Use the proof above to answer the question: What reason can be used to prove that the triangles are congruent?
A. AAS B. ASA C. AAA D. SAS E. SSS

[tex]14^{-x+10}~~ = ~~13^{3x} \\\\[-0.35em] ~\dotfill\\\\ \log(14^{10-x})=\log(13^{3x})\implies (10-x)\log(14)=x\log(13^3) \\\\\\ 10-x=\cfrac{x\log(13^3)}{\log(14)}\implies \cfrac{10-x}{x}=\cfrac{\log(13^3)}{\log(14)}\implies \cfrac{10}{x}-\cfrac{x}{x}=\cfrac{\log(13^3)}{\log(14)}[/tex]

[tex]\cfrac{10}{x}-1=\cfrac{\log(13^3)}{\log(14)}\implies \cfrac{10}{x}=\cfrac{\log(13^3)}{\log(14)}+1\implies \cfrac{10}{~~\frac{\log(13^3)}{\log(14)}+1~~}=x \\\\\\ \cfrac{10}{~~\frac{\log(13^3)+\log(14)}{\log(14)}~~}=x\implies \cfrac{10\log(14)}{\log(13^3)+\log(14)}=x[/tex]

Answer:

1/8 of the class voted for the nature park

Step-by-step explanation:

there is only 1/4 votes left because 3/4 voted for the museum. 1/8 is half of 1/4. So the answer must be another 1/8 to equal 4/4 or 1.

Please mark as brainliest

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To find out what values each bar in the graph represents, we use the lines and the y axis. Follow the line, and your value will be determined.

Hope this helps. If you have any further questions, let me know!

- profparis

if i helped you, i would appreciate a brainliest :D

Answer: 782

Step-by-step explanation

It says it made a w

Answer:

Part A: Andy is incorrect

Part B: 3/20

Step-by-step explanation:

Part A: Since Andy:

Actions dvds = 3/5

Comedy dvds = 1/4

or = Add

3/5 + 1/4

12 + 5 /20 = 17/20

Thus, it doesn't equal to 4/9.

Part B: He needed to make 3/5 = 12/20 and 1/4 = 5/20.  Adding these together would be 17/20, making 3/20 of them NOT action or comedy.  17/20 + 3/20 = 20/20 or the total.

Therefore, 3/20 of them Not action or comedy.

~lenvy~

Answer:

1 hour=55 miles

Step-by-step explanation:

Answer:

55 mph

Step-by-step explanation:

605 miles/11 hours

605/11 mph

55 mph

Hope this helps!

Answer:

Step-by-step explanation:

The pressure of a gas tank is 234. 24 atm at 295K. What is the gas pressure if the temperature

The pressure of a gas tank is 234. 24 atm at 295K. What is the gas pressure if the temperature is raised to 333K. P1/T1=P2/T2

Answer:

It will take them 5 hours to make 180 cupcakes

Step-by-step explanation:

17 + 19 = 36 x 5 = 180

Answer:

5 hours

Step-by-step explanation:

so since it al together you add 17+19 which equals 36. after that you divide 180 by 36 which equals 5. to recheck this I multipled 17 by 5 and 19 by 5. equaling 85 plus 95 equals 180 meaning it is 5

Answer: (2,2)

Step-by-step explanation:

Answer:

100,00

Step-by-step explanation:

In order to find this, you would divide 450,000,000 by 4500. You would then get the final answer of 100,000. Hope this helps!

Answer:

You first take the annual interest rate on your loan and divide it by 365 to determine the amount of interest that accrues on a daily basis. Say you owe $10,000 on a loan with 5% annual interest. You'd divide that rate by 365 (0.05 ÷ 365) to arrive at a daily interest rate of 0.000137.

Answer:

I think C and D options can be correct

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

I think C and D options can be correct

Step-by-step explanation:

Answer: -[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

      To solve this question, I am going to first put the equation into slope-intercept form.

      2x + 12y = -192

      12y = -2x - 192

      y = -[tex]\frac{2}{12}[/tex] - 16

      y = -[tex]\frac{1}{6}[/tex] - 16

      Now that the first equation has an easily identifiable slope, we can answer the question. Parallel lines will have the same slope, so that means the answer will be:

             -[tex]\frac{1}{6}[/tex]

Answer: 1/-6

Step-by-step explanation:

i had this equation

Answer:

11 : 18

Step-by-step explanation:

to figure out number of female members (not neccessary to solve this problem)

18 members = male + female members

18 members = 11 members + female members

-11                      -11

---------------------------------------------------------------------

7 members = female members

ratio of males to all club members

11 : 18

Answer:

[tex](2c+a+3b)(2c-a-3b)[/tex]

Step-by-step explanation:

Given expression:  [tex]4c^2-a^2-6ab-9b^2[/tex]

Factor [tex]-a^2-6ab-9b^2[/tex]

[tex]\implies -(a^2+6ab+9b^2)[/tex]

[tex]\implies -(a+3b)(a+3b)[/tex]

[tex]\implies -(a+3b)^2[/tex]

Factor [tex]4c^2[/tex]

[tex]\implies(2c)(2c)[/tex]

[tex]\implies (2c)^2[/tex]

Therefore,

[tex](2c)^2-(a+3b)^2[/tex]

