triangle ABC is similar to triangle DEF. The ratio of the lengths of the corresponding sides of triangle ABC to triangle DEF is 2:3 what is the measure of DF

Answer:

y=[tex]\frac{-5}{4}[/tex]x + [tex]\frac{-1}{ 4}[/tex]

Step-by-step explanation:

4x-1=5y
4/5 is the original slope and negative [tex]\frac{5}{4}[/tex] is the perpendicular slope.
Using that to put (-3,4) and the slope into point-slope form:
y-4=[tex]\frac{-5}{4}[/tex](x+3)
distribute and isolate y

y=[tex]\frac{-5}{4}[/tex]x + [tex]\frac{-1}{4}[/tex]

Answer:

y = -5/4x + 1/4

Step-by-step explanation:

*Pependicular line have negative reciprocal slopes*

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

4x - 5y = 1 <== subtract 4x from both sides

-4x       -4x

-5y = -4x + 1 <== divide both sides by -5

/-5         /-5

y = 4/5x - 1/5

Find the Negative reciprocal of the line:

Steps:

1. Take your original slope (4/5)

2. Flip it (5/4)

3. Change the sign (-5/4)

The slope of the perpendicular line would be: -5/4 (y = -5/4x + b)

We need to find the y-intercept (b) for the perpendicular line using (-3, 4):

y = -5/4x + b <== substitue -3 for x and 4 for y

4 = -5/4(-3) + b

4 = 15/4 + b <== multiplify both sides by 4

4(4 = 15/4 + b)

16 = 15 + 4b <== subtract 15 from both sides

-15  -15

1 = 4b <== divide both sides by 4

/4  /4

1/4 = b

y = -5/4x + b changes to y = -5/4x + 1/4

Hope this helps!

Answer:

f(0) = 1

Step-by-step explanation:

when x = 0 then 0 ≤ x < 2 at x = 0 then f(0) = 1

Answer:

14000

Step-by-step explanation:

The number in the thousands place is 4 so we look at the number after it which is 2:

Using the rounding rule, the number 2 is below 5 so we keep the 4 at 4:

So our answer is 14000.

Answer:

14000

Step-by-step explanation:

Since they are asking for us to round it to the nearest thousands, we have to look at the hundreds place to figure out whether we should round up or down. The number in the hundreds place is 2, and that means we round down to 14000 ("four or less, let it rest. five or more, raise the score").

Therefore, 14295.67 rounded to the nearest thousand is 14000.

I hope this helps! Have a lovely day!! :)

If the monthly payments mad s $200, the number of months it would take to pay off the loan is 46.54 months.

The first step is to determine the total value of the loan.

Total value of the loan = (1 + interest) x amount of the loan

Amount of the loan = 9000 - 500 = $8,500

Total value of the loan = (1.095) x $8500 = $9307.50

Number of months it would take to pay off the loan = total value of the loan / monthly payments

$9307.50 / 200 = 46.54 months

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Answer:

The answer is 11/21 or 0.52 cubic units

Step-by-step explanation:

Now,

V = 4/3 × 22/7 × (1/2)³

V = 4/3 × 22/7 × 1/8

V = 1/3 × 11/7 × 1

V = 11/21 = 0.52 cubic units

Thus, The volume of sphere is 11/21 or 0.52 cubic units.

[tex]\textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=13\\ A=104\\ h=x \end{cases}\implies 104=(13)(x)\implies \cfrac{104}{13}=x\implies 8=x[/tex]

The total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

To calculate the percentage part of number, multiply it with the original number and divide with 100.

Tom is exchanging money for his trip to india. The exchange rate of us dollars to indian rupees is,

[tex]r=\dfrac{1}{45.897}[/tex]

Tom needs 11,550 rupees. The dollars need for 11550 Indian rupees are,

[tex]n=\dfrac{11550}{45.897}\\n=251.65[/tex]

The currency exchange service he is using charges a fee of 7.25% after the exchange is made. Thus the total dollar requied after the service charge is,

[tex]n=251.65+\dfrac{7.25}{100}\times251.65\\n=251.65+18.245\\n=269.895\\n\approx270[/tex]

Thus, the total US dollars it cost to Tom to get the rupees he wants for the trip of India is $270 round to the nearest dollar.

