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HACTEHA [7]
2 years ago
11

In a regular pentagon ABCDE prove that AC = BE.​

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
4 0
All angles add up to the same degree
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Find an explicit formula for the arithmetic sequence 12, 5, -2, -9,...12,5,−2,−9,...12, comma, 5, comma, minus, 2, comma, minus,
Andrew [12]

Answer:

A(n) = 19 - 7n

Step-by-step explanation:

12, 5, -2, -9,...

First term, a = 12

Common difference, d = a2 - a1

a2 = 5

a1 = 12

Common difference, d = a2 - a1

= 5 - 12

= -7

d = -7

A(n) = a + (n - 1)d

A(n) = 12 + (n - 1) -7

= 12 + (-7n + 7)

= 12 - 7n + 7

= 12 + 7 - 7n

= 19 - 7n

A(n) = 19 - 7n

5 0
2 years ago
Read 2 more answers
A frequency distribution is a tabular summary of data showing the a. number of items in several classes. b. relative percentage
Viefleur [7K]

Answer:

The answer is a: Number of items in several classes.

Step-by-step explanation:

Frequency distributions are tables that represent the number of times a specific data, number object etc appears in a sample. So for example if we have this data

2,2,4,4,6,6,6,8,8,10

The frequency distributions is

Number   frequency

2                  2

4                  2

6                  3

8                   2

10                  1

The other options are identical (c and are the same as percentages can be expressed as fractions. Relative percentages or fractions are  tables that express the weight that each category has in the entire data. An example for our data would be: (10 are the total number of obs)

Number             Fraction/%

2                          2/10 or 20%

4                         2/10 or 20%

6                          3/10 or 30%

8                           2/10 or 20%

10                            1/10 or 10%

6 0
2 years ago
A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?
katen-ka-za [31]

Answer:

\displaystyle y = \frac{1}{3}x

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{3 - 4}{9 - 12} = \frac{1}{3}

Then plug these coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope</em><em> </em><em>Formula</em><em> </em>since you get it done much swiftly that way. It does not matter which ordered pair you choose:

−4 = ⅓[−12] + b

−4

\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x

_______________________________________________

−3 = ⅓[−9] + b

−3

\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x

**You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

8 0
2 years ago
Read 2 more answers
Harmony earns a \$42{,}000$42,000dollar sign, 42, comma, 000 salary in the first year of her career. Each year, she gets a 4\%4%
saveliy_v [14]

Answer:

FV(n)=42,000(1.04)^n

Step-by-step explanation:

FV=PV(1+r/n)^nt

Where

FV=future value

PV=present value

r=interest rate

n=number of periods

t=time (years)

PV=42,000

r=4%=0.04

n=1

t=n

FV(n)=p(1+r/n)^nt

=42,000(1+0.04/1)^1*n

=420000(1+0.04)^n

=42,000(1.04)^n

FV(n)=42,000(1.04)^n

7 0
2 years ago
Zane and Matt are both keen runners. Zane takes 4 minutes to jog around a running track and Matt takes 5 minutes. They start at
Sergio [31]
I believe that the correct answer to this question is B. because matt took more than 5 minutes .
3 0
2 years ago
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