After a congruence transformation, how would the perimeter of the triangle be?

Answer:

-x-15

Step-by-step explanation:

Expand using the FOIL Method.

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[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {-(x+15)}}}}}}[/tex]

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

➺[tex]\:( {x}^{2} - 5)(x + 3) + (x + 4)(x - {x}^{2} )[/tex]

➺[tex] \: {x}^{2} (x + 3) - 5(x + 3) + x(x - {x}^{2} ) + 4(x - {x}^{2} )[/tex]

➺[tex] \: {x}^{3} + 3 {x}^{2} - 5x - 15 + {x}^{2} - {x}^{3} + 4x - 4 {x}^{2} [/tex]

Combining like terms, we have

➺[tex] \: {x}^{3} - {x}^{3} + 3 {x}^{2} + {x}^{2} - 4 {x}^{2} - 5x + 4x - 15[/tex]

➺[tex] \: - x - 15[/tex]

➺[tex]\: - (x + 15)[/tex]

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

Answer:

(D) $1 050

Step-by-step explanation:

Simple interest = 7000 × 3 × 5/100 =

70 x 15 = 1 050

Answer:

134.04 cubic units

Step-by-step explanation:

Step 1

Find the Volume of the Sphere

Formula = 4/3πr³

r= radius = 4

Hence,

Volume = 4/3 × π × 4³

= 268.08 cubic units

Step 2

Find the Volume of the cylinder

Formula = πr²h

r = radius = 4

h = Height = Diameter of the sphere

Radius of a sphere = 4

Diameter = Height of cylinder = 2 × r = 2 × 4 = 8

Hence: π × 4² × 8

= 402.12 cubic units

Step 3

The expression that describes the volume of the cylinder that is not occupied by the sphere = Volume of Cylinder - Volume of sphere

= 402.12 cubic units - 268.08 cubic units

= 134.04 cubic units

The expression that describes the volume of the cylinder that is not occupied by the sphere is 134.04 cubic units

We have given radius of sphere is 4

[tex]V= 4/3\pi r^3[/tex]

r= radius

We have given that r=4

[tex]Volume = 4/3 \times \pi \times 4^3[/tex]

V= 268.08 cubic units

[tex]Formula = \pi r^2h[/tex]

r = radius = 4

h = Height = Diameter of the sphere

Radius of a sphere = 4

Diameter = Height of cylinder

= 2 × r

= 2 × 4

= 8

Therefore we get

[tex]V=\pi \times 4^2 \times 8[/tex]

V= 402.12 cubic units

The expression that describes the volume of the cylinder that is not occupied by the sphere = Volume of Cylinder - Volume of sphere

= 402.12 cubic units - 268.08 cubic units

= 134.04 cubic units

Therefore the expression that describes the volume of the cylinder that is not occupied by the sphere is

(402.12  - 268.08) cubic units.

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Answer:

229°

Step-by-step explanation:

(180- 32) + (180 - 99)

148 +81

= 229°

Answer:

(x + 1, y - 3)

Step-by-step explanation:

The translation is 1 unit right and 3 units down.

Answer:

x+1 y-3

Step-by-step explanation:

Because with any of the points it goes to the right 1 and down 3

Answer:

C = 32π

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 16 = 32π units

Answer:

P=100(A-R)/RT

Step-by-step explanation:

A-R=PRT/100

100(A-R)=PRT

100(A-R)/RT=P

P=100(A-R)/RT

Answer:

x + y = 248

Step-by-step explanation:

Using the property : Sum of co- interior angles = 180

[tex]\angle y + 56 = 180\\\\\angle y = 180 - 56 = 124\\\\\angle x + 56 = 180\\\\\anle x = 180 - 56 = 124\\\\\angle x + \angle y = 124 + 124 = 248^\circ[/tex]

The value of 'x' and 'y' are 124° and 124°, respectively. Thus, the value of the expression x + y will be 248°.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides and angles are parallel and equal.

According to the definition, the value of 'x' and 'y' will be equal.

And the sum of adjacent angles will be 180 degrees. Then the equation is given as,

x + 56° = 180°

x = 124°

The sum of 'x' and 'y' is given as,

x + y = 124° + 124°

x + y = 248°

More about the parallelogram link is given below.

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Answer:

B

Step-by-step explanation:

tan28=tan (90-62)=cot 62=1/tan 62

Answer:

D

Step-by-step explanation:

YD and TH

TH is in HOT and YD is in DAY

They go from end to the front in the same way

Making a straight line from left to right that are on the same place

Answer:What’s the link about ?

Answer:

[tex]r^{6}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{r^{9} }{r^{3} }[/tex] = [tex]r^{(9-3)}[/tex] = [tex]r^{6}[/tex]

Answer:

77

Step-by-step explanation:

10*2+9+3*4^2

10*2+9+3*16

20+9+48

20+57

77

Answer:

Solution is 769/25

Alternate form: 30.76

Step-by-step explanation:

convert decimal into fractions and than solve accordingly.

