AB = AD
Show that ABCD is a kite.
Give a reason for each stage of your working.

Answer:

x=21

Step-by-step explanation:

x/x+14=9/15

15x=9x+126

6x=126

x=21

Answer:

8mph

Step-by-step explanation:

Distance= 1/3 mile

time= 1/24 hour

Speed= distance/time

speed = 1/3 divided by 1/24

           = 8mph

Answer:

8 im pretty sure

Step-by-step explanation:

Answer:

1.41

Step-by-step explanation:

Answer:

Step-by-step explanation:

731² - 631² is the difference of squares.

731² - 631² = (731+631)(731-631) = 1362×100

therefore, 731² - 631² is divisible by 100

Answer:

I got you

Step-by-step explanation:

A

Answer:

A. 1.8x – 10 = -4x = 10/3

Step-by-step explanation:

I did the assignment

Answer:

number is 500 hope this helps

Answer:

42%of n=210

42/100 ×n=210

n=21000/42=500

Answer:

4

Step-by-step explanation:

subtract negative 4 by negative 8

Answer:

b. 12.8

Step-by-step explanation:

napag aralan po namin yan boss

Answer:

red +blue marbles :- 15 +13=28 marbles.

yellow marbles:- 50+28=22 marbles.

probability of yellow marble :- 22/50 i.e 11/25

Answer:

Number of adult were on the trip = 4

Number of child were on the trip = 7

Step-by-step explanation:

Let the Number of adult were on the trip = x

Let the Number of child were on the trip = y

As given,

For lunch they paid $7.50 for each adult meal and $5 for each child meal for a total of $65.

⇒7.50x + 5y = 65            ...........(1)

Also,

For dinner the family paid $10.50 for each adult meal and $5 for each child meal for a total of $77.

⇒10.50x + 5y = 77            ...........(2)

Now,

Subtract equation (2) from equation (1) , we get

10.50x + 5y  - ( 7.50x + 5y ) = 77 - 65

⇒10.50x + 5y  - 7.50x - 5y  = 12

⇒10.50x - 7.50x  = 12

⇒3x = 12

⇒x = [tex]\frac{12}{3}[/tex] = 4

⇒x = 4

Now,

Put the value of x in equation (2) , we get

10.50(4) + 5y = 77

⇒42 + 5y = 77

⇒5y = 77 - 42

⇒5y = 35

⇒y = [tex]\frac{35}{5}[/tex] = 7

⇒y = 7

∴ we get

Number of adult were on the trip = x = 4

Number of child were on the trip = y = 7

Answer:

true

Step-by-step explanation:

Answer:

5220

Step-by-step explanation:

A=580, A=LW, W=L-9

580=L(L-9)

L^2-9L-580=0

(L-29)(L+20)=0, L>0 so L=29, W=29-9=20

Answer:

Around 8 days

Step-by-step explanation:

Divide 325 from 2,563

2563 / 325 = 7.888

Round that number

Answer:

Option D

Step-by-step explanation:

The graph of G(x) is the graph of F(x) shifted 9 units to the left.​​

The positive 9 in the parenthesis let's us know that the transformation should be 9 units to the left.

Answer:

64feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

if Pierre moves 1 mile in 18 minutes

1 miles..............................18 minutes

? miles...............................30 minutes

the number of miles=30/18=10/6=1.66 miles

Answer:

It's a rectangular prism :)

Step-by-step explanation:

Well I automatically know this because,

it can't be a triangle since the left and right corners aren't angled with 3 sides like a triangle

It can't be a square pyramid because that would mean it is the shape of a triangle when folded with a square base

It can't be a cube because cubes have sides equal in length, while this shape when folded is long in length and short in width

So the answer is a rectangular prism! Rectangles have long lengths and short widths and if this shape is folded from 2D to 3D that makes it a prism.

Hope this helps! Have a meowgical day :)))

Rectangular prism shape can be created by the given net.

A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices.

A square pyramid is a three-dimensional geometric shape that has a square base and four triangular sides that are joined at a vertex. It is a polyhedron (pentahedron) with five faces. A square pyramid consists of a square base and four triangles connected to a vertex. Its base is a square and the side faces are triangles with a common vertex.

A cube is a 3D solid object with six square faces and all the sides of a cube are of the same length. It is also known as a regular hexahedron and is one of the five platonic solids. The shape consists of six square faces, eight vertices, and twelve edges. The length, breadth, and height are of the same measurement in a cube since the 3D figure is a square that has all sides of the same length

A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.

