Question 7 of 27
A DEF is a dilation of A ABC by a scale factor of . Which of the following
proportions verifies that A ABC and ADEF are similar?
B
15
12
A 30
9
о
A.
AB
AC
DE
EF
O
B.
AC
DF
O
c.
DE
BC
EF
E PREVIOUS
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Question 7 Of 27A DEF Is A Dilation Of A ABC By A Scale Factor Of . Which Of The Followingproportions

Answers

Answer 1

9514 1404 393

Answer:

  B. AB/DE = AC/DF

Step-by-step explanation:

When triangles are similar, corresponding sides have the same ratio. We are told that ∆ABC ~ ∆DEF. This means that corresponding sides are ...

  AB : DE

  BC : EF

  AC : DF

Any pair of these ratios can be used to write the proportion. Each proportion can be written in 4 different ways. The answer choices show that AB and DE are involved in the proportion we want, so we can have any of ...

  AB/DE = BC/EF

  AB/DE = AC/DF . . . . . . matches choice B

  AB/AC = DE/DF

_____

Additional comment

When we say a proportion can be written 4 ways, we mean all of these versions of a proportion are fully equivalent:

a/b = c/da/c = b/d . . . . sidewaysb/a = d/c . . . . upside downc/a = d/b

Related Questions

a carton contains 1 3/4 quarts of ice cream. One serving is a 1/5 of a quart. How many servings are in the carton?

Answers

Answer: 8 3/4

Explanation: Well in order to solve this equation, you must make the denominators equivalent. A common factor between 4 and 5 is 20. But since we multiplied the denominators, we have to do the same to the numerators. 3 x 5 = 15. 1 x 4 = 4. Our new fractions are now 1 15/20 and 4/20. Now that we have made our denominators equivalent, we can divide. 1 15/20 divided by 4/20 is 8 15/20. But we are not done yet, after we must simplify the fraction. Which would be 8 3/4.

is this right if not please help me

Answers

Answer:

No

Step-by-step explanation:

3rd option should be changed to "will not".

9514 1404 393

Answer:

2 – will3 – will4 – will not

Step-by-step explanation:

Whether the offered numbers will satisfy the inequality is more easily seen by solving it for x.

  6 + 3x ≤ 15

  3x ≤ 9 . . . . . . . . . subtract 6 from both sides

  x ≤ 3 . . . . . . . . . . divide by 3

This is "x is less than or equal to three."

  2 is less than 3 so will meet Mari's goal

  3 is equal to 3, so will meet Mari's goal

  4 is not less than or equal to 3, so will not meet Mari's goal

Evaluate the function

f(x)=−4x^2+6x−4

Find f(5)

Answers

Hey there!

1. How to find f(5)?

To find f(5) - simply substitute x = 5 in the function. f(5) means the value of f(x) at x = 5.

2. Substitution and Evaluate

[tex] \large{f(5) = - 4( {5})^{2} + 6(5) - 4}[/tex]

Remember to follow the PEMDAS/BODMAS rules! Exponent comes before multiplication.

[tex] \large{f(5) = - 4(25) + 30 - 4} \\ \large{f(5) = - 100 + 30 - 4} \\ \large{f(5) = - 74}[/tex]

3. Final Answer

f(5) = -74

If you have any questions regarding the question or my answer, feel free to ask!

Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).
f(x) = 2x2 – 7x + 3
g(x) = -x + 2

Answers

g(f(-1))
g[2(-1)^2 - 7(-1) + 3]
g(2 + 7 + 3)
g(12)
-12 + 2
-10 :)

I need help ASAP bc its due in a few minutes and I’m IN A RUSH SO SOMEONE PLEWSE TELL ME THE ANSWER TO THIS

Answers

Answer:

first one

Step-by-step explanation:

trust me im doing these too

Answer:

1 1/2 I've been doing these

You bike 4 miles the first day of your training 4.5 miles a second Day 5.5 miles a day day and 7.5 miles the fourth day if you continue this pattern how many miles do you bike the seventh day

Answers

Answer:

rth sdh h trh

Step-by-step explanation:

trh rhgf  

I need help:(((((((((((

Answers

3. Translated down 4
4. Reflected across the x-axis
5. Reflected across the the y-axis and the rotated at 90°

Hope this helps ;)

Question on image. (5)

will report answers out of question. Thank you

Answers

Answer:

AD = 6

Step-by-step explanation:

If a radius is perpendicular to a chord, then it bisects the chord.

Here XB is the radius, AC is the chord. Given XB and AC are perpendicular to each other. Therefore, XB bisects AC at D.