Answer: Wowwww that ain't good at all and sooo not fair if Peter worked three more days than Jill but still only got twenty bucks. That's pretty sad.

Step-by-step explanation:

Answer:

The money was invested at an interest of 14.28% per year.

Step-by-step explanation:

To determine at what percent rate of compound interest per year will the compound interest on $ 343000 be $ 169000 in 3 years, the following calculation must be performed:

343,000 x (1 + X / 1) ^ 3x1 = 343000 + 169000

343,000 x 1 + X ^ 3 = 512,000

1 + X ^ 3 = 512,000 / 343,000

1 + X ^ 3 = 1.4927

1 + 0.14286 ^ 3 = 1.4927

1.4927 = 1.4927

X = 0.14286 x 100 = 14.28%

Therefore, the money was invested at an interest of 14.28% per year.

Answer:

Perpendicular and parallel

Answer:

D

Step-by-step explanation:

-3x^2+9x-6

because if it's roots are 1 and 2 since if you plug them in you get zeros and if you plug in 3 you get the point -6 corresponding to the point (3,-6)

Answer:

d

Step-by-step explanation:

Answer:

[tex]P=1259.26N/m^2[/tex]

Step-by-step explanation:

From the question we are told that:

Force [tex]F=68N[/tex]

Area [tex]A=540cm^2=0.054m^2[/tex]

Generally the equation for Pressure is mathematically given by

 [tex]P=\frac{F}{A}[/tex]

 [tex]P=\frac{68}{0.054}[/tex]

 [tex]P=1259.26N/m^2[/tex]

Step-by-step explanation:

yes friend and your answe is wring

Answer:

THE ANSWER IS NOT C / 3

THE ANSWER IS "A"

Step-by-step explanation:

all the "hard" work is done (the numbers)...

lets start with the "units" at the end of the problem you have to have mm/day... so just start crossing out "top to bottom" when you see the same unit on the top and bottom... if you se day in the numerator and day in the denominator cross them out...

Do that and the one that has mm on the top and day on the bottom is the answer...

Step #2 ... two of the answers have that ... so now look for "silly fractions"

something like 1 year/ 999 days... your problem does not have totally silly things like that , but the WRONG answer has  1mm/ 10 cm (or something like that ) there is 10 mm in 1 cm, you choices has that opposit in one answer.

Answer:

12

Step-by-step explanation:

6 and 4 are factors of 12

6, 12

4, 8, 12

Answer:

I think so

Step-by-step explanation:

Im kinda cunfused too

Answer:

for No1 answer is 0. for no 2 answer is 9.

Step-by-step explanation:

for no 3 answer is 14. no 4 =5,no 5 = 0 ,no 6= -16/3 ,no 7 =-3 ,no 8=180 and no 9 = 3

Answer:

3p(5p + 8t)

Step-by-step explanation:

15p^2 + 24pt

3(5p^2 + 8pt)

3p(5p + 8t)

The completely factored form of 15p^2 + 24pt is 3p(5p + 8t).

To factorize the expression 15p^2 + 24pt using superscripts, we can follow the same steps as before.

First, let's find the GCF of the coefficients 15 and 24, which is 3:

GCF(15, 24) = 3

Next, we'll look for the GCF of the variables p^2 and pt, which is p:

GCF(p^2, pt) = p

Now, we can factor out the GCF from each term:

15p^2 + 24pt = 3p(5p + 8t)

Therefore, the completely factored form of 15p^2 + 24pt is 3p(5p + 8t).

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Answer:

105˚, 75˚

Step-by-step explanation:

<2 is 75˚ by same side angles of a transversal.

<1 is supplementary to <2 so 180-75 = 105˚

Answer:

A) 10-14

B) 45

C) 6.7%

Step-by-step explanation:

A) The interval that contain the most values can be gotten by looking at the histogram and selecting the interval with the highest frequency. Hence the interval 10-14 contains the most values because it has a frequency of 20.

B)The total number of swimmers is gotten by summing all the frequency of each individual lap. Hence:

Total swimmers on team = 10 + 12 + 20 + 0 + 3 = 45 swimmers

C) The percentage of swimmers who swam more than 14 laps = (number of swimmers that swam more than 14 laps/total swimmers) * 100%

The percentage of swimmers who swam more than 14 laps = [(0 + 3)/45] * 100% = (3/45) * 100% = 6.7%

Answer:

5 ÷ 1/3

5 × 3/1

5 × 3

=15

Step-by-step explanation:

the answer is 15

Answer:

Step-by-step explanation:

0.28*53+7.50=22.34 dollars