Triangle DABC is similar to DEFG.


What is the area of DEFD?





Select the best answer from the choices provided.
A.
250 in.2
B.
125 in.2
C.
10 in.2
D.
5 in.2

Answer: 30

Step-by-step explanation:

Answer:

[tex]r=\frac{1}{4}\\\\r=-\frac{5}{4}[/tex]

Step-by-step explanation:

Geometric Sequences

The geometric sequence is given as:

[tex]a_1, a_1r, a_1r^2, a_1r^3,..., a_1r^{n-1}[/tex]

Where n is the number of the term, n≥1, and r is the common ratio.

The sum of n terms of the geometric sequence is given by:

[tex]\displaystyle S_n=a_1\frac{r^n-1}{r-1}[/tex]

We are given: S3=252, a1=192, thus substuting:

[tex]\displaystyle 252=192\frac{r^3-1}{r-1}[/tex]

Dividing by 12:

[tex]\displaystyle 21=16\frac{r^3-1}{r-1}[/tex]

Recall that:

[tex]r^3-1=(r-1)(r^2+r+1)[/tex]

Substituting:

[tex]\displaystyle 21=16\frac{(r-1)(r^2+r+1)}{r-1}[/tex]

Simplifying:

[tex]21=16(r^2+r+1)=16r^2+16r+16[/tex]

Rearranging:

[tex]16r^2+16r+16-21=0[/tex]

16r^2+16r-5=0

Rewriting:

[tex]16r^2-4r+20r-5=0[/tex]

Factoring:

[tex]4r(4r-1)+5(4r-1)=0[/tex]

[tex](4r-1)(4r+5)=0[/tex]

Solving:

[tex]r=\frac{1}{4}\\\\r=-\frac{5}{4}[/tex]

Both solutions are valid

Answer:

Step-by-step explanation:

the triangles have two equal sides

and one angle

Step-by-step explanation:

explain to me what you are asking

Answer:

9.74c-5.48p-64.8

Step-by-step explanation:

(9.74c-250.50)+(-5.48p+185.70)

9.74c-250.50-5.48p+185.70

Combine like terms

-250.50+185.70= -64.8

-64.8+9.74c-5.48p

Reorder them (variables first <alphabetically> then, a number)

9.74c-5.48p-64.8

answer:

p=2(l+w)

150=2.5+w

150=10w

150/10=w

15=w

Answer:

36,960

Step-by-step explanation:

multiply 5280 by 7

Answer:

It should be A

Step-by-step explanation:

This is because when we insert 3 into x we would get:

y = -2

By looking at the pics only one looks setting to the formula

Answer:

Step-by-step explanation:

We can solve this problem by substituting the values  for x  in the equation.

if we put x = 0, Y will be -4

if we put x = 3, Y will be -2

Now you can put the dots on the graph paper and draw the lines.

The Anser is 1

Answer:

A

Step-by-step explanation:

Answer:

Range: [-7, 2]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line's y-values span from -7 to 2. Since both are closed dot, they are inclusive in the range:

[-7, 2] or -7 ≤ y ≤ 2

Answer:

[tex]\dfrac{48}{4}=12[/tex]

Step-by-step explanation:

Given that:

Dylan plays basketball.

In the season, he scored 48 points in total in the first four games of the season.

To find:

The equation to represent the average number of points scored per game.

Solution:

Average is the term used to find one number which can be used to represent a list.

It is usually the mid value.

Average can be found by using the following formula:

[tex]\text{Average =} \dfrac{\text{Sum of all the observations}}{\text{Number of observations}}[/tex]

Here, Sum of all the observations is the total score which is given as 48.

Number of observation is nothing but the number of games which is given as 4.

Therefore, the equation to find the average can be written as:

[tex]Average = \dfrac{48}{4}\\ \Rightarrow \bold{Average = 12}[/tex]

Answer:

y=1.6x+4

Step-by-step explanation:

Answer:

pen = $1.20,  pencil = $0.50

Step-by-step explanation:

let x = pen

let y = pencil

create system of equations:

3x + 6y = 6.60        [can be simplified to be x + 2y = 2.20]

5x + 8y = 10.00

substitution method:

x = 2.2 - 2y

5(2.2 - 2y) + 8y = 10

11 - 10y + 8y = 10

-2y = -1

y = 1/2

solve for 'x':

3x + 6(1/2) = 6.6

3x + 3 = 6.6

3x = 3.6

x = 1.2

1) The quotient is 6.

