your answer as an expression, like this: 42x+53y

Answers

I think the answer is the tthhiirrdd one

The expression to represent the net yardage is 30.5x+12.9y.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, gain 25x yards, gain 0.9y yards lose 12y yards and lose 5.2x yards.

Now, net yardage

= 25x+0.9y+12y+5.5x

= 30.5x+12.9y

Therefore, the expression to represent the net yardage is 30.5x+12.9y.

To learn more about an expression visit;

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please help i will mark branliest

Answers

Answer:

A. S=3w

Step-by-step explanation:

Hope it helps

A. S=3w

Good luck, and have a great day!

Use Pythagorean theorem....
I remember doing this but I forgot how.​

Answers

Answer:

x = 41

Step-by-step explanation

9^2 + 40^2 = x^2

81 + 1600 = 1682

square root of 1681 = 41

x = 41

please help me on this will give you brainliest

Answers

Answer:

103 to 107 is (2). 108 to 112 is (4). 113 to 117 is (2)

Step-by-step explanation:

Mrs. Russell bought a computer for $250. The tax was 7%. What was the total cost of the computer with tax?

Answers

Answer:

$267.5

Step-by-step explanation:

7% of 250=17.5. 250+17.5=267.5

Answer:

267.5

Step-by-step explanation:

250+7%=267.5

Hope this helps :)

If f ( x ) = 3 - i and g ( x ) = 4i,

find f ( x ) g ( x )
Select one:
a. 12i + 3i
b. 11
c. 4i - 3i
d. 4 + 12i

Answers

Answer:

[tex]f(x)g(x) = (3 - i)(4i) \\ = 12i - 4 {i}^{2} \\ = \boxed{12i + 4 }\\ remember \:the \: value \: of \: {i}\: is \: \sqrt{ - 1} \\ and \: {i}^{2} \: is - 1 \\ d. (4 + 12i)\: is \: the \: right \: answer.[/tex]

Pls help it due ASAP
pls show workings
Pls u really need help

Answers

Answer:

13 miles

Step-by-step explanation:

you can go down and to the right or to the left and down but either way it takes 13 miles from her house to Trader Joe's.

7^2 = 49
4^2 = 16
49 + 16 = c^2
65 = c^2
8.06 = c
8.06 miles

Help pls ill mark brainliest

Answers

Answer:

<XWY= 180-23

Step-by-step explanation:

angles on a straight line add up to 180!

hope it helps! please mark me brainliest

thank you! have a good day ahead

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A large bag of chocolate chips contains 11 1 4 cups. A cookie recipe needs 1 1 2 cups of chocolate chips. How many times can the cookie recipe be made? .

Answers

Answer: 7 1/2

Step-by-step explanation:

From the question, we are informed that a large bag of chocolate chips contains 11 1/4 cups and that a cookie recipe needs 1 1/2 cups of chocolate chips.

The number of times that the cookie recipe can be made will be:

= 11 1/4 ÷ 1 1/2

= 45/4 ÷ 3/2

= 45/4 × 2/3

= 7 1/2

The recipe can be made 7 1/2 times

please help me . weak in here

Answers

9514 1404 393

Answer:

  x = 10√3

Step-by-step explanation:

The Pythagorean theorem tells you ...

  FB^2 = BC^2 +CF^2

  FA^2 = FB^2 +BA^2

Substituting for FB^2, we have ...

  FA^2 = BC^2 +CF^2 +BA^2 = x^2 +x^2 +x^2

  FA^2 = 3x^2

  FA = x√3 = 30 . . . . take the square root and substitute for FA

  x = 30/√3

  x = 10√3

Answer the following. a) Find h b) Find x

Answers

Answer:

a) h = 15

b) x = 4

Step-by-step explanation:

a) set up a proportion:

  5 = h

   8     24

cross-multiply:

8h = 120

h = 15

b) x + 5 = x + 5 + 15

   5x + 1    5x + 1 + 35

cross-multiply:

(x + 5)(5x + 36) = (5x + 1)(x + 20)

5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20

180 = 40x + 20

160 = 40x

x = 4

Write an equation of the line that passes through (0, 8) and (6, 8).

y = __

Answers

Answer:

y = 8

Step-by-step explanation:

Normally you would use the formula y2 - y1 / x2 - x1 also know as change in y over change in x, but this equation leaves you with a horizontal line.

Please answer for brainliest and 10 points !!

Answers

Answer:

4 1/2 or -1 1/2

Step-by-step explanation:

1 1/3-3= -1 1/2

1 1/2+3=4 1/2

There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun
one time, what is the probability that the result is a multiple of 3 and a multiple of 5

Answers

Answer:

7 / 15= 0.47

Step-by-step explanation:

A group from school went on a field trip to visit the State Capitol. There were 61 total people. Approximately 15% of these adults. The rest were students. How many of the group was students? ​

Answers

Answer:

52 students or 51

Step-by-step explanation:

20 points Help I will mark brainliest

Answers

Answer:

The answer ia option 2

Step-by-step explanation:

When a line is parallel to the other line, they will have the same slope (gradient).

The new equation will be y = (1/4)x + b.

Next, you have to find the value of b, by substituting the coordinates into the equation :

[tex]y = \frac{1}{4} x + b[/tex]

[tex]let \: x = - 4,y = - 2[/tex]

[tex] - 2 = \frac{1}{4} ( - 4) + b[/tex]

[tex] - 2 = - 1 + b[/tex]

[tex]b = - 1[/tex]

Which is an irrational number

Answers

Answer:

D

Step-by-step explanation:

Because pi never ends.

Hence, D (π) is a irrational number.

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