What is the measurement, in degrees, of angle 1?

Which card on the bottom is the statement and which 3 cards are the reasons?

kenny6666 [7]

Answer: ↓↓↓

Step-by-step explanation:

1. EF || HG, HE || FG

2. Reflexive Property

3. Alternate Interior Angles

4. SAS

8 0

2 years ago

A city's population is 12,000 and grows at 2.6% rate. What will the population be after 25 years? A city's population is 230,000

Levart [38]

Answer:

The 12000 City would become 22,986 people, while the 230,000 city would become a population of 124,223.

Step-by-step explanation:

1st Part:

=12000⋅(0.026000000000000002⋅25)

=12000(2.718281828459045)(0.65)

=22986

2nd Part:

=230000⋅(−0.044000000000000004⋅14)

=230000(2.718281828459045)(−0.616)

=124223

3 0

2 years ago

Read 2 more answers

The Muffin Man’s shop on Drury Lane charges 8% sales tax. Prince Charming’s purchases at the shop rang up at $34, and the tax wa

Gemiola [76]

Answer:

he multiplied by 0.8 not .08

Step-by-step explanation:

when doing 8% you go back 2 places so 0.08

34×0.08= 2.72

34+2.72= 36.72

7 0

2 years ago

Read 2 more answers

Charlotte recorded the number of minutes she spent exercising in the past ten days: 9, 13, 5, 2, 9, 1, 14, 3, 5, 7. Find the med

Nuetrik [128]

Answer:

The median is 7.

Step-by-step explanation:

In order to find the median, you need to ut the numbers in either least to greatest form, or greatest to least (FIRST).

I'm gonna do both as an example.

Greatest to least:

14, 13, 9, 9, 7, 5, 3, 2, 1

Least to greatest:

1, 2, 3, 5, 7, 9, 9, 13, 14

It is REALLY important that you use ALL of the numbers you are given, even if there are two or more of the same number.

The next thing you need to do is find the number that is in the middle.

It will be the same for both least to greatest AND greatest to least.

You can either count one from either side, going in a pattern, OR you can count how many there is, divide it by 2, and whatever answer you get, count that many times over from one side.

In this case, your answer goes like this:

since there are 9 numbers, and 9 is not an even number, you will have only one median. Having 2 medians IS normal and it IS ok.

In this case, you want to go down one number (from 9) and divide that. So you do 8 divided by 2, which is 4. Count that many times over and you have your answer, 7.

I hope this helped you!

Have a great dayyyy

5 0

3 years ago

James folds a piece of paper in half several times,each time unfolding the paper to count how many equal parts he sees. After fo

Snezhnost [94]

Answer:

There will be total 2048 parts of the given paper if James if able to fold the paper eleven times.

The needed function is $y = 2 ^n$

Step-by-step explanation:

Let us assume the piece of paper James decides to fold is a SQUARE.

Now, let us assume:

n : the number of times the paper is folded.

y : The number of parts obtained after folds.

Now, if the paper if folded ONCE ⇒ n = 1

Also, when the pap er is folded once, the parts obtained are TWO equal parts.

⇒ for n = 1 , y = 2 ..... (1)

Similarly, if the paper if folded TWICE ⇒ n = 2

Also, when the paper is folded twice, the parts obtained are FOUR equal parts.

⇒ for n = 2 , y = 4 ..... (2)

⇒ $y = 2^2 = 2^n$

Continuing the same way, if the paper is folded SEVEN times ⇒ n = 7

So, $y = 2^ n = 2^7 = 128$

⇒ There are total 128 equal parts.

Lastly, if the paper is folded ELEVEN times ⇒ n = 11

So, $y = 2^ n = 2^{11} = 2048$

⇒ There are total 2048 equal parts.

Hence, there will be total 2048 parts of the given paper if James if able to fold the paper eleven times.

And the needed function is $y = 2 ^n$

8 0

3 years ago