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kkurt [141]
3 years ago
6

Find the value of x for which abcd must be a parallelogram

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
6 0
X+3=2x-1
3=x-1
4=x
x=4
PLZ Make Me Brainliest
LekaFEV [45]3 years ago
4 0

Answer:

x = 4 is the value for which ABCD will be a parallelogram.

Step-by-step explanation:

In the given figure ABCD is the parallelogram in which opposite sides AB is parallel and equal to CD.

Since BD is transverse so m∠ABD = m∠BDC

Therefore, (x + 3) = (2x - 1)

x = 2x - 1 - 3

x = 2x - 4

x - 2x = -4

-x = -4

x = 4

For x = 4, quadrilateral ABCD will be a parallelogram.

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A bus company has contracted with a local high school to carry 450 students on a field trip. The company has 18 large buses whic
Galina-37 [17]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the big buses and y represent small buses. The large buses can carry 30 students and the small buses can carry 15 students. The total number of students are 450, this can be represented by the inequality:

30x + 15y ≤ 450

They are only 20 drivers, therefore only 20 buses can be used. It is represented by:

x + y ≤ 20

They  are only 19 small buses and 18 large buses:

x ≤ 18

y ≤ 19

After plotting the graph, the minimum solution to the graph are at:

A (15,0), B(18,0), C(10, 10), D(18, 2).

The cost function is given as:

The total cost of operating one large bus is $225 a day, and the total cost of operating one small bus is $100 per day.

​

F(x, y) = 225x + 100y

At point A:

F(x, y) = 225(15) + 100(0) = $3375

At point B:

F(x, y) = 225(18) + 100(0) = $4050

At point C:

F(x, y) = 225(10) + 100(10) = $3250

At point D:

F(x, y) = 225(18) + 100(2) = $4250

The minimum cost is at point C(10, 10) which is $3250

3 0
3 years ago
X + y =7<br>x - y= 1<br><br>find X and Y​
Lena [83]
X=4 Y=3 djdndndjdnsnsndbdbdbdd
7 0
3 years ago
Read 2 more answers
What do you notice about the ratios of the lengths for each transversal? How do they compare?
lesya [120]

Answer:

Wait what my brain hurtssssss

4 0
3 years ago
Read 2 more answers
A cube is sliced as shown. Find the area of the cross section formed by the slice.
Alex

Answer:

35

Step-by-step explanation:

what you gotta do is multiply 5 * 7 to get 35

6 0
2 years ago
Read 2 more answers
Two communications companies offer calling plans. With Company X, it costs 30¢ to connect and then
tensa zangetsu [6.8K]
<h3>Answer:  n+15</h3>

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

Explanation:

  • n = number of minutes
  • cost of company X = 3n+30
  • cost of company Y = 2n+15

To find out how much more company X charges, we subtract the two cost expressions

CompanyX - CompanyY = (3n+30)-(2n+15) = 3n+30-2n-15 = n+15 which is the final answer.

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

An example:

Let's say you talk on the phone for n = 20 minutes.

Company X would charge you 3n+30 = 3*20+30 = 90 cents

Company Y would charge you 2n+15 = 2*20+15 = 55 cents

The difference of which is 90-55 = 35 cents.

If you plugged n = 20 into the n+15 expression we got, then n+15 = 20+15 = 35 matches up with the previous 35 cents.

This example helps confirm the answer. I'll let you try out other examples.

8 0
2 years ago
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