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Equations of circles are typically organized in the following form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We're given:

Plug the given information into [tex](x-h)^2+(y-k)^2=r^2[/tex]:

[tex](x-0)^2+(y-7)^2=9^2[/tex]

[tex]x^2+(y-7)^2=81[/tex]

[tex]x^2+(y-7)^2=81[/tex]

Answer:

a

Step-by-step explanation:

sorry if it's wrong

Answer:

(0,-4), (2,6), and (4, 16) are solutions to this equation.

Yes the point (-5,-29) is a solutions

Step-by-step explanation:

(-5,-29) is a solution because if you plug in -5 for x, y will equal to the y in the ordered pair.

a) Three ordered pairs (0, -4), (2, 6), and (-3, -19) that are solutions to the linear equation y = 5x - 4.

b) We verified that the point (-5, -29) is a solution to the equation by substituting its x and y values and getting a true statement.

a. To find ordered pairs that are solutions to the linear equation y = 5x - 4, we can simply substitute different values of x into the equation and calculate the corresponding y-values.

Let's choose three different values for x and calculate the corresponding y-values:

When x = 0: y = 5(0) - 4 = -4

So, the ordered pair is (0, -4).

When x = 2: y = 5(2) - 4 = 6

So, the ordered pair is (2, 6).

When x = -3: y = 5(-3) - 4 = -19

So, the ordered pair is (-3, -19).

b. To test whether the point (-5, -29) is a solution to the linear equation y = 5x - 4, we need to check if substituting x = -5 into the equation gives us y = -29.

Let's do the calculation:

y = 5(-5) - 4

y = -25 - 4

y = -29

Since y = -29 when x = -5, the point (-5, -29) is indeed a solution to the linear equation.

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Answer:

y=6

Step-by-step explanation:

When you put the points on a plane, you can see it is a horizontal line, therefore the slope is 0

Remember that 0 times any other number is 0

So, instead of having y=0x+6 you can simplify the 0x and you have y=6

12 + 5 = P + 360° - (90° x 2)

17 = 360°P - 180°

17 = 180° => P = 180° - 90° = 90° => P - 5 = P + (5 + 12) => P = 14 in <90 5 CM Angle, P = 14 - 1 = 13 without offset

13

Answer:

40.84

Step-by-step explanation:

5cm^2 +25cm^2=169

sqaure root of 169 =13

13= diameter

6.5= radius

2 pie r = circumference

6.5x2 pie = 40.84

25.46 ft

To find the vertical stripe of the kite,we'll use this formula

where,

Inserting the value of 'a' ( 18ft) in the formula,

we get,

hence , the length of the vertical stripe of the given square kite = 25.46 ft

Answer:

C. 648 in.

Step-by-step explanation:

Answer:

The solution is 215/2

Step-by-step explanation:

2×21,5÷2/5

= 2×43/2×5/2

= 43/2×5

= 215/2

= 107 1/2

Answer:

f(-1)=2(-1)+5 = 3

f(2)=2(2)+5 = 9

f(0)=2(0)+5 = 5

2z+5

since the rate is a weekly basis, the period will also be in a weekly basis, so t = 4, assuming a month to be 4 weeks.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$50\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=weeks\dotfill &4 \end{cases} \\\\\\ A=50[1+(0.05)(4)]\implies A=50(1.2)\implies A=60[/tex]

Given Equation :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]

To Find :

Solution :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]

We are to find two numbers such that,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad p \times q = 22 \:}}} \\ \\[/tex]

The two numbers are 2 and 11, so

[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + ( - 2x) + 11x - 22 = 0 \:}}} \\ \\[/tex]

Finding common factors :

[tex]{\longrightarrow \pmb{\sf {\qquad {x} (x - 2) + 11(x - 2) = 0 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (x - 2)(x + 11) = 0 \:}}} \\ \\[/tex]

Whether, the value of x is :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x - 2) = 0 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad x = 2 \:}}} \\ \\[/tex]

Or, Whether the value of x is :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x + 11) = 0 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad x = - \: 11 \:}}} \\ \\[/tex]

So,

Answer:

A) –11

D) 2

Step-by-step explanation:

Got it right on edge!

Answer:

Y = 40

Step-by-step explanation:

First, find the slope-intercept of the table

Slope-intercept form: y = mx + b

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

(3, 1) and (6,2)

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-1}{6-3}\\\\m=\frac{1}{3}[/tex]

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{3}x+b[/tex]

Find b using (6,2):

[tex]y=\frac{1}{3}x+b\\\\2=\frac{1}{3}(6)+b\\\\2=\frac{6}{3}+b\\\\2=2+b\\\\-2\ -2\\\\0=b[/tex]

[tex]y=\frac{1}{3}x+b== > y=\frac{1}{3}x+0== > y=\frac{1}{3}x[/tex]

[tex]y=\frac{1}{3}x[/tex]

What will be the value of Y when X = 120?

Substitute 120 for x into [tex]y=\frac{1}{3}x[/tex]

[tex]y=\frac{1}{3}x\\\\y=\frac{1}{3}(120)\\\\y=\frac{120}{3}\\\\y=40[/tex]

(120, 40)

Therefore, when X = 120, Y = 40

Hope this helps!

Answer:

Option 3 (left object volume = right object volume)

For explanation:

The volume of a slanted cylinder is nothing but the same volume as the volume of the right circular cylinder of the same height

I hope my answer helps you.

Answer:

10

Step-by-step explanation:

First we figure out the area of the triangle!

8 x 6 = 48

48/2 = 24

Now we multiply to figure out the area of the rectangle :)

24 x 5 = 120

Now we divide 120 by 12 to figure out the width!!

120/12 = 10

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

10

Step-by-step explanation:

area of triangle = 1/2 x 8 x 6 = 24

area of rectangle = 5 x 24= 120

area of rectangle = length x width

120 = 12 x w

w = 10

u²= s²+t²

= 4.3²+4.9²

= 42.5

u= V42.5

= V170 /2

≈6.52

Answer:

6.519 cm

Step-by-step explanation:

Mmkay, so, you have to use the Pythagorean Theorem to find the actual length, which is a^2 + b^2 = c^2

a = 4.9 cm

b = 4.3 cm

4.9^2 is 24.01

4.3^2 is 18.49

Now add the two together:

24.01 + 18.49 = 42.5

Finally, we need to find the square root of 42.5

sqrt(42.5) = 6.519 cm

(rounding to nearest thousandth cuz it said so right by the answer box lol)

Hope this helped :D

Answer:

38 minutes

Step-by-step explanation:

You have to see how long between the beginning time and ending time.

Hope this helps.

14)

The missing value is 42.

15)

The missing value is 17.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

14)

0.5 x ( 8 + ___ ) = 25

We will write in terms of x.

0.5 x (8 + x ) = 25

8 + x = 25/0.5

8 + x = 50

x = 50 - 8

x = 42

15)

165 = 5 x ( 16 + __ )

We will write in terms of x.

165 = 5 x ( 16 + x )

165/5 = 16 + x

x = 33 - 16

x = 17

Thus,

The missing value of x is 42 and 17.

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Answer:

30 degrees

Step-by-step explanation:

The angles of each side of a hexagon is 120 degrees.

The sum of interior angles in a shape is (n-2) * 180.

So,

(6-2) * 180 = 4 * 180 = 720 degrees

This is the total degrees of the hexagon.

Dividing the total degrees by 6 angles gives us 120 degrees for each angle.

Angle AEF = angle FED - angle AED.

Angle FED = 120 degrees

Angle AED = 90 degrees

120 - 90 = 30 degrees

Answer:

The answer is A

Step-by-step explanation:

An angle measure with an arc length equal to one radius length.

Given,

Radian.

Here,

Radian : An angle measure with an arc length equal to one radius length.

Radian is a measure of angle .

Degree measurements can be converted into radians.

For example,

30° = 30° × π/180°

30° = π/6

Thus radians can be converted into degrees by vice versa .

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Answer:

4, 8, 12, 13

In order to find the mean you must add all of the values together and then divide by the number of numbers. 4 + 8 + 12 + 13 = 37

Now we divide: 37 ÷ 4 = 9.25

So the mean is 9.25

Answer:

226.224 cm^3

Step-by-step explanation:

Formula :

[tex]\pi r ^{2} h[/tex]

Pi = 3.142

[tex]\pi \times 3 ^{2} \times 8[/tex]

[tex] = 226.224cm ^{3} [/tex]