Prove or disprove the figure defined by points A, B, C, d is a rhombus

Prove Or Disprove The Figure Defined By Points A, B, C, D Is A Rhombus

Answers

Answer 1

Answer:

It is not a rhombus, because all the internal angles are equal.

Step-by-step explanation:

A rhombus is a figure that has four sides of equal length, and 2 internal angles that are smaller than the other two internal angles.

First, let's look at figure ABCD.

We can see that all the sides have equal length by just counting the number of squares that each side takes (each side is 12 units long)

So now we need to see the angles.

Remember that if two lines are perpendicular, then the angle formed by those two lines is exactly 90°.

We can see that the segment BC is horizontal  (the y-value of B is the same than the y-value of C)

While the segment CD is vertical (the x-value of C is the same than the x-vale of D)

Then one segment is horizontal, and the other is vertical, which means that the segments are perpendicular, thus the angle C is 90°.

Now we can do the same for segments CD and DA

We already know that CD is a vertical segment.

For segment DA we can see that the y-value of D is the same as the y-value of A, then this segment is horizontal, this means that segments CD and DA are perpendiculars, which means that D = 90°.

Because DA is parallel to BC, and CD is parallel to BA, we can conclude that:

A = 90°

B = 90°

Then all the angles are equal, so this is not a rhombus. (it is a square)


Related Questions

3. The fish tank shown at right needs to be cleaned. The cleaning product instructions state that three drops should be put in the tank for every 140 cubic inches of water. How many drops of cleaner should be used?​

Answers

Drops = 27

First, we need to find the volume of the given tank using the following equation

[tex]Volume = Length*Width*Height\\Volume =14*9*10\\Volume =1260\\[/tex]

Now that we know the volume, we need to find out how many drops that we need to use. We can find that out using the following equation

[tex]Drops = 3\frac{Volume}{140} \\Drops = 3\frac{1260}{140} \\Drops = 3(9) \\Drops = 27[/tex]

2. The fabric wall hanging has an area of
112 square feet. The width is 8 feet.
What is the length?

Answers

Answer:

length = 14 feet

Step-by-step explanation:

112/8 = 14 feet

Answer:

14

Step-by-step explanation:

well we already can tell the no number under 10 will be eligible

so lets keep going

11, no it would only make 88,

12=96

13=104

14=112

the answer is 14

(help pls)
1. what is the probability of an event if event will never happen?
a. 0
b. 1
c. ½
d. ¼
2. which of the following can be the probability of an event?
a. -0.4
b. 1.004
c. 18 over 23
d. 10 over 7​

Answers

Answer:

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

➳ 0.

➳ 18 over 23.

Answer:

0 is the correct answer if you won't understand than contact me

Graph y=2x^2 please help

Answers

Answer:

there you go

Step-by-step explanation:

Here you go I hope this is correct

How do I find the volume of this?​

Answers

Answer:

(64+320π) cm^3

Step-by-step explanation:

The volume of a cube is the length*width*height, so

the volume of this cube is 4*4*4=64 cm^3

The volume of a cylinder is the base*height

The base of a cylinder is the area of a circle, which is π*the radius of the circle squared

The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.

The area of the base of the cylinder is π8^2=64π

Now, multiply the base by the height, 5

64π*5=320πcm^3

We now have the volume of the cube and the volume of the cylinder, so now we just add them:

(64+320π) cm^3

The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78

Find the MEAN of the temperatures. Round to the nearest tenths place.

A. 82.3

B. 89

C. 83

D. 78

Answers

Answer: A) 82.3

Step-by-step explanation:

Mean= average

To find mean, you add up all the numbers and divide by the number of numbers.

In this case you do:

(81+78+83+89+80+87+78) ÷ 7

81+78+83+89+80+87+78

=576

Now, divided by 7

576 ÷ 7

= 82.2857142857

Round to nearest tenths place

= 82.3

Alyssa was out at a restaurant for dinner when the bill came. Her dinner came to $25
She wanted to leave a 27% tip. How much was her meal plus the tip, before tax, in
dollars and cents?

Answers

$31.76 because .27 x 25= 31.76

In the triangle below, find the measurements of the unknown angles. A. 75º, 105° B. 40°, 80 c. 5° 10° D. 250 50 E. 35°, 70​

Answers

Answer:

A=35

Step-by-step explanation:

180-75=105, 105÷3=35, 35×2=70, 35+70+75=180

If you were to 'unroll' the cylinder you would find the side is actually ALWAYS a rectangle when flattened out?

Answers

Answer:

Yes

Step-by-step explanation:

It's harder to explain but think logically about it or get or get a piece of paper. Then roll it up in as many different ways that u can think of into a cylinder. If u unroll it then I I'll always be a rectangle  

Which expressions are differences of squares?

Select each correct answer.

Answers

Answer:

First two are difference in squares.

81=9^2 225=15^2

Answer:

The expression which denotes the differences of squares is

n² - 225

As here 225 is a square of 15.

Hope it will help :)❤

help please sos need help!!​

Answers

Answer: Plant 1!

Step-by-step explanation:

hereeeeeee plsssssss answeeeeerrrr im desperateeeee wil give brainliest plus 25 points!!

Answers

Answer:

b

Step-by-step explanation:

Answer:

second one

Step-by-step explanation:

look at the lines. the first line is at the 58 mark.

next one is at the 70, then 78, 86, and 96.

Are these two angles complementary, supplementary, or neither? NEED HELP ASAP


A Complementary Angles

B Supplementary Angles

C Neither

Answers

Answer:

A Complementary Angles

Step-by-step explanation:

PLS DO THIS
NO LINK I WILL REPORT U​

Answers

Answer:

The mode is the number that occurs the most which would be 8.