So,

    [tex]AD = \frac{1}{2} \times AC = \frac{1}{2} \times 12 = 6[/tex]

         

Solve 3/4+(1/3 : 1/6)-(-1/2)

Answers

Answer:

13

4

OR  

3

1

4

Step-by-step explanation:

first you work out what is in the brackets

that is  

1

3

÷

1

6

to give you 2 as you answer

second step rewrite the whole question replacing two in the place of  

1

3

÷

1

6

so you will have  

3

4

+

2

(

1

2

)

thirdly open the brackets with the negative sign outside the bracket that is:  

(

1

2

)

so that you get  

+

1

2

(or  

1

2

, basically)

lastly rewrite the whole question

so you will have  

3

4

+

2

+

1

2

, you add all of them ...  

3

4

+

8

4

+

2

4

=

13

4

EXTRA

you can keep that solution, or you can change it from improper fraction to a mixed number

if you use long division,  

13

÷

4

=

3

with a remainder of  

1

over  

4

.

doing this by calculator you get 3.25, which is basically  

3

25

100

=

3

1

4

(24 + 4) ÷ 2 = (24 ÷ 2) + ( __ ÷ 2)

i dont know this

Answers

Answer:

4

Step-by-step explanation:

(24+4) ÷ 2 = (24 ÷ 2) + (4 ÷ 2)

28÷2 = 14

Check:

24÷2 = 12

4÷2 = 2

12+2=14

Answer:

The answer is 4.

Step-by-step explanation:

(24 + 4) ÷ 2 = (24 ÷ 2) + (x ÷2)

=28 ÷ 2 = 12 + (x÷2)

14 = 12 + (x ÷ 2)

14 - 12 = x ÷ 2

2 = x ÷ 2

2 × 2 = x

x = 4

Find the distance between the pair of points that given on the graph?

Answers

Answer:

[tex]\displaystyle d = \sqrt{74}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a coordinate planeCoordinates (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

Find endpoints from graph

Point (-3, -3)

Point (4, 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{(4- -3)^2+(2- -3)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                    [tex]\displaystyle d = \sqrt{7^2+5^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{49+25}[/tex][√Radical] Add:                                                                                                  [tex]\displaystyle d = \sqrt{74}[/tex]

URGENT PLEASE HELP: x = -pi/2 is an asymptote in the graph of y = tanx.

True or False

Answers

Answer:

Step-by-step explanation:

tan is the same thing as sin/cos. therefore,

[tex]tan(-\frac{\pi}{2})=\frac{sin(-\frac{\pi}{2}) }{cos(-\frac{\pi}{2}) }[/tex]

[tex]sin(-\frac{\pi}{2})=-1[/tex] and [tex]cos(-\frac{\pi}{2})=0[/tex] so

[tex]tan(-\frac{\pi}{2})=-\frac{1}{0}[/tex] which is undefined. On the graph, this is represented by an asymptote. So your answer is true.

Answer:

Step-by-step explanation:

The answer is true!

PLEASE HELP ASAP WILL MARK BRAINLIEST

What bases and heights do I use in this since there are 4?

And what’s the answer

Answers

Answer:

The parallel sides are called the bases of the trapezoid

Step-by-step explanation:

[tex]area = (\frac{a + b}{2}) \times h[/tex]

       [tex]= \frac{14.1+22.7}{2} \times 18\\\\=331.2 \ unit^2[/tex]

Answer:

331.2 units^2

Step-by-step explanation:

There is a formula for the area of a trapezoid of legs a and b and width h:

a + b

----------- * h

     2

Here the leg lengths (which are parallel) are 14.1 and 22.7, and the width is 18.  Thus, the desired area is

14.1 + 22.7                        36.8

---------------- * 18  =  A  = ------------ * 18 = 331.2 units^2

       2                                   2

The dimension 20.3 is not needed here.

The line plot shows the cost of five books teacher buys all five books she pays with a $100 bill how much change should she getting

Answers

Answer:

[tex]Change = \$36[/tex]

Step-by-step explanation:

Given

See attachment for line plot

[tex]Amount = \$100[/tex]

Required

Determine the change

First, we calculate the amount represented by the line plot

[tex]Amount (Plot) =10+12+12+14+16[/tex]

[tex]Amount (Plot) =64[/tex]

The change from $100 is then calculated as:

[tex]Change = Amount - Amount (Plot)[/tex]

[tex]Change = \$100 -\$64[/tex]

[tex]Change = \$36[/tex]

Select the correct answer.
Which statement about the inequality 2 < 2$ is true?
OA
OB.
On the vertical number line, 2 is located below 2
On the vertical number line, is located below 25
On the vertical number line, 2ể and 2 are located at the same point.
TICO
N
Է
O c.
OD.
On the vertical number line,
СПІР
and
are both located below 0.

Answers

Answer:

I guess D is the correct answer.

Evaluate f(x) when x= 9

Answers

Answer:

The value of f(9) is equal to 498.

Step-by-step explanation:

Given that,

f(x) = 6x²+12

We need to find the value of x(9).

