Plot point F so that ABC is congruent to FGH. Identify a sequence of rigid motions that maps ABC onto FGH and use a theorem to complete the explanation of why the triangles are congruent.

Answer:

The total compound interest is $3,488.50, I hope I helped explain how to find total compound interest

Step-by-step explanation:

So the formula for this would be:

A = P(1+r/n)^nt

A = the amount of your principal plus interest, which is the total

P = stands for the principal, which is your original amount invested

r = shows the interest rate in decimal form

n =  stands for the number of compounding periods

So to solve for the compound interest we would plug in our numbers in replacement for the letters

Answer:

Jacob lost the biggest percentage of his starting weight.

Jacob: 8%

Timothy: 6.4%

Hamza: 7.5%

Formula: (initial weight - new weight)/initial weight times 100.

Step-by-step explanation:

Jacob: 225 pounds - 207 pounds = 12 pounds

x/100 = 12/225

= 1800/225

= 8%

Timothy: 200 pounds - 188 pounds = 12 pounds

x/100 = 12/188

= 1200/188

= 6.4%

Hamza: 280 pounds - 259 pounds = 21 pounds

x/100 = 21/280

= 2100/280

= 7.5%

w=0

Step-by-step explanation:

-1.01=1.4(w+2)-2.41

-1.01=1.4w+2.8-2.41

-1.01=1.4w+0.39

-1.01-0.39=1.4w

+1.4=1.4w

1.4/1.4=w

0=w

So,the answer is w=O

I hope it is very helpful

Answer:

b=9

Step-by-step explanation:

since a varies directly as b,

a=kb

k=a/b

k=8/3

but when a=24, b will be given by

b=a÷k

b=24÷8/3, b=24×3/8

b=9

Answer:

jjztztjsyiydkkyddyoydoxhkyxyxi

Step-by-step explanation:

hmxkhxkyxhmxykxm

Step-by-step explanation:

[tex]1) \: \: 2x - 2y + z = 3 \\ 2x = 3 + 2y - z \\ x = \frac{3 + 2y - z}{2} \\ \\ 2) \: \: \: not \: any \: \: \: x \: \: \: available \: \: \\ \\ 3) \: \: x + 3y + 2z = - 21 \\ x = - 21 - 3y - 2z[/tex]

Answer:

x= -5

Step-by-step explanation:

5y-z= -31, add z and 31 to both sides

5y+31 = z, substitute z in the other two given equations

2x - 2y+z=3

2x-2y +5y+31 = 3, combine like terms and subtract 31 from both sides

2x+3y = -28

x+ 3y + 2z = -21

x+3y +2(5y+31) = -21, distribute 2 over the addition parenthesis

x+3y +10y+62 = -21, combine like terms and subtract 62 from both sides

x+13y = -83

Now we have 2 equations  with 2 variables x and y to solve

2x+3y = -28

x+13y = -83

Because we need to find x then from the first equation we can write that

3y = -2x-28, subtract 2x from both sides and the divide both sides by 3

y = (-2x-28)/3, substitute this in the second equation

x + [13(-2x-28)/3] = -83 , distribute 13 . over the subtraction parenthesis

(3x/3)+[(-26x - 364) /3= -83, find the common denominator

3x+[(-26x - 364) = -83*3 , cross multiply

3x -26x = -249 +364, add 364 to both sides

- 23x = 115, divide both sides by (-23)

x= -5

Answer:

24

Step-by-step explanation:

the negatives cancel each other out

Answer:

[tex]{ \rm{V(x) = 4x {(10 - x)}^{2} }} \\ \\ { \rm{ \frac{dv}{dx} = 4 {(10 - x)}^{2} + 4x( - 2(10 - x))}} \\ \\ { \rm{ \frac{dv}{dx} = 4 {(10 - x)}^{2} + 4x( - 20 - 2x) }} \\ \\ { \rm{ \frac{dv}{dx} = 4(100 - 20x + {x}^{2} ) + ( - 80x - 8 {x}^{2} ) }} \\ \\ { \rm{ \frac{dv}{dx} = - 4 {x}^{2} - 160x + 400}}[/tex]

• But at maximum volume, dv/dx is 20 square inches.

[tex]{ \rm{ - 4 {x}^{2} - 160x + 400 =2 0}} \\ \\ { \rm{ {x}^{2} + 40x - 95 = 0}}[/tex]

• Using the quadratic formula:

[tex]{ \underline{ \rm{ \: \: x \approx3\: \: squares \: \: }}}[/tex]

• Therefore,

For maximum volume,

[tex]{ \rm{V(x) = 4x(10 - x) {}^{2} }} \\ \\ { \rm{V(3) = (4 \times 3)(10 - 3) {}^{2} }} \\ \\ { \rm{V(3) = 12 \times 49}} \\ \\ { \boxed{ \rm{V = 588 \: {in}^{3} }}}[/tex]

Answer:

D.

