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MrRissso [65]
3 years ago
6

In the accompanying diagram, ABCD is a

Mathematics
1 answer:
Romashka [77]3 years ago
7 0

Given:

m∠DAE = 30°

m∠CBE = 20°

To find:

The value of x.

Solution:

In rectangle, all angles are right angle.

m∠A = m∠B = m∠C = m∠D = 90°

m∠EDA + m∠EAB = 90°

30° + m∠EAB = 90°

m∠EAB = 90° - 30°

m∠EAB = 60°

Similarly, m∠CBE + m∠EBA = 90°

20° + m∠EBA = 90°

m∠EBA = 90° - 20°

m∠EBA = 70°

In triangle AEB,

Sum of all angles in a triangle = 180°

m∠EAB + m∠AEB +m∠EBA = 180°

60° + x° + 70° = 180°

130° + x° = 180°

Subtract 130° from both sides, we get

x° = 50°

x = 50

The value of x is 50.

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Write an exponential function to describe the given sequence of numbers, assuming that the first number in the sequence correspo
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Answer:

y = 5(6) {}^{x}

Step-by-step explanation:

A exponential function is represented by

y = ab {}^{x}

where a is the vertical stretch and b is the base and x is the nth

power of x

Since the first number corresponds with zero, that means our y intercept is the first number.

This means when x=0 , y=5 so let find the value of 5.

5 = ab {}^{0}

b to the 0th power equal 1 so

5 = a \times 1

a = 5

Our equation is for now

y = 5b {}^{x}

Now let plug in 1,30

30 = 5b {}^{1}

Divide 5 by both sides

6 = b {}^{1}

Anything to the 1st power is itself so b equal 6.

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6 0
2 years ago
An electronics company has developed a new hand held device. The company predicts that the start up cost to manufacture the new
alex41 [277]
Profit = revenue - expenses

expenses : 125,000 + 6.50x
revenue : 9x
so to make a profit, ur revenue (income) has to be higher then ur expenses

revenue > expenses
A. ) 9x > 125,000 + 6.50x
9x - 6.50x > 125,000
2.5x > 125,000
x > 125,000 / 2.5
x > 50,000......so they would have to sell at least 50,001 devices to make a profit <==

B.) the cost of making 1 device is 10% more then the company predicted....10% more then 6.50.....6.50(1.10) = 7.15.....this is the new cost of making 1 device <==

9x > 125,000 + 7.15x ....this is the inequality with the 10% more added
9x - 7.15x > 125,000
1.85x > 125,000
x > 125,000 / 1.85
x > 67,567.5......so to make a profit, they would have to sell at least 67,568 devices to make a profit <==


7 0
3 years ago
Which is an x-intercept of the continuous function in
arsen [322]
It’s (-1,0), because
5 0
2 years ago
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An orange has about 1/4 cup of juice. How many oranges are needed to make 2 1/2 cups of juice?
Vesna [10]

Answer:

10 oranges

Step-by-step explanation:

4 oranges are needed to make one cup. 2 cups is 8 oranges and 1/2 cup is 2 oranges

8 0
3 years ago
Ashley opened a lemonade stand on her street. It costs her $12.50 to buy the supplies each day, and she sells lemonade for $2.50
nasty-shy [4]

Answer:

75

Step-by-step explanation:

Subtract sales - expenses

200 - 12.5 = 187.5

2.5x = 187.5

Divide by 2.5 on both sides

187.5/2.5

x = 75

6 0
3 years ago
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