Determine whether each quadrilateral is a parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)

Determine Whether Each Quadrilateral Is A Parallelogram. Justify Your Answer. Yes/No? Reason... Opposite

Answers

Answer 1

Answer:

Yes! The given quadrilateral represents Parallelogram.

Reason:  The given quadrilateral has opposite angles congruent.

Step-by-step explanation:

Given the quadrilateral with the angles

118°62°62°118°

We know that the sum of the angles of a quadrilateral is 360.

so

118°+62°+118°+62° = 360°

Thus, the given figure is indeed a quadrilateral.

Now in order to determine whether the given quadrilateral is a parallelogram or not, we need to check whether the opposite angles are congruent or not.

If the angles opposite of each other will have the same measurement, then the quadrilateral will represent Parallelogram.

It is clear that the given quadrilateral has two pairs of equal opposite angles.

i.e. The angle 118° has the same opposite angle 118° and the angle 62° has the same opposite angle 62°.

Therefore, the given quadrilateral represents Parallelogram.

Hence,

Yes! the given quadrilateral represents Parallelogram.

Reason: The given quadrilateral has opposite angles congruent.


Related Questions

Subtract 6q from 10z

Answers

Answer:

10z-6q..............

Ig it’s 4qz (I’m a 7th grader)

Find an equation for the nth term of the arithmetic sequence. 9, 11, 13, 15...
A. an = 9 + 2(n-1)
B. an = 9 + 2(n+1)
C. an = 9 + 2
D. an = 9 * 2(n)

Answers

Answer:

2n+7

Step-by-step explanation:

find the difference

and see the difference from the 2 Times table to the original sequence

and write it as an equation for this sequence

Answer:

A

Step-by-step explanation:

The mean of first five natural numbers is

Answers

Answer:

Step-by-step explanation:

Mean of first five natural numbers =  sum of first 5 natural numbers ÷ 5

                                         = (1 + 2 + 3 + 4 + 5)÷ 5

                                        = 15 ÷ 5

                                       = 3

Your friend solved the
equation 4x + 12x - 6 = 4(4x + 7) and got x = 34.
What error did your friend make? What is the
correct solution?
4x + 12x - 6 = 4 (4x
4 (4x + 7
)
16x
16x + 28
- 166 6 166 16x + 28
x-6=28
x - 6+ 6 = 28 + 6
x = 34

Answers

Answer:

The equation is flawed.

Step-by-step explanation:

4x+12x-6=4(4x-7)

simplifying

16x-6=16x-28

-6 does not equal -28

The equation is flawed.

The required simplified solution of the given expression is given as x = 8.5.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
4x + 12x - 6 = 4(4x + 7)
16x - 6 = 12x + 28
16x - 12x = 28 + 6

4x = 34
x = 8.5

Thus, The required simplified solution of the given expression is given as x = 8.5.

Learn more about simplification here:

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What is £11 increased by 2%?

Answers

Answer:

it is 11.22. i hope this helps

Evaluate a^0b^-2 for a=-2 and b=-3

Answers

Step-by-step explanation:

a^0b^-2...place -2 and -3 respectively

(-2^0)(-3^-2)

(1)(1/-3^2)

(1)(1/9)

Write an equation that contains the points (3,5) and
(-2,10) on a line.
.. i just need an equation:)

Answers

Answer:

y = –x +8

x + y = 8

(10 -5) is the rise and (-2-3) is the run

Dylan is evaluating the expression 13 + 19 + 7 + 10. At one step in his work, Dylan rewrites the equation as 13 + 7 + 19 + 10. Which property of addition must Dylan have used when he evaluated the expression?
associative property
commutative property
distributive property
identity property

Answers

Answer:

1

Step-by-step explanation:

i am not sure but that is what i got.

Answer:

b). Commutative property

Step-by-step explanation:

IM IN DANGER OF FAILING PLEASE HELP ME

Answers

Answer:

Scale factor = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Scale factor of the two similar figures is given by the formula,

Scale factor = [tex]\frac{\text{Dimension of image}}{\text{Dimension of Original}}[/tex]

Here, it's given that smaller figure = image

And larger figure = Original

Therefore, scale factor = [tex]\frac{15}{25}[/tex]

                                      = [tex]\frac{5\times 3}{5\times 5}[/tex]

                                      = [tex]\frac{3}{5}[/tex]

Answer: Scale factor = [tex]\frac{3}{5}[/tex]

PLZZZ HELP ME ITS DUE TODAY AT 11:59, HELPPPP
1: In one year, Jerry lost $1,620 in the stock market. What was the average change in his stocks each months.
2: Devon lost 3 pounds each month for 7 months. What was the net change in Devons weight after the 7 months.

