The right triangle below is dilated by a scale factor of 3. Find the perimeter and area
of the right triangle below, as well as the perimeter and area of the dilated right
triangle. Figures are not necessarily drawn to scale.
24
10
26
Perimeter of given right triangle
units
Perimeter of dilated right triangle
units
units
Area of given right triangle
units?
Area of dilated right triangle
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Answer:

The ages of the four siblings are: 5, 7, 9 and 11 years old.

Step-by-step explanation:

The computation of the age of the four siblings is shown below:

Given that

n = 4

a1 =? a2 =? a3 =? a4 =?

a4 = a1 + 6 years

S4 = 32

Based on the above information

As we know that

Sn = (a1 + a4) ×  n ÷ 2

S4 = (a1 + a4) × 4 ÷ 2

32 = (a1 + a1 +6) × 2

16 = 2a1 + 6

 2a1 = 10

 a1 = 10 ÷ 2

= 5

So,  a4 = a1 +6

= 5 +6

= 11

a4 = a1 + (4-1) × d

11 = 5 + 3 × d

d = 6 ÷ 3

= 2

So,

a2 = a1 + d

= 5 + 2

= 7

a3 = a2 + d

= 7 + 2

= 9

Hence, The ages of the four siblings are: 5, 7, 9 and 11 years old.

Answer:

XY is not tangent to circle Z

Step-by-step explanation:

if ∠WXY = 90°, then XY is tangent to circle Z

test using Pythagorean theorem:

WX = 2(ZX) = 17

is 20² = 5² + 17²?

400 ≠ 25 + 289, so not tangent

Answer:

No

Step-by-step explanation:

The equation would be 32 times (1/2)^x.

Linear equations won't have exponents, because this is an exponential equation.

Answer:

5800 x 0.0135 = 78.3

78.3 x 3 =234.9

78.3/2 = 39.15

234.9 + 39.15 = 274.05

Your answer is 274.05

Step-by-step explanation:

Hope this helps!

The balance in her account at the end of 3.5 years is  $6074.05.

The balance in her account is the sum of the interest earned and the amount of money deposited.

Simple interest = amount deposited x time x interest rate

$5800 x 0.0135 x 3.5 = $274.05

Balance = $274.05 + $5800 = $6074.05

To learn more about interest, please check: https://brainly.com/question/26164549

Answer:

16 red pens and 32 blue pens

Step-by-step explanation:

16 times 2 is 32

Answer:

since monomial means a one term expression...  A, D and E look good

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

here scrooll down for answer

no <3

just kidding multiply those and tada u'll get your answer

Answer:

38-39 just divide it c'mon seriously

Answer: 12x^2 + 43x + 35 (if you go to k12)

Step-by-step explanation: took the quiz :) (also, sorry forgot to actually answer..)

After multiplication, we get [tex]12x^{2} +43x+35[/tex]

We have to multiply,  

               [tex](3x+7)(4x+5)[/tex]

Now multiplying both term,

                  [tex]=(3x+7)(4x+5)\\\\=12x^{2} +15x+28x+35\\\\=12x^{2} +43x+35[/tex]

After multiplication, we get [tex]12x^{2} +43x+35[/tex]

Learn more about quadratic equation here:

https://brainly.com/question/1214333

Answer:

earthworm

Step-by-step explanation:

The worm which hasbristles, called setae, on its soft body to help it move is roundworm, the correct option is roundworm.

Worms are described as many different distantly related bilateral animals that typically have a long cylindrical tube-like body, no limbs, and no eyes. Roundworms constitutes of the phylum Nematoda, with plant-parasitic nematodes also known as eelworms.

Given;

The worms has bristles, called setae

Now,

Roundworm infections usually occur when soil, sand, or plants that have been contaminated with infected animal feces are accidentally put in the mouth and ingested by individuals;

Therefore, the worm will be roundworm.

