Triangles ABC and DEF are similar triangles. What are the lengths of the unknown sides?

A) DF = 65 cm; DE = 25 cm
B) DF = 39 cm; DE = 15 cm
C) DF = 52 cm; DE = 48 cm
D) DF = 48 cm; DE = 52 cm

Step-by-step explanation:

The pythagorean theorem is the sum of the two legs squares equal the hypotenuse squared.

The hypotenuse is the longest side so 3.5 is our hypotenuse.

Apply formula to see of true.

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {2.5}^{2} + {3}^{2} = {3.5}^{2} [/tex]

[tex]6.25 + 9 = (3.5 {}^{2}) {?} [/tex]

[tex]15.25 = 12.25 {?}[/tex]

So it isn't a triangle since they aren't equal

Answer:

7.5 feet

Step-by-step explanation:

Hope it helps(:

Answer:

y = 54

Step-by-step explanation:

45 = y - 9

 +9     +9

54 = y

y= 54            

Answer:

Yes it is

Step-by-step explanation:

You know it is equal because 2/10 is equal to .20 or .2

Answer:

I’m sure they are both equivalent to 1/5

Step-by-step explanation:

Step-by-step explanation:

0,0,5= 0-9 (3)

14= 10-19 (1)

29,23,25,22= 20-29 (4)

39,30= 30-39 (2)

Hope this helps :)

Answer:

4

Step-by-step explanation:

Answer:

option (4)

Step-by-step explanation:

Calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(2, 2) and (x₂, y₂ ) = B(- 6, 4)

AB = [tex]\sqrt{(-6-2)^2+(4-2)^2}[/tex]

      = [tex]\sqrt{(-8)^2+2^2}[/tex]

      = [tex]\sqrt{64+4}[/tex]

      = [tex]\sqrt{68}[/tex]

       ≈ 8.25 ( to 2 dec. places )

hi

In R, there is no solution  to the  equation  X² = - ...  

so correct answer is  C

Answer:

Kindly check explanation

Step-by-step explanation:

Using visual comparison :

SHAPE :

Both plots are fairly left skewed as their peaks are more shifted to the right and tails to the left of the distribution.

The centre :

Both softball and basketball plots are centered around the median of the distribution. With softball having a centre (median value) of 5'4'' and basketball has a value of 5'8''.

Spread :

The softball plot spread from 4'9'' through 5'6''

While basketball spreads from 5'2'' through 6'0''

Answer:

49/5

Step-by-step explanation:

x+x+x+x+x+30=79

5x+30=79

5x=49

x=49/5

Answer:

640 cm ^2

Step-by-step explanation:

40x4x4 = 640

let's say b = 20 and h = 4

1/2(20)(4) = 40

scale by 4

b= 80 h = 16

1/2(80)(16) = 640

Answer:

ratio

part-to-whole

whole-to-whole

with the word to

with a colon

or as a fraction

Step-by-step explanation:

Answer:

[tex]12 \times 4 = 48 \\ 8 \times 6 = 48[/tex]

=> These 2 multiplication facts are equal to 48.

Answer:

1. yes

2.no

3.yes

4. no

hope this helps I'm not sure about number 2 tho

Answer:

True

Step-by-step explanation:

Answer:36 inches^3

Step-by-step explanation:don't know how to explain it

Answer:

1 hour babysitting and 14 restaurant

Answer:

35 degrees and 50 degrees

Step-by-step explanation:

The sum of all the angles in a triangle must be 180 degrees. So 180 - 95 = 85 leftover for the other two angles. Since we have a ratio of 7:10, we can add that up to get 17 total pieces of that 85-degree angle. 85 / 17 = 5, so each piece is 5 degrees. Therefore, the other two angles are 7*5 = 35 degrees and 10*5 = 50 degrees.

Answer:

40.25 yds to the the nearest 100th

Step-by-step explanation:

The diagonal forms a right triangle with the length and width.

The diagonal is the hypotenuse

So, let d = the diagonal distance

[tex]d^{2}[/tex] = [tex]18^{2} + 36^{2}[/tex]

   = 324 + 1296

   = 1620

d =  [tex]\sqrt{1620}[/tex] = 40.25 yds to the the nearest 100th

9514 1404 393

Answer:

  3.95 in

Step-by-step explanation:

The volume is given by ...

  V = πr²h

Solving for radius, we get ...

  r = √(V/(πh))

For the given numbers, the radius is ...

  r = √(980 in³/(π·20 in)) = 7/√π in ≈ 3.95 in

The radius of the cylinder is about 3.95 inches.

Answer:

B is the answer

Step-by-step explanation:

Is that all the questions you need help with

Answer:

A) y = 5

Step-by-step explanation:

Points: (1, 5) and (3, 5)

Slope:

m=(y2-y1)/(x2-x1)

m=(5-5)/(3-1)

m=0/2

m = 0

Since 0 is the slope, that means there's no slope.

y - y1 = m(x - x1)

y - 5 = 0(x - 1)

y - 5 = 0

y = 5

Answer:

0.191

Step-by-step:

0.022 + 0.169 = 0.191.

Answer:

9

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 40^2 = 41^2

a^2 + 1600 = 1681

a^2 = 1681 - 1600

a^2 = 81

a = 9

Answer:

666mm

Step-by-step explanation:

A= 1/2 Base x Height .    For triangle

A= 1/2 (10)(12)

A=1/2 (120)

A=60 .        One triangle is 60, so 2 triangles are 120 mm

Rectangle

A= BxH

A=(14)(13)

A=182mm              But since there are 3 triangles you multiply 182 times 3

(182x3)+120

=666

Area of the figure is 666mm

Answer:

706.86

Step-by-step explanation:

have a good day! :D

Answer:

The image will be the point (6,5)

Step-by-step explanation:

Here, we want to get the image of the point (-5,-6) after the reflection

Mathematically if we reflected a point with the pre-image coordinates (x,y) over the line y = -x; its image becomes (-y, -x)

So, (-5,-6) becomes (6,5)

Answer:

Please find below. Fill in the table with the values of y given below.

Step-by-step explanation:

For question 5, you should substitute the different values of x into the equation y =x^2 +4

So, when

x = -3, y = (-3)^2 +4 = 9+4 = 13

x = -2, y = (-2)^2 +4 = 4+4 = 8

x = -1, y = (-1)^2 + 4 = 1+4 = 5

x = 0, y = 0^2 + 4 = 4

x = 1, y = 1^2 +4 = 1+4 = 5

x = 2, y = 2^2 +4 = 8

x = 3, y = 3^2 + 4 = 13

x = 4, y = 4^2 + 4 = 20

For question 6, you need to find the nth term or a formula of y in terms of x.

For this, find the common difference between each of the consecutive values of y.

This is 5

So, the start if our equation is going to be ‘y = 5x’

Now, to find the ‘+c’ part, can be calculated by substituting the value of y when x = 1 into the y = 5x

So,

y = 5x + c

13 = 5 + c

Rearrange the find that c = 8

Therefore, the nth term formula = 5x + 8

Hope this helps

Answer:

From least to greatest, the correct order is 1.2, 1.2011, 1.401, and 1.41.

Step-by-step explanation: