The vertices of a quadrilateral ABCD are A(1,1), B(1,5), C(5,5), and D(7,1).Part a) A trapezoid is a four-sided figure with exactly one pair of parallel sides. Is ABCD a trapezoid? Explain your answer.

Part b) You want to transform ABCD into a parallelogram by only moving point B. A parallelogram is a four-sided figure with both pairs of opposite sides parallel. What should be the new coordinates of point B? Explain your answer.

Answers

Answer 1

Answer: A. Yes ABCD is a trapezoid ONE way i remember this is trapezoids aerialist always the shape of some square/rectangle w/a triangle

B. You can always do tis on graph paper. So we will be moving point B from (1,5) to............... (-1,5)

Hope this helps!!!

Answer 2

Answer: As it stands now, A and D are on the same horizontal line, and B and C are on the same horizontal line. However, we want to move only point B.So, if we keep BC parallel to AD, then we want to have BC the same length as Ad, which is 6. Right now, the length of BC is 5-1= 4. So, to increase the length to 6, staying on the line y=5, we move B to (-1, 5).

Related Questions

jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:
Solve the system of equations using substitution. 3x + 2y = 7y = –3x + 11
Two studies were completed in California. One study in northern California involved 1,000 patients; 74% of them experienced flulike symptoms during the month of December. The other study, in southern California, involved 500 patients; 34% of them experienced flulike symptoms during the same month. Which study has the smallest margin of error for a 98% confidence interval?The northern California study with a margin of error of 3.2%. The southern California study with a margin of error of 3.2%. The northern California study with a margin of error of 4.9%. The southern California study with a margin of error of 4.9%.
Write the equation of the line whose slope is m=−9 and y-intercept is (0,5) in Slope Intercept Form. Show all work below.
Simplify the expression:(2f - 6)(-3)

Y=2x-2
y=x+2
substitution

Answers

y = 2x-2
y = x+2

y = y

2x-2 = x+2 |-x
x -2 = 2 |+2
x = 4

y = x+2
y = 4+2
y =6

It took carlos 1 hour 53 minutes to mow the lawn if he started at 8;10 am what time did he finish

Answers

well lets start with the one hour part- 1 hour added on to 8:10 is 9:10 + 53min. is 10:03 so calls finished mowing the lawn at 10:03 am.

To find when Carlos finished, you need to add both times. You can add whatever you prefer first. Let's say you add 53 first. Break down 53 into 50 and 3. 810 + 50 = 860. In time measurements it would be 9:00. Now add the 3 to 9:00, which is 9:03. Now we can add an hour. 9:03 + 1:00 (1 hour) = 10:03.

So Carlos finished at 10:03 A.M. Make sure to label A.M, or it will most likely be incorrect.

The sum of complementary angles is 90 degrees.
a. True
b. False

Answers

TRUE! because they are 90 degrees

Answer:

a. true

Step-by-step explanation:

Use the functions m(x) = 5x + 4 and n(x) = 6x − 9 to complete the function operations listed below.Part A: Find (m + n)(x). Show your work.

Part B: Find (m ⋅ n)(x). Show your work.

Part C: Find m[n(x)]. Show your work.

Answers

For this case we have the following functions:

For the sum of functions we have:

Substituting values:

Adding similar terms we have:

For the multiplication of functions we have:

Substituting values:

If we apply the distributive property we have:

Adding similar terms we have:

For the composition of functions we have:

Rewriting we have:

A. (m+n)(x)=
5x+4+6x-9=
11x-5

B. (mn)(x)=
(5x+4)(6x-9)=
30x^2+24x-45x-36=
30x^2-21x-36

C. basically sub n(x) for x in m(x)
m(n(x))=
5(6x-9)+4=
30x-45+4=
30x-41

A photograph club has 100 members and 45 are women what fraction of the members represent women

Answers

It could be 45/100 but I'm sure you can simplify it.

Which number is equal to 4/2

Answers

Answer:

Step-by-step explanation:

4/2 is the same as 4 divided by 2

Other Questions

Mr. Swanson has $350 to order music books for the new school year. Music books cost $10 each and come in packages of 5. Mr. Swanson orders 6 packages.

Please someone help me i do not know the answer

Which of the following are useful ways of finding the value of a variable? Check all that applyA.Writing an equation B.Drawing a graph C.Reading a table D.Drawing a diagram

What is the value of the expression? tanΠ\6