Triangle ABC is translated to create triangle DFG, as shown below.
2y + 12 cm
212y - 3) cm
312x + 10) cm
12x + 12 cm
G
In these triangles, side AB is congruent to side DF, and side BC is congruent to side FG. Determine the values of x
andy
Show your work

Answer:

64.8 inches is the correct answer.

Step-by-step explanation:

64.8in

Answer:

4(m+3)=18

m+3=18/4=9/2

m=9/2-3

m=9-6/3

m=3/3=1

so,

m=1

Step-by-step explanation:

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Explanation:

The angle adjacent and supplementary to the 107 degree angle is 73 degrees because 107+73 = 180.

Or you could say 180 - 107 = 73.

The base angles of the upper isosceles triangle are 73 degrees each, which means the third remaining angle (let's call it y for now) is

73+73+y = 180

146+y = 180

y = 180-146

y = 34

Refer to the diagram below. Notice how the 34 degree angle shows up twice because we have vertical angles. Consequently, the base angles of the bottom isosceles triangle are y = 34 degrees each

We can now solve for x

y+y+x = 180

34+34+x = 180

68+x = 180

x = 180-68

x = 112, so the answer is choice D

Answer:

Step-by-step explanation:

Let the required number is x, then we have:

Answer:

We get 666 of something in $ 10.

Step-by-step explanation:

Given that :-

We get 1000 of something for $ 15

Find that :-

How much we can get it in $ 10

Let as assume that : -

Solution :-

$ 15 = $ 10

1000 = x

Using cross multiplication method

15 × x = 10 × 100 0

multiply ,

15 x = 10000

Divide each side by 15.

15 x / 15 = 10000 / 15

x = 666

Answer: n+4

Step-by-step explanation:

Answer: 2617 centimeters cubed

Step-by-step explanation:

The formula for finding volume of a cylinder is [tex]V=\pi r^2h[/tex]

The radius is half of the diamerter which will be 7 for this figure.

The height is marked 17

[tex]\pi 7^2(17)\\\pi (49)(17)\\833\pi \\[/tex]

833π is about 2616.95

Rounded to the nearest whole number it is 2617

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Explanation:

The y intercept of the blue curve f(x) is (0,5)

The y intercept of the red curve g(x) is (0,2)

We see that the y intercept has been shifted down 3 units when going from f(x) to g(x). Overall, the entire f(x) curve has been shifted down 3 units to get the g(x) curve.

Based on that, we would say

g(x) = f(x) - 3

g(x) = (5-x^2) - 3

g(x) = -x^2 + (5 - 3)

g(x) = -x^2 + 2

g(x) = 2 - x^2 ..... answer is choice C

Answer:

2-x^2

Step-by-step explanation:

Answer: the required answer is 1320

Step-by-step explanation:

Total people = 12

Different phone lines = 3

We will choose the person to answer the first phone in 12 ways.

Then choose the second person in 11 ways. (11 people left)

Then choose the third person in 10 ways.  ( 10 people left)

The number of groups of 3 people can answer these lines[tex]12 \times11\times10=1320[/tex]

Hence, the required answer is 1320

Answer:

416

Step-by-step explanation:

26 times 16 is 416

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (x + 6)(x - 8)}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {x}^{2} - 2x - 48[/tex]

[tex] = {x}^{2} - 8x + 6x - 48[/tex]

Taking [tex]x[/tex] as common from first two terms and 6 from last two terms, we have

[tex] =x \: ( \: x - 8 \: ) + 6 \: ( \: x - 8 \: )[/tex]

Taking the factor [tex](x-8)[/tex] as common,

[tex] = (x + 6)(x - 8)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

(X+6)(x-8)

Step-by-step explanation:

Answer:

B 3(m + 3)

Step-by-step explanation:

A 12m  no constant

B 3(m + 3)  Distribute 3m +9  yes

C 27m  no constant

D 3(m + 9)  Distribute 3m +27  wrong constant

Answer:

option A

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45 = opposite / hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex] = s/[tex]8\sqrt{2}[/tex]

[tex]\frac{1}{\sqrt{2} } *8\sqrt{2}[/tex] = s

root 2 and root 2 gets cancel

8 = s

Answer:

x=2,92 or x=_1.51

Step-by-step explanation:

factories out all the brackets first

(3x_3)(3x_2)+(x+6)(x_8)

9x^2_6x_6x+4+x^2_8x+6x_48

add and sutract only like terms

10x^2_14x_44

solve the equation using the quadratic fomula

x =2.91 and x= _1.51

[tex]{\huge{\boxed{\boxed{\red{\bm{\mathsf{Answer}}}}}}}[/tex]

[tex]{\huge{\frac{3^3×3^2}{3^6}^-4}}[/tex]

[tex]{\huge{\frac{3^5}{3^6}^-4}}[/tex]

[tex]{\huge{\frac{1}{3}^-4}}[/tex]

[tex]{\huge{=81}}[/tex]

[tex]{\large{\bm{\mathsf{Be\:Brainly}}}}[/tex]

Answer:

81

Step-by-step explanation:

(3^3 × 3^2 ÷ 3^6)^-4

(27 * 9/ 729)^-4

(243/729)^-4

(1/3)^-4

81

Answer:

$3840.