Step-by-step explanation:

For example

2, 3, 4, 4, 5

The mode would be 4 since it's the most frequent.

Do Whole numbers include negative numbers? Please help, thanks!

Answers

Answer:

negative numbers aren't whole numbers but they are considered to be integers

Answer:Whole numbers don't include negative numbers, fractions, or decimals.

Step-by-step explanation:

depends please comment give more ifnomation on what you are saying if you dont understand

What is the geometric mean of 18 and 49

Answers

Step-by-step explanation:

Geometric mean =√18×49√88229.69

hope it helps.

Answer:

Below

Step-by-step explanation:

√(18*49)

= √882

= 29.70 to nearest hundredth.

6.
The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 45 miles per hour?

A. 80 hours

B. 900 hours

C. about 1.78 hours

D. 2.25 hours

Answers

Answer:

C. about 1.78 hours

Step-by-step explanation:

Answer:

1.78 hours

Step-by-step explanation:

If t varies inversely with the speed, the formula for that is  t= \frac{k}{r} .  If t = 2 and r = 40, then we can solve for k, the constant of variation.  Multiply both sides by 40 to get  k = 80.  Now we need to find the value for t when r = 45.  Using the k value we just solved for, we will fill in the equation as  t= \frac{80}{45}   for a t value of about 1.78 hours

...............................................................................................................................................

Answer: about 1.78 hours

...............................................................................................................................................

t = k/r

2 = k/67

k = 134 (which happens to be the distance)

t = 134/r

t = 134/55

t = 2.436 hours

...............................................................................................................................................

The formula for this is t = k/r, read "t varies inversely as r". If the info they give us is 4 hours and 35 miles per hour, we find that k = 140. Now use that 140 in another equation to solve for t: t = 140/45, and t = 3.1 hours

...............................................................................................................................................

t = k/r\

4 hours and 35 miles per hour,

we find that k = 140.

Now use that 140 in another equation to solve for t:

t = 140/45, and

t = 3.1 hours

HELP MEEEEEEEEEE SOOOOOO EASY PLEASE AND BRANLIEST TOOOOOO (07.04 LC)What is the solution to the equation fraction 1 over 3x = 6?

x = 18
x = 2
x = fraction 1 over 2
x = fraction 1 over 18

Answers

Answer:

x = 2

divide each term by 3 and simplify.

Answer:

I did the quiz and it is B

Step-by-step explanation:

Solve the system of linear equations by substitution.
2-y= 5
x + 3y = 9
The solution is (OO).

Answers

Answer:

x = 13, y = -3

Step-by-step explanation:

U + 3 = 7 step by step explanation

Answers

U + 3 = 7
-3 -3

(7-3=4)

U=4
u = 4
3-3=0
take it to the other side and 7-3=4

pedro tenia 80.000 y gasto el 25% ¿cuanto dinero le queda?

Answers

A Pedro le queda 60,000

P , Q, R and S are four points on a circle

Answers

Answer:

Yes

Step-by-step explanation:

it is because they meet together


solve for n: 3 x n = 2 x 9

Answers

Answer:

n = 6

Step-by-step explanation:

3 x n = 2 x 9

2 x 9 = 18

3 x n = 18

divide by 3 on both sides:

n = 6

hope this helped :)

Type of angle:
Angle measures:

Answers

Answer:

The angle type is acute

Step-by-step explanation:

It's smaller than 90 degrees

What is the slope of a line that goes through (3, -2) and (-2, 5) ?

Answers

Answer:

-7/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-2))/(-2-3)

m=(5+2)/-5

m=7/-5

If x) = 4x2 - 16 were shifted 5 units to the right and 2 down, what would the
new equation be?
O A. h(x) = 4(x - 5)2 + 14
B. h(x) = 4(x + 5)2 - 17
C. h(x) = 4(x-18)2 - 5
D. h(x) = 4(x - 5)2 - 18

Answers

Answer:

D

Step-by-step explanation:

To shift h units to the right, replace x with x - h

To shift h units to the left, replace x with x + h.

To shift k units up, add k to the end of the formula for the function.

To shift k units down, subtract k from the end of the formula.

Example:  [tex]y=x^2[/tex]

[tex]y=(x+2)^2+6[/tex] is [tex]y=x^2[/tex] shifted left 2 units and up 6 units.

Caution: the right/left shifts sometimes look backwards!

Daniel has 5 tiles, numbered 1 to 5, in a box.

* He randomly pulls out a tile and records the number.

* He places the tile bak into the box.

* He then pulls out another tile and records the number.

What is the probability the sum of the numbers on the two tiles is 8?

Group of answer choices

1/5

3/5

1/25

3/25

Answers

Answer:

3/25

Step-by-step explanation:

that's the answer I don't how to explain it

Answer: 1/25

Step-by-step explanation: The theoretical probability for any of the 5 tiles to be drawn is 1/5

1/5 x 1/5= 1/25

Which expression is equivalent to if no denominator equals zero? A. B. C. D.

Answers

Answer:

Answer: C. -r/3

Step-by-step explanation: I got a 100% with that as my answer. I hope it helps.

can someone do #2 pls

Answers

Answer:

its f

Step-by-step explanation:

A bag contains 3 red and 2 blue counters. A counter is picked at
random and then replaced, 40 times. How many red counters do
you expect?​

Answers

Answer:

24.

Step-by-step explanation:

The fraction of red counters in the bag = 3/5.

So you'd expect 3/5 * 40

= 120/5

= 24.

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