3: In a game, your score starts at 0. You lose four points three times in a row. You then gain two points. What is your score after those four turns?

Answers

Answer:

1) . Divide that number by 12 months

1620/12 = 135

2) 3 x 7 = 21

21 pounds lost

3) 0 - 4 - 4 - 4 + 2 = -10 points

hope this helps :)

Step-by-step explanation:

Answer:

1. 135

2. 21

3.-10

Step-by-step explanation:

PLEASEEE PLEASE I BEGGGGGG YOOOOOOOOOUUUUUU

Answers

Answer:

3 types of variables Question 1

Independent Variable Question 2.

Dependent Variable Question 3.

Step-by-step explanation:

The arrow is the variable that is controlling, and the independent variable is the outcome of the experiment.

the diameter of a cylinder is 8 inches. the height is 12 inches. what is the surface area of the cylinder?

Answers

Answer:

[tex]\boxed{\boxed{\pink{\tt \leadsto The \ Surface\ Area \ is \ 402.28\ in.^3. }}}[/tex]

Step-by-step explanation:

Given that the the diameter of a cylinder is 8 inches. the height is 12 inches. And we need to find its surface area .

Hence here ,

Height = 12 inches Diameter of base = 8 inches

Figure :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4\ in.}}\put(9,17.5){\sf{12\ in.}}\end{picture}[/tex]

[tex]\bf\implies TSA_{Cylinder}= 2\pi r ( r + h) \\\\\bf\implies TSA_{Cylinder} = 2\pi \dfrac{8\ in.}{2} \bigg( \dfrac{8\ in.}{2} + 12 in.\bigg)\\\\\bf\implies TSA_{Cylinder} = 2\pi \times 4 ( 4 \ in.+ 12 \ in.) \\\\\bf\implies TSA_{Cylinder}= 8 \times \dfrac{22}{7}\times 16 in.^3 \\\\\bf\implies\boxed{\red{\bf TSA_{cylinder}= 402.28 in.^3}}[/tex]

Hence the Surface area of the Cylinder is 402.28 in.³ .

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The surface area of the cylinder is 402.124 inches².

What is a cylinder?

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

The surface area of a cylinder is the sum of the area of the base and the lateral area of the curved cylinder.

Given that the diameter of the cylinder is 8 inches, while the height of the cylinder is 12 inches. Since the radius is half the length of the diameter. Therefore, the radius of the given cylinder is 4 inches.

Now, the surface area of the cylinder is,

Surface area of the cylinder = Area of the bases + Area of the curved surface

= 2(πr²) + 2πrh

= 2(π × 4²) + (2 × π × 4 × 12)

= 2(50.265) + 301.5928

= 100.5309 + 301.5928

= 402.124 inches²

Hence, the surface area of the cylinder is 402.124 inches².

Learn more about Cylinder here:

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Mei runs 92.16 miles in 3 weeks. If she runs 6 days each week, what is the average distance she runs each day? THIS IS DUE IN 10 MINS

Answers

Step-by-step explanation:

Mei runs 6 days each week.

=> Mei runs 18 days in 3 weeks.

Since she ran 92.16 miles in 18 days,

She ran 92.16 miles / 18 days

= 5.12 miles/day.

which equivalent models the data in the table
y equals x minus 3
y = x + 3

y = x + 2
y equals 4X ​

Answers

Y=x+3
Substitute the numbers in the formula

I need help ASAP please anybody!! Giving brainliest

Answers

Answer:

I'm pretty sure it's 24

Step-by-step explanation:

2×4=8

8×3= 24

Answer:

24 goals

Step-by-step explanation:

So we know that Jake scored 2 goals in soccer the season and we also know that Jamie scored 4 times as many goals as Jake so what we can do is take 2 and multiply at by 4 to get 8 goals for Jamie.

Now we know that Jamie scored 8 goals so we can do since we know that Edgar scored 3 times many goals as Jamie is take 8 and multiplied by 3 to get 24, so now we know that Edgar scored 24 goals in total.

Identify the values of the variables. Give your answers in the simplest radical form.

Answers

Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

[tex] sin(60) = \frac{9}{k} [/tex]

Multiply both sides by k

[tex] k*sin(60) = 9 [/tex]

Divide both sides by sin(60)

[tex] k = \frac{9}{sin(60)} [/tex]

[tex] k = \frac{9}{\frac{\sqrt{3}}{2}} [/tex]

[tex] k = 9*\frac{2}{\sqrt{3}} [/tex]

[tex] k = \frac{18}{\sqrt{3}} [/tex]

Rationalize

[tex] k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}} [/tex]

[tex] k = \frac{18\sqrt{3}}{3} [/tex]

[tex] k = 6\sqrt{3} [/tex]

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

[tex] tan(60) = \frac{9}{f} [/tex]

Multiply both sides by f

[tex] f*tan(60) = 9 [/tex]

Divide both sides by tan(60)

[tex] f = \frac{9}{tan(60)} [/tex]

[tex] k = \frac{9}{\sqrt{3}} [/tex]

Rationalize

[tex] k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}} [/tex]

[tex] k = \frac{9\sqrt{3}}{3} [/tex]

[tex] k = 3\sqrt{3} [/tex]

Find the value of y
A. 8√2
B. 4√2
C. 2√2
D. 4

Answers

Option b is the right answer

Five basketball players try to make as many points as possible in each game. They have a mean of 12 points per game. If the first four players score 10, 14, 20, and 8 points each, how many points must the fifth player have made?

a. 20 points
b. 8 points
c. 12 points
d. 10 points​

Answers

I believe it's 12 points if I'm wrong I'm sorry hope this helps

Answer:

12 poibts i think sorry if wrong

what is the are of the figure below

Answers

Answer:

68 inches squared

Step-by-step explanation:

First, the squares:

3*3 = 9

3*3 = 9

9 + 9 = 18

Next, the rectangle inside of the hexagon

3*10 = 30

Finally, the little shapes to the side of the rectangle that we just created:

We can split them into 4 triangles:

1/2(5)*2 = 5

5(4) = 20

Add all the areas up:

18 + 30 + 20 = 68

How many times is 5 x 10e 6 larger than 5 x 10e4 ?

Answers

Answer:

100 times

Step-by-step explanation:

10^6 - 10^4 = 10^2

10^2 is 100

Mike purchased a Superman game for $11.01 and a Batman game for $6.93 with a $20 bill. Mike already owns 4 games. How much change did mike get?

Answers

2.06 I think I’m not sure
$ 2.06 change, all you have to do is add the 2 numbers and subtract the answer from 20

halloween hut ordered 80 boxes with 20 costumes in each box. they also ordered 12 boxes with 90 masks in each box. how many more costumes than masks did they order?

Answers

80x20=1600 costumes
12x90=1080 masks
1600-1080=520
they ordered 520 more costumes than masks. hope this helps!

learning task 5. identify what is asked item below.
1.what number i am between 21 and 31 a multiple of 4 and 7​

Answers

The number 28 is your answer

Which expression results from using the Distributive Property? 2(5 + 3r)

Answers

Answer:

6r + 10

Explanation:

2(5 + 3r)

= (2)(5 + 3r)

= (2)(5) + (2)(3r)

= 10 + 6r

= 6r + 10

12 increased by twice a number is 18. Find the number.

Answers

Answer:

the number is 3

Step-by-step explanation:

lets say the number is n

12+2n=18

2n=6

n=3

Hope it helps

in 15 minutes, joey rides his bike 2 miles. what the ratio for the number of miles too minute

Answers

Answer:

15:2

Step-by-step explanation:

the ratio is 15:2
———————




Which measurements could NOT represent the side lengths of a right triangle?
O 8 cm, 15 cm, 17 cm
O 20 cm, 21 cm, 29 cm
O 36 cm, 77 cm, 85 cm
O 7 cm, 28 cm, 32 cm

Answers

Step-by-step explanation:

A. 8 cm, 15 cm, 17 cm => This is a right triangle.

B. 20 cm, 21 cm, 29 cm => This is a right triangle.

C. 36 cm, 77 cm, 85 cm => This is a right triangle.

D. 7 cm, 28 cm, 32 cm => This is not a right triangle.

Ashley came to school 17 out of the last 20 days what percent of the last 20 days did Ashley come to school

Answers

Answer:

18

Step-by-step explanation:

3 points
6. Find out the missing
quantities in the
questions #2: In a
classroom the ratio of
girls to boys is 2:1. If there
are 24 girls, how many
boys are there? *
O A. 10 boys
O B. 11 boys
O C. 12 boys
OD. 13 boys

Answers

Answer:

12 boys

Step-by-step explanation:

2 : 1 = 24 : 12

Find cos θ for θ = 60°

Answers

Question

Find cos θ for θ = 60°

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