The diagram shows the shape of Jane's backyard find the area of Jane's backyard.

Answer:

ASA

Step-by-step explanation:

ASA rule states that: If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Answer:

Step-by-step explanation:

(i)

PQRS is a parallelogram (given)

      ∴ QT = TS (Diagonals of a parallelogram bisects each other)

also,   QT = RM (given)

      ∴TS = RM

PQRS is a parallelogram,

     ∴RT = PT (Diagonals of a parallelogram bisects each other)

also, SM = PT (given)

    ∴RT = SM

TS = RM

RT = SM

∴ RTSM is a parallelogram (both pairs of opposite sides are equal in length)

(ii)

QP // RS (Opposite sides of a parallelogram are parallel)

∴ ∡RQP = ∡NRS (Corresponding ∡s)

RTSM is a parallelogram(Proved above)

∴MS // RT (Opposite sides of a parallelogram are parallel)

∴NS//RP

∴∡RNS = ∡ QRP (Corresponding ∡s)

in ΔPQR and Δ NSR,

QP = RS (Opposite sides of a parallelogram are equal)

∡RQP = ∡NRS (Proved above)

∡RNS = ∡ QRP(Proved above)

∴ ΔPQR≡ΔSRN (AAS)

Corresponding sides of ≡ Δs are equal, ∴QR = RN

The area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².

Area of square is the square of its sides length. It can be given as,

A=a^2

Here, (a) is the length of the side of the square

The legs of the smallest triangle is 1-1 units long. Thus, the area of this triangle is,

[tex]A=\dfrac{1\times1}{2}\\A=\dfrac{1}{2}\rm\; unit^2[/tex]

The area of small squares with side 1 is,

[tex]A=1^2\\A=1 \rm \;unit^2[/tex]

Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of other two legs of the right angle triangle.

The hypotenuse side length of this triangle is,

[tex]h=\sqrt{1^2+1^2}\\h=\sqrt{2}[/tex]

Thus, the area of the square with √2 side is,

[tex]A=\sqrt{2}^2\\A=2\rm\; unit^2[/tex]

Similarly, the area of all the squares and triangle with the different sides can be found out.

Thus, the area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².

Learn more about the area of square here;

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Answer:

1/8

Step-by-step explanation:

Since the flower was replaced, these two drawings are independent events and the final probability is the product of the two individual probabilities.

total number of flowers: 16

yellow: 4

red: 4

blue: 8

p(red) = 4/16 = 1/4

p(blue) = 8/16 = 1/2

p(red then blue) = 1/4 × 1/2 = 1/8

Answer: 1/8

Answer:

B

Step-by-step explanation:

When multiplying exponents with the same base, you add the powers together.

In B, that is exactly what they are showing when they do:

[tex]2^{\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}}[/tex]

Answer:

9

Step-by-step explanation:

Because the y-coordinates are the same but the x-coordinates are different so -6 to 3 would be 9 because -6 to 0 is 6 and 0 to 3 is 3 and 3 + 6 equals 9

Answer:

distance: 9 units

Explanation:

[tex]\sf distance \ between \ points \ : \ \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Here coordinates : (-6, 4), (3, 4)

substitute the following values and put into the equation

[tex]\sf \rightarrow \sqrt{(4-4)^2+(3-(-6))^2}[/tex]

[tex]\sf \rightarrow \sqrt{(3+6)^2}[/tex]

[tex]\sf \rightarrow \sqrt{81}[/tex]

[tex]\sf \rightarrow 9[/tex]

Answer:

V = 54π or V = 169.56 units³

Step-by-step explanation:

The volume of a cylinder is given by the formula:

V = πr²h

If we use 3.14 as pi we get this:

V = (3.14)×(3)²×(6)

V = 3.14×9×6

V = 3.14×54

V = 169.56

Since it is volume the units will be units³

So our final answer is 169.56 units³

If you wanted an exact in pi form you would do the same steps but not simplify pi:

V = πr²h

V = π×(3)²×6

V = π×9×6

V = 54π

Answer:

well if im wrong then sorry but i think its 11 !!

Step-by-step explanation:

The possible length of the third side should be greater than 11.

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°.

Given that the lengths of two sides of a triangle are 4 inches and 7 inches.

