The quadrilateral ABCD is a rhombus with diagonals AC = 12 ft and BD = 4 ft. The points M and N divide diagonal AC on three equal parts. Prove that BMDN is a square and find its area.

Answers

Answer 1

Answer:

area of BMDN 8 ft²

Step-by-step explanation:

In BMDN the diagonals are BD and MN.

MN is 12/3 = 4 ft long, and BD = 4 ft.

A rhombus with equal diagonals is a square, so BMDN is a square.

In the right triangle BDN, the diagonal BD is the hypotenuse, then:

DN² + NB² = BD²

but DN = NB, then:

2*DN² = 16 ft²

DN² = 8 ft²

The area of BMDN is computed as one of its sides squared. Then, DN² is its area


Related Questions

Find the hypotenuse of each Isosceles right triangle when the legs are of the given measure.
Given = 6squareroot2

Answers

Answer:

12

Step-by-step explanation:

We can use the pythagorean theorem giving us:

a^2+b^2=c^2

(6sqr2)^2 + (6sqr2)^2 = c^2

72+72=c^2

144=c^2

12=c

Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of paper for each hat.

Answers

Answer:

I dont know

Step-by-step explanation:

I dont know sorry

Answer:

70

Step-by-step explanation:

please help i don't get it

Answers

the perimeter is just all the lines around the outside of the shape so basically take all the numbers and add them together to get the answer

Answer:

97 cm

Step-by-step explanation:

The perimeter of a shape is the length of the whole shape so the perimeter of this shape would be

3 + 10 + 3 + 33 + 33 + 15 = 97 cm

Stan guessed on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he got at least 2 questions correct? Round the answer to the nearest thousandth.

P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction
0.211
0.244
0.756
0.944

Answers

Answer:

The answer is C.) 0.756

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just did the test on edge 2020

Which statement is the correct solution?

Answers

I believe what answer you have put is correct

The answer you chose is correct

Can you Graph y= 2/3x -4, please

Answers

Quite a vague question, I used desmos to graph the attached photo.

please help me with this it is the last quastion i need help with

Answers

Answer:

$92.92

Step-by-step explanation:

$72.60 * 20% = 14.53

$72.60 + 8%= $78.40

$78.40 + $14.52 = $92.93

She paid $87.12 for the service.
20% of 72.60 (or 72.60 x .20) is 14.52.
72.60 + 14.52 = 87.12

A cylinder has a height of 19 inches and a radius of 18 inches. What is its volu
3.14 and round your answer to the nearest hundredth.

Answers

Answer:

19339.64 in³

Step-by-step explanation:

Volume of a cylinder: V = π · r² · h

V = π · 18² · 19

V = π · 6156

V = 19339.64 cubic inches

A family has 4 children: Ariel, Bob, Chris, and Diana. Assuming that all birth orders are equally likely.
Find the probability that Ariel is older than Diana.
Find the probability that Ariel is older than Diana, if it is given that Ariel is older than Bob.
Find the probability that Ariel is older than Diana, if it is given that Chris is older than Diana.
Find the probability that Ariel is older than Diana, if it is given that Diana is older than Bob.

Answers

Answer:

A) 0.5

B) 0.375

C) 0.375

D) 0.167

Step-by-step explanation:

Let's call

a: Ariel

b: Bob

c: Chris

d: Diana

There are 4*3*2*1 = 24 total combinations to order the 4 children

A) Ariel is older than Diana in the following 12 cases:

a b c d

a b d c

a c b d

a c d b

a d b c

a d c b

b a c d

b a d c

b c a d

c a b d

c a d b

c b a d

Then, the probability is 12/24 = 0.5

B) The condition "Ariel is older than Diana, if it is given that Ariel is older than Bob" is satisfied in the six first cases and last three cases of before.

Then, the probability is 9/24 = 0.375

C) Ariel is older than Diana, if it is given that Chris is older than Diana, in the following cases:

a b c d

a c b d

a c d b

a d c b

b a c d

b c a d

c a b d

c a d b

c b a d

Then, the probability is 9/24 = 0.375

D) Ariel is older than Diana, if it is given that Diana is older than Bob, in the following cases:

a c d b

a d b c

a d c b

c a d b

Then, the probability is 4/24 = 0.167

Answer:

jesus

Step-by-step explanation:

brainliest & points!
i need help with math asap, show work too if possible :)

Answers

Answer:

I think the answer is x is 16 and y is 20? I could be wrong tho

Step-by-step explanation:

First, subtract -7 from -1 to get 8.

Then, add the 12 and you get 16 for x.

First, subtract 7y from 9x to get 2y

Then, add 4 to get 20 for y.

