Which theorem is not a valid theorem to show that two triangles are congruent? Which theorem is not a valid theorem to show that two triangles are congruent?

Answer:

I'll set up the problem and you can do the calculation

Step-by-step explanation:

we need to complete the squares to get the equation in the general form:

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

where h = the x coordinate of the center

k = the y coordinate of the center

r = the radius

so looking at

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

we can see that if use -1 as the constant we have

[tex] {(x - 1)}^{2} = {x}^{2} - 2x + 1[/tex]

doing the same for y

[tex] {y}^{2} - 4y[/tex]

we can use -2 as the constant (basically you that the s

quare of the y coefficient )

[tex] {(y - 2)}^{2} = {y}^{2} - 4y + 4[/tex]

so now we have to add or subtract the constant on the RHS to see what the square of the radius is according to the general form of the equation at the top

20 +1+4=25

Take the square root and you have the radius

Answer:

AO

Step-by-step explanation:

The expression to represent the volume of the cube in exponential form is 15^3

The length is given as:

Length = 15 feet

The volume of the cube is calculated as:

Volume = Length^3

So, we have:

Volume = 15^3

Hence, the expression to represent the volume of the cube in exponential form is 15^3

Read more about expressions at:

https://brainly.com/question/723406

#SPJ1

Answer:

Rs. 20246

Step-by-step explanation:

According To the Question,

Thus, the third payment, he has to make to clear the entire loan.

First-Payment = ( 50000 x 1.06 ) - 18000  ⇔  35000 Rs.

Second-Payment = (35000 x 1.06) - 18000  ⇔ 19100 Rs.

Third-Payment = (19100 x 1.06 ) ⇔ 20246 Rs. the third payment, he has to make to clear the entire loan.

Answer:

I think its c

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.5 (x+4)-3=4.5(x-2)=

1.5x+6-3=4.5x-9=

1.5x+3=4.5x-9=

1.5x-4.5x=-3-9=

-3x=-12

x=4

Answer:

x=4

Step-by-step explanation:

1.5(x+4)-3=4.5(x-2)

-Use distributiive prop. to simplify

1.5x+6-3=4.5x-9

-Simplify 6-3

1.5x+3=4.5x-9

-Subtract 1.5x from both sides

3=3x-9

-Isolate the x's by subtracting 9 from both sides

12=3x

-divide by 3

4=x

:) ur welcome

[tex]\cfrac{\frac{a}{b}}{\frac{c}{ d}}\implies \cfrac{a}{b}\cdot \cfrac{ d}{c} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{~~\frac{3x^2-3}{x^2+3x}~~}{\frac{x+1}{x(x+3)}}\implies \cfrac{3x^2-3}{x^2+3x}\cdot \cfrac{x(x+3)}{x+1}\implies \stackrel{\textit{common factoring}}{\cfrac{3(x^2-1)}{~~\begin{matrix}x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{x+1}[/tex]

[tex]\textit{keeping in mind that}\qquad x^2-1\implies x^2-1^2\implies (x-1)(x+1) \\\\\\ \cfrac{\stackrel{~~\textit{difference of squares}}{3(x^2-1^2)~\hfill }}{x+1}\implies \cfrac{3(x-1)~~\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies 3(x-1)[/tex]

Answer and Step-by-step explanation:

All triangles have a sum of their angles to be 180 degrees. So, to find x, we need to subtract the two given sides from 180 degrees.

180 - 38 - 83 = 59

x = 59 degrees.

#teamtrees #PAW (Plant And Water)

Answer:

no thanks i dont feel like doing all that work to help u. i apologize my dear friend bahahahahahahahahahahhahaha

Step-by-step explanation:

Answer:

ans: (-3/2, -5/2), (-1/2, -5/4)

Step-by-step explanation:

here;

y =| x - 1| can be any of form I.e

y = x - 1 say equation••••1

OR

y = -( x - 1) say equation •••2

our next equation is,

y = 3x + 2 say equation ••••3

substituting 'y' from equation 1 and 2 to 3

we got

x - 1 = 3x + 2 -( x - 1) = 3x +2

- 3 = 2x -1 = 4x

hence

x= -3/2 and -1/4

substituting x in equation 3 we got

y = -5/2 and -5/4

OR ,

can be solve by iterative method which is quite long

Answer:

(-0.2,1.2)substitute 3x+2 for y and set them equal to eachother then plug in x for y

Step-by-step explanation:

Answer:

x+8

Step-by-step explanation:

Simplify the numerator

list the factors of 16

16: 1, 2, 4, 8, 16

look for two factors that add up to the b value

in this case it is 18

by looking at the factors 2 and 8 add up 10

so you can rewrite the numerator as [tex]x^{2}+2x+8x+16[/tex]

Split the trinomial into two separate binomials each having one of the factors that add up to 10

So it should be [tex]x^{2} +2x and 8x+16[/tex]

Factor both binomials

you can factor an x from the first one

Then it is x(x+2)

Factor an 8 from the second one

8(x+2)

So it should be [tex]x(x+2) 8(x+2)[/tex]

This can rewritten as (x+8)(x+2)

So now you have [tex]\frac{(x+2)(x+8)}{x+2)}[/tex]

simplify it by canceling out the two (x+2)'s

this is because (x+2)/(x+2) is 1

Finally you get x+8

Answer:

Giá một cuốn sách là $ 1000

Step-by-step explanation:

Được

Tổng chi phí sách = 60000

Tổng số bạn bè = 10

Sách do mỗi người bạn mua = 2

Như vậy, tổng số sách mua của cả 10 bạn = 10 * 2 = 20

Giá của một cuốn sách = Tổng giá / tổng số sách đã mua

Giá một cuốn sách = 20000/20 = 1000

Giá một cuốn sách là $ 1000

Answer:

q = 55

Step-by-step explanation:

      [tex]p\ \alpha\ \frac{1}q} \\\\p = k \times \frac{1}{q}\\\\22 = k \times \frac{1}{5}\\\\22 \times 5 = k\\\\k = 110\\\\[/tex]

Find q when p = 2

   [tex]p = k \times \frac{1}{q}\\\\2 = 110 \times \frac{1}{q}\\\\2 \times q = 110\\\\q = \frac{110}{2}\\\\q = 55[/tex]

Let the time = X

Distance = Rate times time

Level roads = 18x

Hills = 10x

Total is 98 miles

18x+10x = 98

Add:

28x = 98

Divide both sides by 28:

x = 3.5

She spent 3.5 hours on each part

Total time = 3.5 + 3.5 = 7 hours

Answer:

0

9

-2

-23

Step-by-step explanation:

a function f(x) defines a y-value for any valid x-value.

that's why it is often written as y = f(x).

the inverse function of an original function just turns the question upside down.

now we want to see for a given y-value of the original function, what was the original x-value to get this y.

therefore we try to transform the original equation that calculates y out of x into one that calculates x out of y.

so, in our example

f(x) = y = -4x - 3

4x + y = -3

4x = -y - 3

x = (-y - 3) / 4

in order to keep the usual terminology with functions also for inverse functions, which are in the end nothing else than functions again, we then name the input variable "x" again, and the result "y".

so, the inverse function is therefore as a function of x

y = (-x - 3) / 4

for x = -3, y = (--3 - 3) / 4 = (3-3) / 4 = 0

when we have y for the inverse function looking for its corresponding x value, then we are investing the inverse function and come back to the original function.

so, for y=-3 of the inverse function that means x=-3 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.

f(-3) = -4×-3 - 3 = 12 - 3 = 9 = x of the inverse function.

for x=5 of the inverse function, y = (-5-3)/4 = -8/4 = -2

for y=5 of the inverse function that means x=5 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.

f(5) = -4×5 - 3 = -20 - 3 = -23 = x of the inverse function.

-pi/4 is the same thing as 7pi/4.

The sine function will get us the y-value we need.

Keep in mind that our y-value will be negative (based on the position of the line), and pi/4 and 3pi/4 will both have positive y-values.

Therefore, the correct expression is sin(7pi/4).

Hope this helps!! :)

Answer:

24/65

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

edge 2023

Answer:

24

Step-by-step explanation:

4 times 4

8 times 8

Subtract the 2 #'s

Then divide your answer by 2.

Step-by-step explanation:

use Pythagoras theorem

hypotenuse² = base² + height²

8²=base²+4²

64-16=B²

√48=B

√2×3×2×2×2=B

2×2√3

4√3 = B

hope it helps

Answer:

1123.5714 kg C

Step-by-step explanation:

Given :

Miles traveled = 1.3 * 10^4 miles

Miles per gallon = 28 miles per Gallon

Carbon footprint per gallon = 2.42 kg C per gallon

The total gallons of gasoline used over the course of the year :

Total miles traveled / miles per gallon

1.3 * 10^4 / 28 = 464.28571 gallons

Carbon footprint per gallon = 2.42 kg C

Total carbon footprint of transportation :

2.42 kg C per gallon * 464.28571 gallons

= 1123.5714 kg C

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

[tex]p = \frac{4}{6} = 0.6667[/tex]

10 normal six sided dice are thrown.

This means that [tex]n = 10[/tex]

Find the probability of obtaining at least 8 failures.

This is:

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951[/tex]

[tex]P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867[/tex]

[tex]P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174[/tex]

Then

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992[/tex]

0.2992 = 29.92% probability of obtaining at least 8 failures.

Answer:

C. Corresponding angles

Step-by-step explanation:

Visualize the two points of intersection and the four angles around each of them being separated. If you put the on top of each other, you can see that angle 4 corresponds with angle 8.

Answer: corresponding :)

Step-by-step explanation:

corresponding angles are angles that are in the same position relative to lines intersected by a transversal

basically theyre equal and on the same side of the transversal

hope this helps :)

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {(2).\: \: \frac{ - 27}{3}\:and\: (5).\: - 9 }}}}}}[/tex]

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

[tex] \frac{27}{ - 3} [/tex]

2. [tex] \: \frac{ - 27}{3} [/tex] ✔

5. [tex] - 9[/tex] ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Mystique35♨}}}}}∘[/tex]

Answer:

the perfect cube is [A] 1

--Answer--

negative integer

--Explanation--

28 - 45 = -17; the number subtracting is greater than the original number.

Answer:

[tex]W=2.58 unit[/tex]

[tex]L=15.5 unit[/tex]

Step-by-step explanation:

From the question we are told that:

Area [tex]A=40[/tex]

Equation

Length [tex]L=6LW[/tex]

Generally the equation for Area of a rectangle is mathematically given by

 [tex]A=L*W[/tex]

 [tex]A=W*(6W)[/tex]

 [tex]A=6W^2[/tex]

 [tex]W=\sqrt{40/6}[/tex]

 [tex]W=2.58 unit[/tex]

Therefore Length is

 [tex]L=6W[/tex]

 [tex]L=6(2.58)[/tex]

 [tex]L=15.5 unit[/tex]

Length = 10

Width = 4

The dimensions of the rectangle would be 10 by 4.

Step-by-step explanation:

here is the answer for your question

Answer:

-7

Step-by-step explanation:

-12x = 84

/-12     /-12

   x = -7

Answer:

The other integer is - 7.

Step-by-step explanation:

Let the 2 integers be x and y

Given:

  one of the integer is -12, Let x = - 12

  Product of two integers is 84,

that is,

       x × y = 84

     - 12 × y = 84                        [ given one of the integer is -12 ]

       [tex]\frac{-12 \times y }{-12} = \frac{84 }{-12}[/tex]                      [ divide both sides by -12 ]

        [tex]y = - 7[/tex]

Answer:

9 dots

Step-by-step explanation:

each step adds 2 dots every time