Select the three ratios that describe the model.

Answer:

Triangle ABC and triangle EDF

The similar triangles are Δ ABC ~ Δ EDF ~ Δ GHI, both the triangles are similar to Δ ABC.

Triangles are similar when their corresponding sides are equal ratios and their corresponding angles are congruent.

Given are triangles, Δ ABC, Δ EDF and Δ GHI,

Since, in Δ ABC and Δ EDF, two angles are shown congruent therefore, both are similar.

Also,

In Δ GHI,

∠ G + ∠ I = 129°

∠ H = 180° - 129°

∠ H = 43°

Since, we get, two angles congruent in both triangles Δ EDF and Δ GHI

Therefore, both the triangles Δ EDF and Δ GHI are similar,

Now,

Since, Δ ABC ~ Δ EDF and Δ EDF ~ Δ GHI,

Therefore, Δ ABC ~ Δ EDF ~ Δ GHI,

Hence, the correct option is "Both"

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Answer:

A) 29.0 mpg

you divide 471 by 16.25

Answer:

x=5

Step-by-step explanation:

Angles in a triangle adds up to 180 degrees

so 105 + (6x+20) + (7x-10) = 180

simplify

115+13x=180

subtract 115 to each side

13x=65

divide by 13

x=5

check work

105 + (6(5) + 20) + (7(5) -10)

105 + (30 +20) +(35 - 10)

105 + 50 + 25 = 180

Answer:

1×1÷11. 5×3=15. 7×7=49 3×5=15 I'm not really sure but is there's anything else

The input value that gives an output of 19 is not listed in the answer choices. None of the options are correct.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
We can start by setting up the equation:

2x² + 3x + 5 = 19

Subtracting 19 from both sides:

2x² + 3x - 14 = 0

(2x - 7)(x + 2) = 0

Using the zero product property, we can solve for x:

2x - 7 = 0 or x + 2 = 0

2x = 7 or x = -2

x = 7/2 or x = -2

Therefore, the input value could be either 7/2 or -2.

The answer choices do not include 7/2, but we can check both input values to see which one gives an output of 19:

f(7/2) = 2(7/2)^²+ 3(7/2) + 5 = 19.25

f(-2) = 2(-2)² + 3(-2) + 5 = 3

Thus, the input value that gives an output of 19 is not listed in the answer choices.

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Answer:

45

Step-by-step explanation:

it is  blah blah this is the best you multiply by 5 add 40 subtract 5 and add 5 again

Answer:

292.4

Step-by-step explanation:

Answer:

292.4

Step-by-step explanation:

Use the mean formula: sum of elements / number of elements

Plug in the numbers:

(300 + 222 + 285 + 310 + 345) / 5

1462 / 5

= 292.4

So, the mean is 292.4

Answer:

C

Step-by-step explanation:

There can be multiple solutions when two lines intersect.

Answer:

(a) $768

Step-by-step explanation:

Faye borrowed $9600 at 8% interest compounded per annum.

Solution for question (a):

Amount accumulated is given by;

A = P(1 + [tex]\frac{r}{n}[/tex][tex])^{nt}[/tex]

Where A is the amount, P is the pricipal, r is the rate, n is the number of times in a year, and t is the number of years.

So the amount after one year was;

A = 9600(1 + [tex]\frac{8}{1 * 100}[/tex][tex])^{1 * 1}[/tex] = 9600 × 1.08 = 10368

Interest = Amount - Principal = $10368 - $9600 = $768

a.  The interest on the loan for the first year is $768.

b. The amount she still owe at the beginning of the year is $6,000.

c. The interest on the remaining balance for the second year is $480.

a. Interest on loan:

Interest on loan=$9600 × 8%

Interest on loan=$768

b. Amount owed

Amount owed=$9,600+$768-$4368

Amount owed=$6,000

c. Interest on remaining balance :

Interest on remaining balance=$6,000×8%

Interest on remaining balance=$480

Inconclusion the interest is $768, amount owe is $6,000 and Interest on remaining balance is $480.

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Answer:

-55 = b

Step-by-step explanation:

If you fill in the x and the y with the equation you have below, you would get:

-4 = 17(3)+b

Multiply 17 and 3

-4 = 51 + b

-55 = b

Answer:

y=17x-55

Step-by-step explanation:

4 = 17(3)+b

-4 = 51 + b Subtract 51 both sides

-55 = b

Hope this helps :)

Answer:

x-intercept = 4

y-intercept = -1

As ordered pairs they would be ( 4, 0) and ( 0, -1)

Step-by-step explanation:

The line goes through 4 on the x line and goes through -1 on the y line.