Elias writes the numbers 1 through 20 on separate slips of paper. There are 16 white slips of paper and four yellow slips of paper. There are eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips. Are the events "odd” and "yellow” independent?




Answers

Answer:

odd

Step-by-step explanation:

Answer:

yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellowStep-by-step explanation:

EDGEEE 2022

Identify the vertex of the function graphed below.


A.
(1,2)
B.
(2,-1)
C.
(3,-2)
D.
(0,7)

Answers

Answer: (3, -2)

Step-by-step explanation:

The vertex is the highest or lowest point of a parabola, and I found it. Hope this helps :)

Answer: C.) 3,-2

Step-by-step explanation: The vertex is where the point or the curve of the vertex meets another point, wheras on this graph -2 and 3 are symmetrical and meet up on the graph.

What is the inverse function of f(x) = z/z-2​

Answers

Answer:

f^-1(z) = 2z/z-1

Answer:

Step-by-step explanation:

The function declaration

f

(

x

)

f

(

x

)

varies according to

x

x

, but the input function

z

2

z

2

only contains the variable

z

z

. Assume

f

(

z

)

=

z

2

f

(

z

)

=

z

2

.

f

(

z

)

=

z

2

f

(

z

)

=

z

2

Which phrase represents this expression?

(47−17)×4


A. 4 times the difference of 47 and 17

B. 4 times the difference of 17 and 47

C. the difference of the product of 4 times 17 and 47

D. the difference of 47 and the product of 4 times 17

Answers

A. 4 times the difference of 47 and 17

-7 2/3+(-5 1/2) +8 3/4​ sorry I'm to stupid to figure this out

Answers

A positive and a negative become a negative. First you convery the mixed fraction into an improper fraction, then you find the common denominator of all fractions, next step according to PEMDAS, you can add and subtract in any order you would like too.

1. -7 2/3 - 5 1/2 + 8 3/4

2. -23/3 - 11/2 + 35/4

3. -92/12 - 66/12 + 105/12 The common denominator is 12.

4. -92/12 - 66/12 = -158/12 A negative and a negative is addition but just add the negative sign.

5. -158/12 + 105/12 = -53/12 =

Answer= -4 5/12

This is my way of doing it but according to PEMDAS any other order of doing it is fine also!

Brett is comparing the graphs of y = 2X and y = 5x. Which statement is true?

Answers

The correct question is:

Brett is comparing the graphs of y = 2^x and y = 5^x. Which statement is true?

(1) The y-intercept of y = 2^x is (0,2), and the y-intercept of y = 5^x

is (0,5). [

(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper.

(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper.

(4) Neither graph has a y-intercept.

Answer:

(2) and (3) are true.

Step-by-step explanation:

The correct options are:

(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper. Since X < 0

(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper. Since X > 0

Please help ASAP will mark brainliest

Answers

Answer:

-3y^2-7y+6

Step-by-step explanation:

We can use foil to solve this equation:

(-3y+2)(y+3)=

(-3y*y)+(-3y*3)+(2*y)+(2*3) (symplify)=

-3y^2-9y+2y+6

Which equals to -3y^2-7y+6

We can use FOIL to solve.

(-3y + 2)(y + 3)

(-3y * y) + (-3y * 3) + (2 * y) + (2 * 3)

-3y^2 + -9y + 2y + 6

-3y^2 + -7y + 6

-3y^2 - 7y + 6

The answer is A

Best of Luck!


On a distant planet, a 20º central angle intercepts an arc of 4067 miles. What is the radius of the planet at its equator?
The radius of the planet is
miles. (Simplify your answer.)​

Answers

Answer: 11,682.4 miles

Step-by-step explanation:

We can think the planet as a circle:

if we have a circle of radius R, and an arc of A degrees in the circle, the lenght of the arc is:

L = (A/180°)*3.14*R

Here we know that:

L = 4076 miles

A = 20°

Then:

4076mi = (20/180)*3.14*R = 0.3489*R

R = 4076mi/0.3489 = 11,682.4 miles

The triangle shown below has an area of
40
4040 units
2
2
squared.
Find the missing side.

Answers

Answer:

x = 10 units

Step-by-step explanation:

The formula for the area of a triangle of base x and height h is A = (1/2)(x)(h).