Step-by-step explanation:

End behavior : Left up and right down

Even degree with negative leading coefficient

Answer:

$202.80

Step-by-step explanation:

y=0.08x+1/20

x=2520

y=0.08x+1.20

0.08*2520+1.20

201.6+1.20

$202.8

9.

F. Symmetric Property of =.

The Symmetric Property of Equality states that if A = B, then B will = A, and that placement does not matter.

10.

B. Transitive Property of =.

The Transitive Property of Equality states that if A = B and B = C, then A = C.

In this case, AE = FB, FB = EF (meaning that point B is the midpoint), therefore, AE = EF.

Step-by-step explanation:

B. 8

she will run for 8 miles,

find Amy's speed

convert the minutes into hours by dividing by 60

[tex] \frac{2}{15 \times \frac{1}{60} } \\ = 8 \: miles \: per \: hour[/tex]

find the number of miles ran by multiplying the speed by the time, ie

[tex]8 \times 1 = 8 \\ \: therefore \: the \: answer \: is \: \: 8 \: miles[/tex]

Answer:

pop music of 90

Answer:

1/8

Step-by-step explanation:

3/4=6/8

7-6=1

therefore 1/8

Answer:

7/6

Step-by-step explanation:

7/8 divided by 3/4= 7/8 x 4/3 = 28/24= 7/6

Answer:

x=6,−4

Step-by-step explanation:

1 Switch sides.

(x-6)(x+4)=0  

2 Solve for xx.

x=6,-4

Answer:

2−2−24

Step-by-step explanation:

Answeis  is that

is that the whole qeustion

Step-by-step explanation:

where is the image

Answer:

No,the price is not within their budget.

Step-by-step explanation:

Because if you take 144 times 76 you get 10,944 which goes past their budget of 10,000

Answer:

They are over budget by $1,232.

Step-by-step explanation:

They want to replace 144 computer monitors each for $76.

$76 * 144 = $11,232

Their budget is $10,000 so they would be over budget by:

$11,232 - $10,000 = $1,232

Answer:

16/21

Step-by-step explanation:

1) Find the least common denominator (LCD) of 3/7,1/3. In other words, find the Least Common Multiple (LCM) of 7,3.

LCD=21

2) Make the denominators the same as the LCD

[tex]\frac{3*3}{7*3} +\frac{1*7}{3*7}[/tex]

3) Simplify. Denominators are now the same.

[tex]\frac{9}{21} +\frac{7}{21} \\[/tex]

4) Join the denominators

[tex]\frac{9+7}{21}[/tex]

5) Simplify

[tex]\frac{16}{21}[/tex]

Answer:

[tex]{ \tt{ \frac{3}{7} + \frac{1}{3} }} \\ \\ = { \tt{ \frac{(3 \times 3) + (7 \times 1)}{21} }} \\ \\ = { \tt{ \frac{9 + 7}{21} }} \\ \\ = \: \dashrightarrow \: { \tt{ \frac{16}{21} }}[/tex]

Answer: -4 is your rise and 3 is your run

Step-by-step explanation:

you can get the slope from using y2-y1/x2-x1 or just counting

Answer is

2, 4, 6, 8

Answer: 1 kilometer = 1,000,000 millimeters so multiply that times 5 and you have your answer 5,000,000 millimeters.

Answer:

[tex](-\infty, \infty)[/tex]

Step-by-step explanation:

There are no restrictions on the possible values of [tex]x[/tex], because you can square any number.

Because [tex]x[/tex] can be anything, the domain is all reals or [tex]\boxed{(-\infty, \infty)}[/tex] which means [tex]x[/tex] can be any real number.

Answer:

answer : 164 pounds

Step-by-step explanation:

total weight of five computers

163 x 5 = 815 pounds

the weight of the fifth one = total

weight - other four

815-155-160-165-171=164 pounds

hope it helps :)

[tex]\sf 1) \ \large \boldsymbol {} \displaystyle 2 \frac{33}{40} +4\frac{3}{8} =2+\frac{33}{40}+4+\frac{3}{8}^{/5} =6+\frac{33+15}{40} = \\\\\\ 6\frac{48}{40} =7\frac{8}{40} =\boxed{7\frac{1}{5} } \\\\\\\\ 2) \ 2\frac{3}{8} +1\frac{1}{3} =2+1+\frac{3}{8}^{/3}+\frac{1}{3} ^{/8} =3+\frac{9+8}{24} =\boxed{3\frac{17}{24}} \rm \ cups[/tex]

Answer:

-50 + -50

only negative...sorry.

9514 1404 393

Answer:

  6

Step-by-step explanation:

The power is used to signify repeated multiplication in the same way a multiplier signifies repeated addition.

  14⁶ = 14×14×14×14×14×14

There are 6 factors of 14.

Answer: you do not need a variable when multiplying fractions and mixed numbers

Step-by-step explanation: