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
Sindrei [870]
1 year ago
12

Quadrilateral ABCD?​

Mathematics
1 answer:
Mashutka [201]1 year ago
6 0

The given quadrilateral is a kite.

Given: Point A (2, 4), B (-2, -5), C (7, -1) and D (7, 4)

Firstly, we find the distance between AD and DC

AD = \sqrt{(7 - 2)^{2} + (4 - 4)^{2}  }

⇒ AD = \sqrt{5^{2} }

⇒ AD = 5

DC = \sqrt{(7 - 7)^{2} + (4 - (-1))^{2} }

⇒ DC = \sqrt{5^{2} }

⇒ DC = 5

Hence, AD = DC = 5

Now, find the distance between AB and BC

AB = \sqrt{(-2 - 2)^{2}  + (-5 - 4)^{2} }

⇒ AB = \sqrt{(-4)^{2} + (-9)^{2}  }

⇒ AB = \sqrt{16 + 81}

⇒ AB = \sqrt{97}

BC = \sqrt{(7 - (-2))^{2} + (-1 - (-5))^{2}  }

⇒ BC = \sqrt{9^{2}  + 4^{2} }

⇒ BC = \sqrt{81 + 16}

⇒ BC = \sqrt{97}

Hence, AB = BC = √97

In the given quadrilateral, the two pair is of equal length and these sides are adjacent to each other.

Hence, it follows the property of kite.

For more questions on quadrilateral, visit:

brainly.com/question/23935806

#SPJ9

You might be interested in
What is the measure of angle B?
Andre45 [30]

60 degrees, because it's an equilateral triangle, as you can tell because the sides are all the same length.

3 0
3 years ago
The total number of? restaurant-purchased meals that the average person will eat in a? restaurant, in a? car, or at home in a ye
zmey [24]

Answer:

<em>The number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.</em>

Step-by-step explanation:

Suppose, the number of meals eaten in a restaurant is x , in a car is y and at home is z

The total number of meals eaten in a restaurant, in a car or at home is given as 163. So, the first equation will be......

x+y+z=163 .............................(1)

The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 13. So, the second equation will be......

y+z=x+13 ................................(2)

Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. So, the third equation will be......

x= z+20..................................(3)

First, <u>substituting equation (2) into equation (1)</u>, we will get........

x+(x+13)=163\\ \\ \Rightarrow 2x+13=163\\ \\ \Rightarrow 2x=163-13=150\\ \\ \Rightarrow x=\frac{150}{2}=75

<em>Now plugging this x=75 into equation (3)</em>, we will get......

75=z+20\\ \\ \Rightarrow z=75-20= 55

<em>Plugging x=75 and z=55 into equation (1)</em> .........

75+y+55=163\\ \\ \Rightarrow y+130=163\\ \\ \Rightarrow y=163-130=33

So, the number of restaurant-purchased meals eaten in a restaurant is 75, the number eaten in a car is 33 and the number eaten at home is 55.

8 0
3 years ago
Find the inverse of f(x)=-1/3x-5
andreyandreev [35.5K]
-1.6666 hope this helps you
6 0
2 years ago
Read 2 more answers
(07.04 MC) Find the length of the base of the following pyramid, given the height of the pyramid is 91 meters and the angle of e
Tatiana [17]
The nearest whole number I rounded to was 60
8 0
3 years ago
Read 2 more answers
$17.25 for 5 yards of frabic
Neko [114]
D onser is 1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...   KFC

8 0
3 years ago
Other questions:
  • Which fraction is larger 1/2 or 3/4
    8·2 answers
  • What do u call a Frog with a cast on each its back Legs
    10·2 answers
  • Plzz Help !!!! What í the equation of (2x+y)^3 ???
    12·1 answer
  • Convert 7500cm to meters
    11·1 answer
  • What is the answer for 47
    10·1 answer
  • (6e-3f-3/4) in a equivalent expression​
    12·1 answer
  • Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
    13·1 answer
  • Please help me i have a test in 15 minutes please say a b c or d it’s the top one
    9·1 answer
  • The velocity of a moving body is given by the equation V = 12t – 6t2. For what
    12·1 answer
  • Please help i will give brainly :
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!