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Alchen [17]
3 years ago
6

In the diagram, lines and intersect at E. If m∠AED = 3x + 11 and m∠CEB = 125, find x. A. 19 B. 38 C. 42 D. 55

Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0

3X+11=125

3X=125-11

3X=114

X=114/3

X=38

So the answeris B 38

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A boat captain can see a lighthouse on the shore which is 103ft in front of him. If the lighthouse is 22ft tall, at what angle o
elena-14-01-66 [18.8K]

Answer:

  • 21°

Step-by-step explanation:

A boat captain, lighthouse and its base form a right triangle.

<u>We need to find the angle opposite to 22 ft side:</u>

  • tan x = 22/103
  • x = arctan (22/103)
  • x = 21°

<em>Note, option D should read 21° not 11°</em>

5 0
3 years ago
Please help, please
Kisachek [45]

Answer:

Total amount of fencing needed as an algebraic expression in terms of x is: <em>10x</em><em> </em><em>+</em><em> </em><em>3</em> .

Step-by-step explanation:

As it is given that each rectangle has the same dimensions, the dimensions of each rectangle must be: x units by 2x + 1 units.

Based on this, we can calculate the total amount of fencing needed.

Let width of each rectangle = x

Let length of each rectangle = 2x + 1

There are 4 widths and 3 lengths in total of fencing.

Therefore:

= 4 ( x ) + 3 ( 2x + 1 )

Expand:

= 4x + 6x + 3

Group like-terms:

= 10x + 3

7 0
3 years ago
A radio commercial for a loan company states: “You only pay $0.29 a day for
yuradex [85]
A loan of $1500 attracts a daily interest of 3(0.29) = $0.87
For 120 days you pay $0.87 x 120 = $104.40 interest.

I = PrT; where P is the principal, r is the annual interest rate and T is the time.
500 x r x 1/365 = 0.29
r = 0.29 x 365 / 500 = 105.85/500 = 0.2117

Therefore,, Annual interest rate = 21.17%
7 0
3 years ago
Read 2 more answers
You are a member of the fund-raiing committee for your chool. The committee i ponoring a fair. Each member of the committee ha a
Molodets [167]

The expression that represents the total amount that can be raised from selling 50 tickets is -2t + 250 and the total amount that can be raised is $194.

What is total revenue?

Total revenue is the amount of money earned by a company from the sale of its goods and services. In other words, businesses use this metric to determine how well their core revenue-generating operations are performing. Total revenue is directly related to marginal revenue.

Number of tickets that will be sold = 50

Number of student tickets that will be sold = t

Number of adult tickets that will be sold = 50 - t

The total amount of money that can be raised from selling 50 tickets is the sum of the total amount raised from selling student tickets and adult tickets.

Total revenue = total amount raised from selling students tickets + total amount raised from selling adults tickets

Total revenue = [3 x t] + [(50 -t) x $5]

Total revenue = $3t + $250 - 5t

Total revenue = -2t + 250

Total revenue = -2(28) + 250

Total revenue = -56 + 250 = $194

Hence, the expression that represents the total amount that can be raised from selling 50 tickets is -2t + 250, and the total amount that can be raised is $194.

To learn more about total revenue visit,

brainly.com/question/28362822

#SPJ4

8 0
2 years ago
Olivia is fixing her bicycle. She starts fixing it at 9:34 am and finishes at 1 pm. How much
zysi [14]

Answer:

3 hours 26 minutes

Step-by-step explanation:

26 minutes(9.34am to 10am)+3 hours(10am to 1pm)=3 hours 26 minutes

8 0
3 years ago
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