Here A = (1/2)(x)(8) = 40, so 8x = 80 and x = 10 units

If we look at this triangle we can see the straight line (the height). We want to use the height to figure out the side? Well divide 40 with the height (8). And now you get 5(cause 5*8 is 40. duh)

write the equation of circle b with center B(-2,3) that passes through (1,2)

Answers

Answer:

[tex](x+2)^2 + (y-3)^2 = 10[/tex]

Step-by-step explanation:

The standard equation for circle is

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

[tex](x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)[/tex]

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 )  in equation 1 we have

[tex]\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\[/tex]

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is [tex]=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10[/tex]

find the missing letter which is N.the length is 25 in and the perimeter is 86 in

Answers

Answer:

Step-by-step explanation:

length = 25 in

Perimeter = 86 in

2*(length + width) = 86

2*(25 + N) = 86

Divide both sides by 2

25 + N = 86/2

25 + N = 43

Subtract 25 from both sides

25 + N - 25 = 43 - 25

N = 18

Multiply (x - 2)(3x + 4) using the distributive property. Select the answer
choice showing the correct distribution.​

Answers

Answer:

(x-2)(3x)+(x-2)(4)

When distributing you just break up the second parentheses and put the first parentheses infront of both of them, as it is shown in this answer.

A store bought 30 cases of notebooks for a back-to-school sale. Each case has 36 notebooks. How many total notebooks did the store have for the sale

Answers

Answer:

1080 notebooks

Step-by-step explanation:

30×36 You can simplify this...

3*36=108

108×10=1080

There was 1080 notebooks for the sale.

Can you help me please

Answers

Answer:

372.6

3Step-by-step explanation:

Given: m∠ABC = 50°,
AC = 30
Find: OA

Answers

Answer:

OA = 19.58

Step-by-step explanation:

If we draw the segments OA and OC, we will have an isosceles triangle OAC.

With the property of inscribed angles and central angles that are related to the same arc of the circunference, we have:

mAOC = 2 * mABC

mAOC = 2 * 50 = 100°

As the triangle OAC is isosceles, we have that mOAC = mACO.

Knowing that the sum of internal angles of a triangle is 180°, we have:

mACO + mOAC + 100 = 180

2 * mACO  = 80

mACO = 40°

Now, using the law of sines, we have:

OA / sin(ACO) = AC / sin(AOC)

OA / 0.6428 = 30 / 0.9848

OA = 30.463 * 0.6428 = 19.58

Davi has 75 flower seeds. He wants to plant the seeds in pots so that every seed is planted, and every pot has
the same number of seeds.

Answers

15 pots

Step by step explanation

....

We can have the following cases:

5 pots and each pot has 15 seeds.

3 pots and each pot has 25 seeds.

15 pots and each pot has 5 seeds.

What are factors of a number?

Factors are the numbers that divides another number with no remainder.

Given,

Davi has 75 flower seeds.
Every seed is planted.

Every pot has the same number of seeds.

Find the number of pots.

We have,

Total seeds = 75

Since every seed must be planted we can have the following cases.

Case1 - 5 x 15

Here there are 5 pots and each pot has 15 seeds

Case2 - 3 x 25

Here there are 3 pots and each pot has 25 seeds.

Case3 - 15 x 5

Here there are 15 pots and each pot has 5 seeds.

Thus we can have the following answer:

5 pots and each pot has 15 seeds.

3 pots and each pot has 25 seeds.

15 pots and each pot has 5 seeds.

Learn more about finding the number of seeds planted in each pot here:

https://brainly.com/question/5174883

#SPJ2

obtuse

scalene

right

isosceles

Answers

Answer: It is an isosceles triangle. It will have two equal sides.

Step-by-step explanation:

Answer:

isosceles

Step-by-step explanation:

two of the sides are equal

Montel needs to determine the distance from -3 to zero. Which statement best desribes the process Montel should use?

F. Find the absolute value of negative three.

G. Find the opposite of positive three.

H. Find the absolute vaule of positive three.

J. Find the opposite of negative three.​

Answers

Answer:

F

Step-by-step explanation:

Absolute value finds the distance between a number and 0, which is what the question is asking for -- the distance between -3 and 0.

Take 2 y2 - 3 y - 5 from y3 - 6 y2 + 5 y . Select the correct answer.

A) y3 - 2 y2 + 3 y + 5
B) y3 - 4 y2 + 2 y - 5
C) y3 - 4 y2 + 2 y + 5
D) y3 - 8 y2 + 8 y + 5

Answers

Answer:

b

Step-by-step explanation:

Hope this helpsss :)

Answer:

your answer will be: B. y3 - 4 y2 + 2 y - 5

Step-by-step explanation:

What must be the length of XY if triangle ABC is
similar to triangle XYZ?

a. 8
b. 10
c. 12.8
d. 20

Answers

Answer:

x=12.8

Step-by-step explanation:

xy / 8 = 16 /10

xy = (8 * 16) / 10

xy = 12.8

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