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
lidiya [134]
1 year ago
7

Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, a parallelogram, or none. List all that apply. Explain

.
--
Help pls? anyone :(?

Mathematics
1 answer:
svlad2 [7]1 year ago
5 0

Answer:

  • ABCD is a rhombus, and a parallelogram

==================================

<h3>Given </h3>

  • Points A(-6, - 1), B(4, - 6), C(2, 5), D(- 8, 10)

First, plot the points (see attached picture).

Then, connect all the points.

<h3>We see that:</h3>

  • Opposite sides are parallel,
  • Diagonals are perpendicular.

From our observation the figure is rhombus.

Let's confirm it with the following.

1) Find midpoints of diagonals and compare.

  • AC → x = (- 6 + 2)/2 = - 2, y = (- 1 + 5)/2 = 2
  • BD → x = (4 - 8)/2 = - 2, y = (- 6 + 10)/2 = 2

The midpoint of both diagonals is same (- 2, 2).

2) Find slopes of diagonals and check if their product is -1, this will confirm they are perpendicular.

  • m(AC) = (5 - (-1))/(2 - (-6)) = 6/8 = 3/4
  • m(BD) = (10 - (-6))/(-8 - 4) = - 16/12 = - 4/3

  • m(AC) × m(BD) = 3/4 * (- 4/3) = - 1

<u>Confirmed.</u>

So this is a rhombus and also a parallelogram but <u>not</u> rectangle or square, since opposite angles are not right angles.

You might be interested in
Which expression is equivalent to –0.25x + 1.5 – 0.5x - 2?
Pie
The answer to that is D
3 0
3 years ago
Read 2 more answers
Pls help soon:)
Tanzania [10]
Correct answers are:
(1) <span>28, 141 known cases
(2) 79913.71 known cases after six weeks (round off according to the options given)
(3) After approx. 9 weeks (9.0142 in decimal)

Explanations:
(1) Put x = 0 in given equation
</span><span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(0)
</span>y= 28, 141


(2) Put x = 6 in the given equation:
<span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(6)
</span>y= 79913.71

(3) Since
y= 28, 141 (1.19)^x
And y = <span>135,000

</span>135,000 = 28, 141 (1.19)^x
135,000/28, 141 = (1.19)^x

taking "ln" on both sides:
ln(4.797) = ln(1.19)^x

ln(4.797) = xln(1.19)
x = 9.0142 (in weeks)

5 0
3 years ago
3. Find a in the given figure.​
Anvisha [2.4K]

Answer:

Step-by-step explanation:

Angles a and b are opposite, so they are equal. The same is true for angles O and 3b.

So, the four angles are actually (starting from the left and going clockwise) 3b,b,3b,b

These four angles sum up to 360, so we have

3b+b+3b+b =8b = 360 \iff b = \dfrac{360}{8} = 45

And since a and b were the same, a is also 45 degrees.

3 0
3 years ago
In sunlight, a vertical yardstick casts a 1 ft shadow at the same time that a nearby tree casts a 15 ft shadow. How tall is the
kati45 [8]

Answer: A) 45 ft

Step-by-step

The yardstick is 3ft tall since 1 yard = 3ft. It is 3 times as tall as its shadow. The tree has a 15ft long shadow. The tree should also be 3 times as tall as its shadow. The tree is 15*3ft tall, so it is 45ft tall. I attached an image of the diagram I made.

4 0
3 years ago
Answer ASAP!! Please! Will give brainliest!
ale4655 [162]
This is what you’re looking for !

7 0
2 years ago
Other questions:
  • PLEASE HELP WILL GIVE BRAINLIEST!!! What does the degree of a polynomial expression tell you about its related polynomial functi
    9·1 answer
  • Jenna lives 4 3/10 miles from school. She estimates that she travels 4×2×5 or 40 miles each week. Is her estimate an overestimat
    6·2 answers
  • Rewrite the expression<br> as a<br> single rational number,<br> 4<br> 80 + (-22<br> 15<br> )
    10·1 answer
  • Which is a better buy, 5 apples for $2.10, or 7 apples for $3.01
    15·1 answer
  • Where was a error made in combining and solving the equation below?
    8·1 answer
  • A truck is dispatched for a delivery at 8:30 AM to a customer 50 miles away
    11·1 answer
  • A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distr
    13·1 answer
  • How many terms are in the expression 5x+3y-2z​
    9·2 answers
  • Hi can you guys please help me on these two?!
    12·2 answers
  • You roll a number cube twenty times and it lands on a 3 five times. What is the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!