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
WITCHER [35]
3 years ago
15

For what values of x and y must each figure be a parallelogram?

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
5 0

Answer:

solutions are

x=\frac{173}{7}

y=\frac{166}{7}

Step-by-step explanation:

We are given that

it is parallelogram

so, alternate angles must be equal

Since, it is parallelogram

so, sum of alternate  angles must be 180

we get

x+9+2y+2x+2y+2=180

we will get equation as

x+2y+2x+2y+11=180

3x+4y+11=180

3x+4y=169

we know that diagonal bisect angles

so, we get

2x=2y+2

now, we can solve for x

x=y+1

now, we can plug this into first equation

3(y+1)+4y=169

now, we can solve for y

7y+3=169

y=\frac{166}{7}

now, we can find x

x=\frac{166}{7}+1

x=\frac{173}{7}

So, solutions are

x=\frac{173}{7}

y=\frac{166}{7}


Illusion [34]3 years ago
4 0

Answer:

x=11,y=10.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other.

We can form an equation in x and y using this property.

2y+2=2x

and x+9=2y.

Solving the second  equation for x ,

x=2y-9.

Substituting x value in 2y+2=2x

2y+2=2(2y-9)

Or ,2y+2=4y-18.

Adding 18 both sides:

2y+20=4y.

Subtracting 2y both sides

20=2y.

Dividing both sides by 2:

y=10.

x=2y-9

x=2(10)-9 ( substituting y value)

x=20-9=11

x=11 and y=10 will make the figure a parallelogram.

You might be interested in
You're playing a game when you defend your village from an orc invasion there are three characters elf hobbit or human and five
34kurt

The probability that you'll be a magic elf is \frac{1}{15} or 6.66%.

Step-by-step explanation:

Step 1:

Let A be the event of you choosing an elf.

The probability of an event is given by dividing the number of favorable outcomes by the total number of outcomes.

Here the number of favorable outcomes is 1 and the total number of outcomes is 3 i.e. elf, hobbit or human.

The probability of choosing an elf, P(A) = \frac{1}{3} .

Step 2:

Let B be the event of you choosing magic as your defense.

In this situation, the number of favorable outcomes is 1 and the total number of outcomes is 5 i.e. magic, sword, shield, slingshot, or umbrella.

The probability of choosing magic as your defense, P(B) = \frac{1}{5} .

Step 3:

The probability of both events A and B happening, we multiply the individual probabilities.

P(getting a magic elf) = (P(A))(P(B)) = (\frac{1}{3} )(\frac{1}{5} ) = \frac{1}{15} = 6.66\%.

8 0
3 years ago
What is the value of 8/9 divided by 5/12?
bulgar [2K]

Answer: 96/45

Step-by-step explanation: The answer is 96/12 because to divide fractions you reciprocate the second fraction and turn it into a multiplication problem.  

8 times 12 = 96

9 times 5 = 45

96/45

7 0
3 years ago
Read 2 more answers
What is the angle relationship between ZBAC and ZDCA?<br> F<br> R<br> G
horsena [70]

The angle BAC and DCA are alternate interior angles , Option D is the right answer.

What are Parallel Lines ?

The lines in a plane which never intersect and are at a same distance always are called Parallel Lines.

In the given question it is given that there are two lines FG and DE

The lines are parallel to each other , and transversal are AC and BC .

The angle BAC and DCA are alternate interior angles as AC is the transversal of the parallel lines.

Option D is the right answer.

To know more about Parallel Lines

brainly.com/question/16701300

#SPJ1

4 0
2 years ago
If the circumference of a circle measures 12π cm, what is the area of the circle in terms of π?
Xelga [282]

If C=2\pi r then r=6 and A=\pi r^2=\boxed{36\pi}.

Hope this helps.

4 0
3 years ago
Read 2 more answers
If the perimeter of an equilateral triangle is 30 ft, what is the area?
Sergio039 [100]
Divide the perimeter by 3 to find the side length.
Since the formula for the are of a triangle is
1/2 * b * h the height must be found.
If a perpendicular line is drawn from the apex of the triangle, a right triangle is formed with a base of 5 and a hypotenuse of 10. Also since it originally was equilateral the base angle is 60 degrees. The rules for finding lengths of sides of equal. Triangles is long leg = sqrt3 * short leg
the height is the long leg so the height is 5sqrt3.
A=(1/2)(10)(5sqrt3)= 25sqrt3
8 0
3 years ago
Other questions:
  • A pet store has 10 puppies for every 6 kittens. What is the ratio of kittens to puppies?
    14·1 answer
  • What two numbers add up to -22 and multiply to -75
    5·1 answer
  • Identify the glide reflection rule to map ΔABC onto ΔA′B′C′ in the given figure.
    6·1 answer
  • If 16 of 200 apples were bad, what percent is that?
    8·2 answers
  • HELPPPP MEEEEEE
    9·1 answer
  • 1. What is an extraneous solution of an equation?
    5·1 answer
  • How many “2 x 2 x 2” cubes will fit into a “4 x 4 x 4” box?
    6·1 answer
  • What is thee answer?
    8·1 answer
  • The height of a trapezoid is 8 in. and its area is 80 in2. One base of the trapezoid is 6 inches longer than the other base. Wha
    6·1 answer
  • Use the information provided to answer Part A and Part B. A store owner paid \$ 15$15 for a book. She marked up the price of the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!