2) The quotient is 9/10.

Hope it helps!

Answer: 2/4

Step-by-step explanation: You would have to subtract it

Answer:

A

Step-by-step explanation:

Because, you can increase or decrease the number of worker for each table but number of tables will be the same

Answer:

C the person above me is incorrect.

AStep-by-step explanation:

Answer:

The set of transformation would prove ΔEFG ~ ΔGHI is "Reflect ΔGHI

over x = −2, and dilate ΔG′H′I′ by a scale factor of 2 from point G" ⇒

last answer

Step-by-step explanation:

Answer:

the set of transformation would prove ΔEFG ~ ΔGHI is "Reflect ΔGHI

over x = −2, and dilate ΔG′H′I′ by a scale factor of 2 from point G" ⇒

last answer

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

3x²-2y

3.3²-2.5 (as x=3 and y=5)

3.9-10

27-10

17

2x²-3y

2.3²-3.5 (as x=3 y=5)

2.9-15

18-15

3

As it said to exceed we have to

Substract 1st value by 2nd

17-3

14

I am sure

Answer: x>-1

solving For X

Answer:

x > -1

Step-by-step explanation:

8(7-x)<64 (solve for x)

56 - 8x < 64 (distribute!)

-8x < 8 (subtracted 56 from both sides)

x > -1 (divide by -8, flip sign anytime you divide by a negative!)

hope this helps!

Answer:

hii

Step-by-step explanation:

Answer:

The letter C represents as an unknown number or it can just stand for a word that starts with a C in a word problem. Answer: C= 0.01

Step-by-step explanation:

Hope i helped! :)

Answer:

Step-by-step explanation:

follow a few exponent rules and you can figure this out

when expoenents are to the power of something you can mutilply the expoents.. and when there is a minus sign in the exponent.. it's like the reciprocal   [tex]x^{-2}[/tex]  is  1/[tex]x^{2}[/tex]    soooo...

mutilply the  -2/3 by each of the exponents in the question the 8 is tricky b/c it has an invisible 1 on it :o

= [tex]8^{-2/3}[/tex][tex]w^{-14/3}[/tex][tex]x^{10/3}[/tex][tex]y^{-6/3}[/tex][tex]z^{18/3}[/tex]

= 1/[tex]\sqrt[3]{8*8}[/tex] * 1/[tex]w^{14/3}[/tex] * [tex]x^{10/3}[/tex] * 1/[tex]y^{2}[/tex] * [tex]z^{6}[/tex]

= 1/[tex]\sqrt[3]{64}[/tex]* 1/[tex]w^{14/3}[/tex] *[tex]x^{10/3}[/tex] * 1/[tex]y^{2}[/tex] * [tex]z^{6}[/tex]

= 1/4* 1/[tex]w^{14/3}[/tex] *[tex]x^{10/3}[/tex] * 1/[tex]y^{2}[/tex] * [tex]z^{6}[/tex]

=answer A

Answer:

you pay $48.45

you save $2.55

Step-by-step explanation:

Trust

Answer:

∠TAR =  35°

Step-by-step explanation:

∠TAR = ∠CAR - ∠CAT = (9x + 7) - 5x = 4x + 7

AT bisect ∠CAR       ∠TAR = ∠CAT

4x + 7 = 5x

x = 7

∠TAR = 4 x 7 + 7 = 35

1.33/50

2.1 2/25

3.1 21/100

4.13/25

5.1 71/100

6.97/100

Answer:

65 percent

Step-by-step explanation:

50 and is for sale at 32.50 dollars

ok to now this

32.5/50=0.65 multiply by 100

65 percent

Cost - 500

Marked Up - 250

Margin - 71.4286

MxCxMA= $1,750

This may seem confusing, but its $1,750 for the new price, and the equation is:

M= Marked

C= Cost

MA= Margin

The new price of the television is $1750.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

A television that costs $500 is marked up 250%.

So, the new price is

= 500 + 250% of 500

= 500 + 250/100 x 500

= 500 + 1250

= $1750

Hence, the new price of the television is $1750.

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ6

Answer:

X < -2

Step-by-step explanation:

Answer:

Find the circumference of a circle with radius, r = 3.5m.

2x3.5xpi = 7pi is answer