Step-by-step explanation:

First, write down the formula: I= PRT (Interest= Principle, rate, time). Then you multiply all of the numbers (3000x0.04x7). You get 840, but then you need to add it to the $3000 which already exist, therefor you get your answer of $3840.

I'm not sure it its prob D

Answer:

b.     a = negative 1, b = 5, c = 0

Step-by-step explanation:

y = negative x squared + 5 x

y = -x² + 5x

a = -1

b = 5

c = 0

It's in p/q form where p = 16 and q = 33.

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Work Shown:

x = 0.484848.....

100x = 48.4848.....

I multiplied both sides by 100 to move the decimal over 2 spots. Both decimal values for x and 100x have an infinite string of "48"s repeated after the decimal point. When we subtract, those infinite strings will cancel out

100x - x = 99x

48.4848..... - 0.484848..... = 48

So after subtracting straight down, we have the new equation 99x = 48 which solves to x = 48/99

Divide both parts by the GCF 3 to fully reduce

48/3 = 16

99/3 = 33

Therefore, x = 48/99 = 16/33 = 0.484848...

I recommend using a calculator to confirm that 16/33 = 0.484848...

Side note: your calculator may round the last digit, but this is of course rounding error

Answer: The distance left after 20 days is 1350 miles

Step-by-step explanation:

To calculate the distance, we use the formula:

[tex]s=\frac{d}{t}[/tex]

where,

s = speed of the bicycle = 90 miles/day

t = time taken = 20 days

d = distance travelled = ? miles

Putting values in above equation, we get:

[tex]d=(90miles/day\times 20days)=1800 miles[/tex]

Total distance to the destination = 3150 miles

Distance travalled in 20 days = 1800 miles

Distance left after 20 days = [3150 - 1800] = 1350 miles

Hence, the distance left after 20 days is 1350 miles

Answer:

2nd

Step-by-step explanation:

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Answer:

The principal is $2400

Step-by-step explanation:

Given

[tex]P = \$24000[/tex]

[tex]t = 9[/tex]

[tex]r =12\%[/tex]

[tex]I = \$25920[/tex]

Required

The principal amount

The principal amount is the amount invested.

From the question, we understand that $24000 was invested.

Hence, the principal is $24000

Step-by-step explanation:

2/3=0.66666666666

4/5=0.80000000000

10 rational numbers between them

0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79

Answer:

67/100, 68/100, 69/100, 70/100, 71/100 72/100, 73/100, 74/100, 75/100, 76/100.

9514 1404 393

Answer:

Step-by-step explanation:

For a loan value of 1, the monthly payment on a 30 year loan at 7% is ...

  A = (0.07/12)/(1 -(1 +0.07/12)^(-12·30)) ≈ 0.00665302495

Then the amount repaid after 360 payments is ...

  360A = 2.39508898 . . . times the principal amount

__

a) For a monthly payment of $1050, the principal can be ...

  $1050/0.00665302495 ≈ $157,823

__

b) The amount repaid to the loan company is ...

  $157,823×2.39508898 ≈ $378,000

__

c) The amount that is interest is ...

  $378,000 -157,823 = $220,177

Answer:

-1

Step-by-step explanation:

x^2 – 8

-----------

x + 6​

Let x = -2

(-2)^2 – 8

-----------

-2 + 6​

Exponents first

4 – 8

-----------

-2 + 6​

Then complete the numerator and denominator

-4

-----

4

Then divide

-1

Answer:

-1

Step-by-step explanation:

((-2)^2 - 8)/ -2+6

=>(4-8)/4

=>-4/4

=>-1

Answer:

Step-by-step explanation:

?

Answer:

B

Step-by-step explanation:

Let the number = x

2/5 (x - 1)

<

3/5 (x + 1)

2/5 (x - 1 ) < 3/5(x+ 1)      Multiply both sides  by 5

2(x - 1) < 3 ( x + 1)            Remove the brackets.

2x - 2 < 3x + 3                Add 2 to both sides

2x < 3x + 5                     Subtract 3x from both sides

2x - 3x < 5              

- x < 5                            Here's the tricky part . Divide by - 1

x > -5                             Notice what happened. The < become > That happens because you have divided (or multiplied) by a negative number.

The original question 2/5 (x - 1 ) < 3/5(x+ 1)    was graphed. The red part is every value that satisfies the inequality. You should be using a y and x together to find a more suitable answer using this program. But if you just look along the x axis, you will see that the < has been turned around.

B The second one from the top.

Answer:

32

Step-by-step explanation:

52=x+20

52-20=x+20-20

32=x

Answer:

2. He finds 50° on the protractor and draws a mark on the paper.

Step-by-step explanation:

Construction is a topic that requires a step wise procedure during the process. In the given question, since Jimmy wish to draw an angle of 50°, he should locate the angle on his protractor and draw a mark on the paper. This is with respect to the previous steps observed.

The essence of the protractor is for Jimmy to accurately measure the angle. Thus he has to determine the angle by the use of a protractor before the construction can be complete.

Therefore the required procedure in step 3 is he finds 50° on the protractor and draws a mark on the paper.

Answer He finds 50° on the protractor and draws a mark on the paper.