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3 years ago

If Given:

Mathematics

1 answer:

sasho [114]3 years ago

6 0

C i think that would be the answer

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In the picture lines AB and CD are parallel. Find the measures of the following angles. Explain your reasoning.

hichkok12 [17]

Answer/Step-by-step explanation:

1. <ABC and <BCD are alternate interior angles. Alternate interior angles are equal, therefore, since m<ABC = 38°, then m<BCD = 38°

2. m<ECF = m<BCD (corresponding angles)

m<ECF = 38° (substitution)

3. m<DCF + m<ECF = 180° (linear pair)

m<DCF + 38° = 180° (substitution)

m<DCF = 180° - 38° (Subtraction property of equality)

m<DCF = 142°

5 0

2 years ago

3 parts of a yellow paint are mixed with 4 parts of red paint to make orange paint. Zahid has 75ml of yellow paint and 120lml of

Murrr4er [49]

I believe the max would be 195ml. Hope this helps :)

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3 years ago

From previous polls, it is believed that 66% of likely voters prefer the incumbent. A new poll of 500 likely voters will be cond

Vladimir79 [104]

Answer:

The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.

Step-by-step explanation:

We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.

A new poll of 500 likely voters will be conducted. In the new poll the proportion favoring the incumbent has not changed.

Let p = probability of voters preferring the incumbent = 66%

n = number of voters polled = 500

<u>So, the mean of the number preferring the incumbent is given by;</u>

Mean = $n \times p$ = $500 \times 0.66$

= 330 voters

<u>And, standard deviation of the number preferring the incumbent is given by;</u>

Variance = $n \times p\times (1-p)$

= $500 \times 0.66 \times (1-0.66)$

= 112.2

So, Standard deviation = $\sqrt{Variance}$

= $\sqrt{112.2}$ = 10.59

7 0

3 years ago

Input the equation of the given line in slope-intercept form. The line with m = 2 and b = -4.

lukranit [14]

Answer:

y = 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

here m = 2 and b = - 4

y = 2x - 4 ← equation of line

4 0

3 years ago

Jane opened a savings account with 700 and was paid simple interest at an annual rate of 2% . When Jane closed the account, she

Triss [41]

Answer:

5 years

Step-by-step explanation:

N/A

3 0

3 years ago