Difference of Two Squares: [tex]x^2-y^2=(x+y)(x-y)[/tex]

[tex]x^2=(2c)^2\implies x=2c[/tex]

[tex]y^2=(a+3b)^2 \implies y=a+3b[/tex]

Therefore,

[tex]\implies (2c + a + 3b)(2c - (a + 3b))[/tex]

[tex]\implies (2c+a+3b)(2c-a-3b)[/tex]

Answer:

(2c - a + 3b)(2c + a + 3b)

Step-by-step explanation:

4c² - a² - 6ab - 9b²

= 4c² - (a² + 6ab + 9b²) ← the terms in the parenthesiis are a perfect square )

= 4c² - (a + 3b)² ← this is a difference of squares which factors in general as

a² - b² = (a - b)(a + b) , then

= (2c)² - (a + 3b)²

= (2c - (a + 3b) )(2c + (a + 3b) )

= (2c - a - 3b)(2c + a + 3b)

Answer:

18/1

Step-by-step explanation:

Answer:

1/2. I think if I'm wrong I'm sorry

Answer:

Ray is  x years old.

Ron is x+y  years old.

In 2 years, Ron will be two years older than now, so  x+y+2 years old.

Step-by-step explanation:

Enjoy!

Answer:

Ray is x  years old.

Ron is x + y years old.

In 2 years, Ron will be two years older than now, so 

x + y + 2 years old.

Since their ages are variables, you should only have 1 clear digit which is 2. Due to the information given

Step-by-step explanation:

For the question question, since they are giving you the function you just need to find the input that matches the expected output (y) which will be the number of miles biked. So what numbers multiplied by 12 give you 12, 36, and 48?

You could substitute y into an algebraic function to find these values.

We'll use 36 miles as an example.

If 12x = y then

12x = 36

divide both sides by 12

x = 3

For the second question you are given the x value (number of guests) and just need to calculate y (cupcakes each guest is allowed) by dividing 30 by  the number of guests (x).

Answer:

Step-by-step explanation:

To find the value of x, isolate it on one side of the equation.

First, add by -6 from both sides.

→ -6+x+-6=-4+6

Solve.

→ -4+6=2

x=2

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

Step-by-step explanation:

Answer:

C. 93 cars

Step-by-step explanation:

57 cars + 36 cars = 93 cars

Answer:

Process

Step-by-step explanation:

I won't give the answers but i will explain the process... You can combine variables if they are similar. Example if you have 3g+2-2g-5 you can combine the numbers with g - you would have a positive 3g and a nagative 2g, 3-2 is 1g or g.. Then you can combine the positive 2 and negative 5. I hope this helps!

Answer:

False

Step-by-step explanation:

basically it's asking you whether or not you can live on earth. you can't live at the other planets because they're either too far or too close to the sun.

Answer:

black and white should do right?

There are 20 ways to choose 2 colors without replacement, considering the order of choices as relevant, from the 5 colors: red, blue, green, purple, and yellow.

If the order of choices is relevant, it means we are dealing with permutations.

To calculate the number of ways to choose 2 colors from 5 colors without replacement and with order being relevant, we use the concept of permutations.

The number of permutations of choosing r items from n distinct items is given by the formula:

P(n, r) = n! / (n - r)!

where "n!" denotes the factorial of n, which is the product of all positive integers from 1 to n.

We want to choose 2 colors from 5 colors, so n = 5 (total colors) and r = 2 (colors to be chosen).

P(5, 2) = 5! / (5 - 2)!

= 5! / 3!

= (5 × 4 × 3 × 2 × 1) / (3 × 2 × 1)

= 120 / 6

= 20

Therefore, there are 20 different ways to choose 2 colors from the 5 colors (red, blue, green, purple, and yellow) without replacement and with the order being relevant.

To learn more on Permutations click here:

https://brainly.com/question/3867157

#SPJ3

Complete question:

suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow.

How many ways this can be done, if the order of choices is relevent

Answer:

B. y = -|x - 2| + 5

Step-by-step explanation:

Here the parent function is |x|. It is flipped and translated upward by 5 units and shifted to the right by 2 units.

y = - |x - 2| + 5

hope this helps!! p.s. i really need brainliest :)

Answer:

326.56 sq. units

Step-by-step explanation:

Calculating the slant height

Formula

Subbing in the values

Answer:

x is equal to 30

<ABC is equal to 100°

<DBC is equal to 80°

Step-by-step explanation:

3x +10 +2x +20 =180

5x = 180 - 10- 20

5x = 150, divide both sides by 5

x is equal to 30

<ABC = 3x + 10 = 3 × 30 + 10 = 100°

<DBC = 180 - <ABC = 180 - 100 = 80°

Ray is [tex]x[/tex] years old.

Ron is [tex]y[/tex] years old.

In 2 years, Ron will be two years older than now, so [tex]x+y+2[/tex] years old.

Answer:

Step-by-step explanation:

Isolate the term of n from one side of the equation.

First, add by 1/8 from both sides.

n-1/8+1/8=3/8+1/8

Solve.

Add the numbers from left to right.

3/8+1/8=4/8

Common factor of 4.

4/4=1

8/4=2

Rewrite as a fraction.

=1/2

n=1/2

Divide is another option.

1/2=0.5

n=1/2=0.5

I hope this helps you! Let me know if my answer is wrong or not.