A rectangular prism has 6 faces, 12 edges (sides) and 8 vertices (corners). In the 12 edges, 3 edges intersect to form right angles at each vertex.

According to the question

We can observe that the net consists of 6 faces, out of which there are 3 pairs of identical opposite faces.

A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.

We can say that the given net is of rectangular prism.

Option D is correct.

Thus, rectangular prism shape can be created by the given net.

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Answer:

[tex]V= 4\pi (9h^2 -12h + 4)[/tex]

Step-by-step explanation:

Given

Shape: Cylinder

[tex]Radius = 3h - 2[/tex]

[tex]Height = h[/tex]

[tex]Base\ Area = \pi (3h - 2)^2[/tex]

Required

Simplify the volume

The volume is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

Substitute values for Base Area and Height

[tex]V= \pi(3h-2)^2*h[/tex]

Expand the bracket

[tex]V= \pi(3h-2)(3h-2)*h[/tex]

Open brackets

[tex]V= \pi (9h^2 -6h - 6h + 4) *h[/tex]

[tex]V= \pi (9h^2 -12h + 4) *h[/tex]

[tex]V= 4\pi (9h^2 -12h + 4)[/tex]

Answer:

Step-by-step explanation:

x+y = 8

y = 8-x

xy = 17

x(8-x)  = 17

8x - x² = 17

x² - 8x + 17 = 0

Quadratic formula

x = [8 ± √(8² – 4·1·17)] / [2·1]

 = [8 ± √(-4)] / 2

 = [8 ± 2i] /2

 = 4±i

x = 4+i

y = 4-i

A quadratic equation is written in the form of ax²+bx+c. The two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Let the first number be 'a' and the second number be 'b'. Therefore, the sum of the two numbers is,

a+b=8

The product of the two numbers is,

ab=17

b=17/a

now, the equation can be written as,

a+b=8

a+(17/a)=8

a² + 17 = 8a

a²-8a+17=0

a = 4±i

Hence, the two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

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Answer:

1)  a = (2h-84t) / t²

2) L = (P-2W) / 2

Step-by-step explanation:

Formula #1:

step 1: subtract 42t

1/2at² = h - 42t

step 2: multiply by 2

at² = 2h - 84t

step 3: divide by t²

a = (2h - 84t) / t²

Formula #2:

step 1: subtract 2W

P - 2W = 2L

step 2: divide by 2

L = (P-2W) / 2

Answer:

D. 72°

Step-by-step explanation:

Given

Adjacent = 5feet

Hypotenuse = 16feet

Using SOH CAH TOA

cos theta = adj/hyp

cos theta = 5/16

cos theta = 0.3125

theta = arccos 0.3125

theta = 71.7

theta = 72 degrees

Answer:

B) 27,500

Looks like the decimal points in your question are a typo and should be commas... ;) If so, the answer is B

9,18,27,36,45

Step-by-step explanation:

Answer:

A. 13 units is the answer

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Answer:

13 Units

Step-by-step explanation:

Answer:

The answer is B) g(x) is shift 5 units to the right and 2 units up from f(x).

Step-by-step explanation:

The equation that is given in this item can be written for clarity as follows:

                       g(x) = 1/(x - 5)  + 2

It can be seen that the x-component is subtracted with 5 and the g(x) which would lie in the y-axis is added with two. This suggests that the graph of this equation is shifted to the right by 5 units and upwards by 2 units compared to the graph of the parent function.

The Graph for both function is attached below.

A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.

Given:

g(x) = - 1/x

and, f(x) = 1/x

The Graph shown below.

From the Graph we can see that the graph of g(x)= -1/x and f(x)= 1/x

shows the same graph but the position is changed in opposite of each other.

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Answer:

= 4(1+sin2theta)²

Step-by-step explanation:

Given the equations

tantheta -cottheta =a... 1

costheta +sintheta =b .... 2

We are to find 4b^2(2-b^2)​

Squaring both sides of equation 2

(costheta +sintheta)^2 = b^2

cos^2theta + 2costheta sintheta + sin^2 theta = b^2

(cos^2theta+ sin^2 theta) + 2costheta sintheta = b^2

1 + 2costheta sintheta = b^2

1 + sin2theta = b^2

substitute

4b^2(2-b^2)​

= 4(1+sin2theta)(2-1+sin2theta)

4(1+sin2theta)(1+sin2theta)

= 4(1+sin2theta)²

Answer: 60

Step-by-step explanation:

Use proportions

Answer:

C.) 60

Step-by-step explanation:

435/12 = 60

12 x 5 = 60

Answer:

234

Step-by-step explanation:

Answer:

234

!

Step-by-step explanation: