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andreev551 [17]
3 years ago
11

Find mEC. 5x - 27) (2x - 5) D

Mathematics
1 answer:
UNO [17]3 years ago
4 0

Answer:

Arc EC = 58°

Step-by-step explanation:

First, find the value of x.

m<D = ½(arc EC) => Inscribed Angles Theorem

Substitute

2x - 5 = ½(5x - 27)

Multiply both sides by 2

2(2x - 5) = 5x - 27

4x - 10 = 5x - 27

Collect like terms

4x - 5x = 10 - 27

-x = -17

Divide both sides by -1

x = 17

Find arc EC:

Arc EC = 5x - 27

Plug in the value of x

Arc EC = 5(17) - 27 = 85 - 27

Arc EC = 58°

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Answer:

Ella has the greatest return in the current year.

Step-by-step explanation:

Debby would receive $0.80 for each of her 2000 common stock in the oil company,hence Debby's return on investment in the current year is $1600($0.80*2000)

Besides,Ella's return on the stock investment in the current year is computed thus:

Ella's return= 5%*1000*$50=$2,500

In addition,Unique's dollar return on the investment is computed as follows:

Unique's return on  investment=4%*2000*$20=$1,600

From the above computations,Ella seems to have the highest return in the current year of $2,500 whereas the two others managed to have $1600 return each

5 0
3 years ago
The ratio of apples to bananas in a bowl of fruit is 2:5 if there are 49 total pieces of fruit in the bowl how many are apples
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7 0
3 years ago
victor is ordering pizzas for a party he would like to have 1/4 of a pizza for each guest he can only order whole pizzas not par
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3 years ago
1. Find the distance between two
BigorU [14]

Answer:

\mathrm{D)\:}9.4\: \mathrm{units}

Step-by-step explanation:

<u>Solution 1:</u>

Notice the x coordinate of both points are equal, meaning both points are on a vertical line. The distance between two points on a vertical line is the absolute difference of their y-coordinates. The absolute difference between 4.7 and -4.7 is |4.7-4.7|=\fbox{$9.4$}.

<u>Solution 2:</u>

The distance between two points (x_1,y_1) and (x_2,y_2) is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Plugging in given values, we have:

d=\sqrt{(-2.6-(-2.6))^2+(4.7-(-4.7))^2},\\d=\fbox{$9.4$}.

8 0
3 years ago
Find n for the sequence for which an = 37, a1 = -13 and d = 5.
Papessa [141]
The equation for a sequence is
an=a1+(n-1)d
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Reverse operations
55=5n
Simplify
n=11
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3 years ago
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