1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Paraphin [41]
3 years ago
11

Quadrilateral FLAG has coordinates F(1,5), L(6,3), A(3,-1), and G(-2,1). Which

Mathematics
2 answers:
Crazy boy [7]3 years ago
6 0

Quadrilateral FLAG has coordinates F(1,5), L(6,3), A(3,-1), and G(-2,1). Which

statement is true?

Quadrilateral FLAG is a rhombus because all sides are congruent.

Quadrilateral FLAG is a parallelogram because opposite sides are parallel.

Quadrilateral FLAG is only a quadrilateral because no sides are congruent and no

sides are parallel.

Quadrilateral FLAG is a trapezoid because only one pair of sides are parallel.

Saludos

☺☺☺☺☺☺☺

Anettt [7]3 years ago
3 0

Answer:

  • B. Quadrilateral FLAG is a parallelogram because opposite sides are parallel.

Step-by-step explanation:

<em>Refer to attached.</em>

Plot the point and connect in order FLAG.

<u>We see </u>

  • FL ║ GA
  • GF ║ AL
  • FA and GL are not perpendicular

<u>All the above can be confirmed by calculating the slopes:</u>

  • m(FL) = (3 - 5)/(6 - 1) = -2/5
  • m(GA) = (1 + 1)/(-2-3) = -2/5
  • These are same.
  • m(GF) = (5 - 1)/(1 + 2) = 4/3
  • m(AL) = (3 + 1)/(6 - 3) = 4/3
  • These are same
  • m(FA) = (-1 - 5)/(3 - 1) = -3
  • m(GL) = (3 - 1)/(6 +2) = -1/4
  • These are negative but not reciprocal

The quadrilateral is a parallelogram.

Correct choice is B

You might be interested in
The physics department of a college has 8 male professors, 11 female professors, 16 male teaching assistants, and 6 female teach
Lera25 [3.4K]
To determine the probability that one or the other circumstances will occur, you will count the number of possible outcomes and divide it by all the possible outcomes.

#of female teaching assistants + # of male teaching assistants + # of female professors

6 + 16 + 11 = 33

Total = 41

33/41 = 80

There is a approximate 80% probability that one or the other will occur.
6 0
3 years ago
Read 2 more answers
On the first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $6
denis-greek [22]

<u>ANSWER:</u>

The price of senior citizen ticket is $4 and price of child ticket is $7.

<u>SOLUTION: </u>

Given, first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75.  

The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets.  

We need to find what is the price each of one senior citizen tickets and one child tickets.

Let, the price of senior citizen ticket be "x" and price of child ticket be "y"

Then according to the given information,

3x + 9y = 75

x + 3y = 25  [by cancelling the common term 3.

x = 25 – 3y ---- (1)

And, 8x + 5y = 67 ---- (2)

Substitute (1) in (2)

8(25 – 3y) + 5y = 67

200 – 24y + 5y = 67

5y – 24y = 67 – 200

-19y = -133

y = \frac{133}{19}

y = 7

Now substitute y value in (1)

x = 25 – 3(7)

x = 25 – 21  = 4

Hence, the price of senior citizen ticket is $4 and price of child ticket is $7.

4 0
3 years ago
The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can thi
pentagon [3]

Answer:

9,240 ways possible in which  this can be accomplished if there are 22 members on the board of directors.

Step-by-step explanation:

Total number of available members in the board = 22

The number of posts chosen are a president, a secretary, and a treasurer.

<u>For the Post of President:</u>

The number of available options to choose a president = 22  options

<u>For the Post of Secretary:</u>

As we can not repeat the members because one person CANNOT hold two positions simultaneously.

The number of available options to choose a secretary = 21  options

<u>For the Post of Treasurer:</u>

As we can not repeat the members because two person CANNOT hold three positions simultaneously.

The number of available options to choose a treasure = 20 options

Now, the  possible ways can this whole election be accomplished is the product of all possible options

= 22 option x 21 option x 20 option

= 9,240 ways

Hence, there are 9,240 ways possible in which  this can be accomplished if there are 22 members on the board of directors.

4 0
3 years ago
The length and width of a rectangle is (x + 5) and x, respectively.
iris [78.8K]

Answer:

the lenght of the rectangle is five more than the width

4 0
3 years ago
Please help:):):) Your awesome​
bonufazy [111]

Answer:

Q1: 11x - 8

Q2: 2x + 10

Q3: -3v + 12

3 0
3 years ago
Read 2 more answers
Other questions:
  • The price of a notebook was $3.70 yesterday. Today, the price fell to $3.20. Find the percent decrease
    7·1 answer
  • Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution se
    5·2 answers
  • Ramla has two full 1.5 litre bottles of water. She wants to fill as many glasses as possible with water from the bottles. Each g
    9·1 answer
  • A fraction thar has a variable or variable expression in its numerator it's denominator or both
    9·2 answers
  • I have 3 times as many nickels as quarters. How many quarters do I have if I have
    9·1 answer
  • 4 quarts of lemonade using 13 cup of sugar. Which expression could be used to determine the amount of sugar needed to make 1 qua
    14·1 answer
  • A certain magical substance that is used to make solid magical spheres costs $800 per cubic foot. The power of a magical sphere
    11·1 answer
  • What is the slope of the line?y−3=5(x−2)
    8·1 answer
  • 1/2x^2-x-4=0 (PLEASE GIVE REAL ANSWER)
    6·1 answer
  • Find (x + 4)(x2 + x - 2). Write your answer in standard form.<br> Answer please
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!