As an ordered pair you just put the numbers in their x and y spots being ( x, y )

With 4 being on the X and -1 being on the Y it would make them ( 4, 0) and

( 0, -1).

Answer:

it would be 19/15k

Step-by-step explanation:

Answer:

Hi! I think it's 15/8t and 19/15k

Answer:

c.

Step-by-step explanation:

when the fish swam down 55, you moved 55 to the left of zero. then when he swam 30 up, you take that 55 and move it 30 towards to the right. since -55 is greater than 30, your answer is still negative. -55+30=-25.

Answer:

C

Step-by-step explanation:

Answer:

Order the data from least to greatest.

Find the median.

Calculate the median of both the lower and upper half of the data.

Ask me if you need more help!

Step-by-step explanation:

Answer:

31.5

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

-28 divided by -7 equals to 4

Hope this helps!!

Answer: y = 4

Step-by-step explanation:

-7y/-7 = -28/-7 So, Both the -7's cancel out and your left with y= you divide -28 by -7. When you divide both of the numbers you get a positive 4.

Answer:

fwufuhwwhfwfweofwefwef

Step-by-step explanation:

Answer A. 3 mph

A. 3 mph

Answer:

False

Step-by-step explanation:

-x^2+x is the same as x-x^2.

Only difference is the way it's written.

Answer:

The factorization of the given expression is [tex](c - 7)(c+7)[/tex].

Step-by-step explanation:

Consider the provided information.

[tex]c^2-49[/tex]

Use the formula of the difference of the square in order to factorize the given expression: [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]c^2-49=c^2 - 7^2[/tex]

[tex]c^2-49=(c - 7)(c+7)[/tex]

Hence, the factorization of the given expression is [tex](c - 7)(c+7)[/tex].

Answer:

QR = 1.3

Step-by-step explanation:

Sides TQ and TS are congruent, thus Δ QST is isosceles.

RT is a perpendicular bisector, that is it bisects QS at right angles, thus

QR = RS = 1.3

The measure of length of QR is 1.3 units.

Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.

In the given triangle TQS, QT=TS=4.7 units, so triangle TQS, isosceles triangle.

In isosceles triangle TQS, TR is the perpendicular bisector.

Then QR=RS= 1.3 units

Therefore, the measure of length of QR is 1.3 units.

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Answer:

1. 5b-3

2. 6-b

3. 7-5b

4. 6+4b

Answer:

d

Step-by-step explanation:

because it's the same number

The absolute value of the number 0.75 is 0.75 .

Absolute value of a number is the distance value from zero without considering sign of a number. It is also represented as |x|, where x is any number.

Absolute value of a positive number is that same positive value. Distance of a positive number from zero is that positive number.

So absolute value of 0.75;

|0.75| = 0.75

Therefore, the absolute value of the number 0.75 is 0.75 .

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Answer:

14 and 17

Step-by-step explanation:

(X+3)(x+6)0.5=119

x^2+9x+18=238

x=11

11+3=14

11+6=17

Answer:

y = -1/4x + -6

Step-by-step explanation:

Answer:

3,400

Step-by-step explanation:

Answer: 10.5882353 I think I DO NOT PROMISE THIS IS RIGHT

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Answer:

Question 7: Company A has a lower rate

Question 8: Caiden's vehicle gets more miles per gallon

Step-by-step explanation:

Question 7:

According to the table for Company B's rates, if you divide the total cost by the square footage in each row, you would get $2.75/ft² each time. Therefore, Company A would charge the Smiths a lower cost per square foot.

$2.25/ft² < $2.75/ft²

Company A < Company B

Question 8:

Using the given equation, we already know that Caiden's vehicle has a gas mileage of 16.2 miles/gallon The graph for Ethan's gas mileage can be figured out using slope. Taking the points (0, 0) and (2, 30) on the line, we can figure out the line's slope.

slope = rise/run,

where "rise" is how much you add or subtract to get from the first y-value to the second, and "run" is how much you add or subtract to get from the first x-value to the second.

slope = rise/run

slope = 30/2

slope = 15/1

The slope of the line is 15, so that means the line's equation is y = 15x. Therefore, Ethan's gas mileage is 15 miles/gallon.

16.2 mpg > 15 mpg

Caiden > Ethan