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harkovskaia [24]
3 years ago
13

Lines AC and BD intersect at E. A figure. What is the measure of angle BEC?

Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

Angle BEC = 108°

Step-by-step explanation:

Vertical angles formed when two straight lines intersect are always congruent to each other. That is, the vertical opposite angles formed are of the same measure.

Angle AED = 108°

Angle AED and angle BEC are vertical opposite angles form by intersecting lines, therefore, angle AED = angle BEC.

Angle BEC = 108°

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babymother [125]
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Then u would put 2 at the front to get:
2(x^2+18x+81)
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Sketch the graph of each line y=-9x-5
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5 0
3 years ago
15/4 in to equal mixed number
Temka [501]

9514 1404 393

Answer:

  3 3/4

Step-by-step explanation:

  \dfrac{15}{4}=\dfrac{12+3}{4}=\dfrac{12}{4}+\dfrac{3}{4}\\\\=3+\dfrac{3}{4}=\boxed{3\dfrac{3}{4}}

__

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5 0
3 years ago
The total cost to rent 5 chairs and 3 tables is $27. The total cost to rent 2 chairs and 12 tables is $81. What is the cost to r
kati45 [8]

The cost to rent each chair is $1.5 and cost to rent each table is $6.5

<h3>Applications of systems of linear equations </h3>

From the question, we are to determine the cost to rent each chair and each table

Let c represent chair

and

t represent table

From the given information,

The total cost to rent 5 chairs and 3 tables is $27

That is,

5c + 3t = 27 ------------ (1)

Also,

The total cost to rent 2 chairs and 12 tables is $81

That is,

2c + 12t = 81 ---------- (2)

Now, solve the equations simultaneously

5c + 3t = 27 ------------ (1)

2c + 12t = 81 ---------- (2)

Multiply equation (1) by 2 and multiply equation (2) by 5

2 × [5c + 3t = 27 ]

5 × [2c + 12t = 81 ]

10c + 6t = 54        ------------- (3)

10c + 60t = 405   ------------- (4)

Subtract equation (4) from equation (3)

10c + 6t = 54        

10c + 60t = 405

---------------------------

-54t = -351

t = -351/-54

t = 6.5

Substitute the value of t into equation (2)
2c + 12t = 81

2c + 12(6.5) = 81

2c + 78 = 81

2c = 81 - 78

2c = 3

c = 3/2

c = 1.5

∴ The cost of chair is $1.5 and cost of table is $6.5

Hence, the cost to rent each chair is $1.5 and cost to rent each table is $6.5

Learn more on Solving system of linear equations here: brainly.com/question/13729904

#SPJ1

8 0
1 year ago
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