Put x = 9 in the given function.

f(9) = 6(9)²+12

f(9) = 498

So, the value of f(9) is equal to 498.

the expanded form of (a^2-b^2)^2 is what​

Answers

Answer:

the expanded form of (a^2-b^2)^2 is a⁴-b⁴

Answer:

[tex]( {a}^{2} - {b}^{2} ) {}^{2} \\ {a}^{4} - {b}^{4} [/tex]

-18 - 4y > 20
Can some1 solve this pls?

Answers

Answer:

y < -19/2

Step-by-step explanation:

-18 - 4y > 20

Add 18 to each side

-18+18 - 4y > 20+18

-4y > 38

Divide each side by -4, remembering to flip the inequality

-4y/-4 < 38/-4

y < -19/2

Answer:

y < -9.5

Step-by-step explanation:

-18 - 4y > 20

Add 18 to both sides of the inequality.

-18 + 18 - 4y > 20 + 18

Add -18 + 18 which gets you 0.

0 - 4y > 20 + 18

Subtract 0 - 4y which gets you -4y.

-4y > 20 + 18

Add 20 + 18 to get 38.

-4y > 38

Divide both sides by -4 and change the inequality direction.

y < 38/-4

Cancel out 2 as a common factor from 38/-4.

y < 19/-2

Divide 19 / -2 which gets you -9.5.

-9.5

explain the relationship between the degree of a function and number of zeros of a function​

Answers

They are the same amount.

Which expression is equivalent to (3 x - 5 y) + (x + 2 y)?

Answers

Answer:

4x -3y

Step-by-step explanation:

Write the explicit formula

Answers

Answer:

Step-by-step explanation:

Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is

[tex]A_n=a_1(r)^{n-1[/tex] where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then

a1 = 2 and r = 3. Therefore, the explicit formula is

[tex]A_n=2(3)^{n-1[/tex] and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.

I’m very confused with questions and I need help

Answers

Both equations represent straight lines

The first line has slope of 2 and y-intercept at -3

The second line gas slope of 2 and y-interceot at +3

you may now try to plot these two lines on the paper

Rewrite in simplest radical form X to the power of 5/6 divided by x to the power of 1/6

Answers

Answer:

[tex]\sqrt[3]{x^2}[/tex]

Step-by-step explanation:

x ^ (5/6)   / x ^ (1/6)

We know that a ^b  / a^ c = a^ (b-c)

x^ ( 5/6 - 1/6)

x^ (4/6)

x^ ( 2/3)

[tex]\sqrt[3]{x^2}[/tex]

x^(5/6) / x^(1/6) =
x^(5/6 - 1/6) quotient rule =
x^(4/6) simplify =
x^(2/3)

X to the power of 2/3

Add parentheses to the expression so that its value is 6:

3 + 9 ÷ 9 - 6

Answers

Answer:

3 + 9 ÷ (9 - 6)

Step-by-step explanation:

3 + 9 ÷ (9 - 6) = 3 + 9 ÷ 3 = 3 + 3 = 6

A fan brings a coupon for 30% off of all food and drink. If she buys a hot dog that normally costs $2.50, how much would she have to pay?

Answers

Answer: $1.75

Steps: 30%=0.3

0.3 x 2.50 = 0.75

2.50 - 0.75 = 1.75

pls help i don't understand

Answers

Answer:

Hey Natalia,

I suppose A is just what is on the left and B what 8s on the right

so for 5) it would be

A = 6

and

B = 3

help with khan academy

Answers

Answer:218 degrees

Step-by-step explanation:c

please please help the quarter ends very soon thankyou

Answers

Answer:

no because the box needs to be at least 35 inches long and the box the mother found is only 32 inches long.

Hello how are you I need brainlist but someone answered already

Question 3 math help please show work

Answers

Answer:

Use the referent of an adult stride (about 1 yard) to measure the dimensions of the area that will be covered by sod. Use the dimensions to calculate the area in square yards.

Step-by-step explanation:

This seems to be a relatively vague question, but it was requested so I'll try my best.

There's practically no way to accurately measure the area to be covered by sod without using a reference. I couldn't help but notice the list of references above the question, and I presume they are correlated. Since the length of an adult stride is 1 yard, you can use an adult stride as a reference to relatively accurately measure the dimensions of the area that needs to be covered. The method to find the area varies with the shape of the area, but assuming you can accurately find the area, this is a plausible way to estimate the area needed to be covered by sod. As an alternative, since the question stipulates sod can only be purchased in square yards or square meters, you can use a doorway (about 2 meters) in the list of references above the question to also measure the dimensions of the area. This is less practical because an adult stride is more mobile than a door.

Pink paint is made by mixing 9 parts of white paint with 5 parts of red paint.
Find the number of parts of red paint needed to mix with 54 parts of white paint.

Answers

Answer:

30 parts of red paint

Step-by-step explanation:

9 white-5red

54white-x

(54×5)/9=30

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