Look at the figure. How can you prove the triangles are congruent?

Answer: 4

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so

[tex]\frac{y}{12}=\frac{5}{15}\\\\\frac{y}{12}=\frac{1}{3}\\\\y=4[/tex]

Answer:

8/56

Step-by-step explanation:

Add up all other marble colors then find the difference from the total.

Answer:

1/7

Step-by-step explanation:

there are 8 green marbles out of 56 so the probability would be 8/56 which simpliefies to 1/7 or 14.285714%

Answer:

the second one is the largest

Step-by-step explanation:

Answer:

A. Yes, it show repeated and periodic behavior.

Step-by-step explanation:

I calculated it logically

Answer:

1.)C

2.A

Step-by-step explanation:

Answer:

7.07

Step-by-step explanation:

Answer:

Hello!

answer: volume is 18

answer: surface area is 44

Hope that helps!

Answer:

D. 31

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

A previous study indicated that the population standard deviation is 2.8 days.

This means that [tex]\sigma = 2.8[/tex]

How large a sample must be selected if the company wants to be​ 95% confident that the true mean differs from the sample mean by no more than 1​ day?

This is n for which M = 1. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1 = 1.96\frac{2.8}{\sqrt{n}}[/tex]

[tex]\sqrt{n} = 1.96*2.8[/tex]

[tex](\sqrt{n})^2 = (1.96*2.8)^2[/tex]

[tex]n = 30.12[/tex]

Rounding up, at least 31 people are needed, and the correct answer is given by option D.

Answer:

8 feet

Step-by-step explanation:

Volume = length * width * height

Substitute the values.

288 = 9 * 4 * height

Divide both sides by 36

height = 288/36

height = 8 feet

Answer:

unlikely

Step-by-step explanation:

Answer:

1 to 7

Step-by-step explanation:

The probability of each landing on any of the numbers is 1 to 7

Answer:

A

Step-by-step explanation:

100 liters is 416.7 cups and 416.7 cups is 211.3 pints.

Answer:

8

Step-by-step explanation:

3  1/4

+4  3/4

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

7   4/4

But we know 4/4 = 1

7 +1

8

Answer:

8

Step-by-step explanation:

3 and 1/4 + 4 and 3/4 =

3+4+1/4 +3/4

= 3+4+4/4  because 4 fourths is one whole

=3+4+1 = 8

Answer:

y=11/5x+1

Step-by-step explanation:

I am probably wrong :/

Answer:

y= -2/5x+1

Step-by-step explanation:

The slope of the line is -2/5 and the y intercept is 1.

Answer:

1.07328

Step-by-step explanation:

223.6 x 0.0048=1.07328

Answer:

288

Step-by-step explanation:

First, find how much of the desk each person can finish in 1 hour. Paul can finish 1/12 because he finishes the whole thing in 12 hours and Shawn can finish 1/8 because he finishes the whole thing in 8 hours.

Then find a common denominator and add those together to find how much they could do together in 1 hour.

2/24 + 3/24 = 5/24 So they can finish 5/24 of the desk in 1 hour if they work together.

So to finish 24/24 of the desk, they'll need to do 4 hours (20/24 of the desk) and 48 minutes (4/24 of the desk)

It asked for the number of minutes, so multiply 4 by 60 and add 48 to find the total number of minutes. 4*60 = 240 and 240 + 48 = 288

So it will take them 288 minutes to build the desk together.

9514 1404 393

Answer:

  b.  10.2 yards

Step-by-step explanation:

The quadratic formula tells you the solutions to ...

  ax² +bx +c = 0

are given by ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Here, the quadratic equation we have is ...

  h² +5h -155 = 0

So the solutions given by the quadratic formula are ...

  [tex]h=\dfrac{-5\pm\sqrt{5^2-4(1)(-155)}}{2(1)}=\dfrac{-5\pm\sqrt{645}}{2}=\{-15.2,10.2\}[/tex]

The negative solution is not applicable in this situation, so the height that gives the desired area is 10.2 yards.

Answer:

112

Step-by-step explanation:\

Formula for Area- A(AREA)=L(LENGTH) times W(WIDTH)

If we follow this and plug in the Numbers we get the equasion- A=7x16

And so we solve and get the answer 112

hope this helped have a great day :3 (brainliest pls i need one more )

Answer:

120.6  is the answer

Step-by-step explanation:

Answer:

only one of the side is a 4 so the answer is 6/6 -1/6=5/6

Answer: B

Step-by-step explanation: if you look from both sides u can see it adds up + i got it right on edg:)

The statement describes the behavior of the function around the vertical asymptotes is B.

We have given the graph,

We have to determine which statement describes the behavior of the function around the vertical asymptotes.

A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.

If you look from both sides of the graphs you can see it adds upward.

To learn more about the vertical asymptote visit:

https://brainly.com/question/4138300

#SPJ2

Answer:

13 miles

Step-by-step explanation:

                                                 12 miles

                Home --------------------------------------------------------Library

                     |

5 miles          |

                     |

                     |

                     |

                School

We can draw an imaginary line betwen school and library. by using the pythagoras theorem, because it is a right triangle. the distance between school and library is 13.

Answer:

A. 175,760,000

B. 156,000,000

Step-by-step explanation:

For part A:

There are 26 letters in the alphabet.  Therefore, if there are 3 spots to use 26 letters, that is represented as [tex]26^3[/tex].  As for numbers, there are 10 digits from 0-9.  So if there are 4 spots for numbers, the total possible number of sequences is [tex]10^4[/tex].  So you simply multiply [tex]26^3[/tex] and [tex]10^4[/tex] to get 175,760,000 possible combinations.

For part B:

If the same letter can't be repeated, instead of using an exponent, we have to use a factorial, but only for the 3 digits required in the license plate.  These are called permutations and can be expressed as [tex]_2_6P_3[/tex], which is the same as saying 26 x 25 x 24.  Since there is no change to number of numbers, that remains the same.

[tex]_2_6P_3 * 10^4 =26*25*24*10^4=156,000,000[/tex]

Answer:

2/12 if the spinner has 6 chooses. I think sorry if I'm wrong

Step-by-step explanation:

Answer:

B. neither of them are solutions

Answer:

3rd

Step-by-step explanation:

MARK AS BRAINLEST!!

9514 1404 393

Answer:

  177°, 3°

Step-by-step explanation:

If the smaller angle is s, then the sum of the two angles is ...

  s + 59s = 180°

  s = 180°/60 = 3° . . . . . divide by the coefficient of s

  59s = 177° . . . . . . . . . find the larger angle

The two angles are 177° and 3°.

Answer:

b

Step-by-step explanation:

Answer:

B   all numbers less than 7

Step-by-step explanation:

x < 7

B all numbers less than 7

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

< is less than

≤ is less than or equal

> is greater than

≥ is greater than or equal

Answer:

b XD

Step-by-step explanation: