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3 years ago

Find the solution to the system of equations.

Mathematics

1 answer:

kompoz [17]3 years ago

4 0

Answer:

The answer is option A.

Hope this helps

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Prove: Quadrilateral ABCD is a parallelogram.

Brilliant_brown [7]

Answer:

Step 3.

m∠ AEB = m∠ CED .........By Vertical Angles Theorem.

Step-by-step explanation:

Vertical Angles Theorem:

Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines,are congruent.

If two lines intersect each other we have two pair of vertical opposite angles. As shown in the figure.

Here,

∠ 1 and ∠ 2 are vertical opposite angles and also they are equal.

∠ 3 and ∠ 4 are also vertical opposite angles and also they are equal.

For,

step 3. m∠ AEB = m∠ CED

Therefore, the reason for step 3 of this proof is Vertical Angles Theorem.

6 0

3 years ago

A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $1

Nutka1998 [239]

Answers:

To reach the breakeven point, how many attendees will that take? <u> 117 </u>

What will be the company's total expenses and revenues? <u> $1755 for each </u>

=============================================================

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) = 1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

7 0

2 years ago

Select all the statements that correctly describe the solutions to this system of equations?

Luba_88 [7]

x + y = 9

x = 9 - y

2x - y = 0

2(9 - y) - y = 0

18 - 2y - y = 0

-3y = -18

y = 6

x = 9 - y

x = 9 - 6

x = 3

5 0

2 years ago

When you flip a biased coin the probability of getting a tail is 0.75.

Blababa [14]

Answer:

180

Step-by-step explanation:

It's 180 because 75% of 240 is 180.

5 0

10 months ago

8, 6, 4, 2, 0, . . . Whats the value of the next sequence

kvv77 [185]

Answer:

-2, -4, -6, -8, -10......

Step-by-step explanation:

The sequence is in a decreasing order of -2 for the next sequence.

4 0

2 years ago

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