Learn more about roundworms at:

brainly.com/question/17039398

#SPJ6

Answer: t= 3/2

Step-by-step explanation: 5/ 7 1/2 = 3/2

Answer:

t = 7/10 = 0.700

Step-by-step explanation:

STEP

1

:

           1

Simplify   —

           2

Equation at the end of step

1

:

            1

 5t -  (7 • —)  = 0

            2

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

          5t     5t • 2

    5t =  ——  =  ——————

          1        2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5t • 2 - (7)     10t - 7

————————————  =  ———————

     2              2  

Equation at the end of step

2

:

 10t - 7

 ———————  = 0

    2  

STEP

3

:

When a fraction equals zero :

3.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 10t-7

 ————— • 2 = 0 • 2

   2  

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  10t-7  = 0

Solving a Single Variable Equation:

3.2      Solve  :    10t-7 = 0

Add  7  to both sides of the equation :

                     10t = 7

Divide both sides of the equation by 10:

                    t = 7/10 = 0.700

One solution was found :

t = 7/10 = 0.700

Answer:

yes it is

Step-by-step explanation:

yes it is

Answer:

SSS

Step-by-step explanation:

KN / PD = 54/24 = 2.25

KB / PF = 49.5/22 = 2.25

BN / DF = 40.5/18 = 2.25

ΔKBN ~ PDF   (SSS) : two triangles are similar, their corresponding sides are in equal proportion.

Answer:

90 degree angle

Step-by-step explanation:

Answer:

A. y=6x-3

B. The slope is 6

C. y-intercept is -3

E. y-6x= -3

F. (1/2, 0)

Step-by-step explanation:

I can't do the graph because I don't know how to input a picture but I hope this helped!

This is for the second half of the page:

2. the slope of y=3 is 0 so m=0

to graph just draw a line horizontally at 3

3. the equation of the line is x=2

the slope of this line undefined, so literally just write undefined

4. y= -6/7x-1

Answer:

$4,500

Step-by-step explanation:

Answer:

What angle should a ramp be?

Maximum slope for hand-propelled wheelchair ramps should be 1" of rise to every 12" of length (4.8 degree angle; 8.3% grade). Maximum slope for power chairs should be 1.5" rise to 12" length (7.1 degree angle; 12.5% grade). Minimum width should be 36" (inside rails) - (48" is ideal)

Step-by-step explanation:

Hope it helps

Answer:

b

Step-by-step explanation:

5(6) = 30

Answer:

75 degrees

Step-by-step explanation:

3x+15 = 4x - 5

-3x       -3x

15=x-5

+5    +5

x=20

4(20)-5 = 75

Answer:

75

Step-by-step explanation:

1 and 2 are corresponding angles meaning that they are equal to each other or congruent

so we set up an equation

4x-5=3x+15 and since for x

step 1 subtract each side by 3x

4x-3x=x

now we have

x-5=15

step 2 add 5 to each side

5+15=20

x=20

now we just plug in 20 to 4x - 5

4x20=80

80-5=75

therefore your answer is 75

Answer:

-2/3

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

7/3=2 1/3 >2

Answer: D

Step-by-step explanation: Because Africa wasn't invited to the Berlin conference, they started to struggle economically.

Answer: I believe it's D

Hope this helped love<3

9514 1404 393

Answer:

  y = 3/4x -7/4  or  y = 0.75x -1.75

Step-by-step explanation:

The two point form of the equation of a line is useful when you are given 2 points and asked for the equation.

  y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

  y = (35 -14)/(49 -21)·(x -21) +14 . . . . . . fill in given points

  y = 21/28(x -21) +14 . . . . . . . . . . . . . . . simplify a bit

  y = 3/4(x -21) +14 . . . . . . . . . . . reduce the fraction

  y = 3/4x -15 3/4 +14 . . . . . . . .eliminate parentheses

  y = 3/4x -7/4  or  y = 0.75x -1.75

Answer:

False, False, True, False, True

Step-by-step explanation:

When you divide by a whole number, the answer always come out smaller

When you divide by a fraction, the answer always come out larger