We need to find the possible length of the third side,

So, according to the triangle inequality theorem,

For any given triangle, the sum of two sides of a triangle is always greater than the third side.

So, the sum of two sides = 4 + 7 = 11

Hence the possible length of the third side should be greater than 11.

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Answer:

8

Step-by-step explanation:

Im not sure but i think it might be correct.

Answer:

8

Step-by-step explanation:

Answer:

1355.75 m

Step-by-step explanation:

Volume of a rectangle = length x breadth x height

Volume of recatngular swimming pool = 17 x 14.5 x 5.5

volume of rectangular swimming pool = 1355.75 m

 Answer:

The common difference equals:

[tex]-3[/tex]

The sum of the sequence equals:

[tex]62[/tex]

The explicit formula of this sequence is:

[tex]a_n=20+(n-1)*(-3)[/tex]

The recursive formula of this sequence is:

[tex]a_n=a_((n-1))-3[/tex]

The nth terms:

[tex]20,17,14,11,8,5,2...[/tex]

Step-by-step explanation:

An arithmetic sequence, or arithmetic progression, is a set of numbers in which the difference between consecutive terms (terms that come after one another) is constant. This difference is called the common difference.

Find the common difference by subtracting any term in the sequence from the term that comes after it.

[tex]a_2-a_1=17-20=-3\\a_3-a_2=14-17=-3\\a_4-a_3=11-14=-3[/tex]

The difference of the sequence is constant and equals the difference between two consecutive terms.

[tex]d=-3[/tex]

Calculate the sum of the sequence using the sum formula:

Formula

[tex]Sum=\frac{(n(a_1+a_n))}{2}[/tex]

Plug in terms

[tex]Sum=(4*(a_1+a_n))/2[/tex]

[tex]Sum=(4*(20+a_n))/2[/tex]

[tex]Sum=(4*(20+11))/2[/tex]

Simplify the expression

[tex]Sum=(4*(20+11))/2[/tex]

[tex]Sum=(4*31)/2[/tex]

[tex]Sum=124/2[/tex]

[tex]Sum=62[/tex]

The sum of this sequence is [tex]62[/tex].

This series corresponds to the following straight line [tex]y=-3x+20[/tex]

The formula for expressing arithmetic sequences in their explicit form is:

Formula: [tex]a_n=a_1+(n-1)*d[/tex]

Plug in the terms.

[tex]a_1=20[/tex] (this is the 1st term)

[tex]d=-3[/tex] (this is the common difference)

[tex]a_n[/tex]  (this is the nth term)

[tex]n[/tex] (this is the term position)

The explicit form of this arithmetic sequence is:

[tex]a_n=20+(n-1)*(-3)[/tex]

The formula for expressing arithmetic sequences in their recursive form is:

Formula: [tex]a_n=a_((1-n))+d[/tex]

Plug in the d term.

[tex]d=-3[/tex](this is the common difference)

The recursive form of this arithmetic sequence is:

[tex]a_n=a_((n-1))-3[/tex]

[tex]a_1=a_1+(n-1)*d=20+(1-1)*-3=20[/tex]

[tex]a_2=a_1+(n-1)*d=20+(2-1)*-3=17[/tex]

[tex]a_3=a_1+(n-1)*d=20+(3-1)*-3=14[/tex]

[tex]a_4=a_1+(n-1)*d=20+(4-1)*-3=11[/tex]

[tex]a_5=a_1+(n-1)*d=20+(5-1)*-3=8[/tex]

[tex]a_7=a_1+(n-1)*d=20+(7-1)*-3=2[/tex]

Terms and topics:

Answer:

0.0001

Step-by-step explanation:

2 x 10 x 0.0001 equals 0.0002. If you want confirmation do on a calculator

Answer:

10,000

Step-by-step explanation:

you move the decimal point 3 places to the right to end up with 2 so add as many zeros as many times you moved the decimal point from the 0.002.

Answer:

Top right (one what has 16cm^2 and 9cm^2)

Step-by-step explanation:

The one in the top right and even though I cannot see what the area is of the biggest square, I can tell what it should be the two smaller squares combined

Hope this helps :)

Answer:

Edit:

7. Linear because the graph is a straight line with an x and y variable

8. Non-linear because the graph is not a straight line

Sorry for the confusion with my previous answer! I hope this helps!

Answer:

y – 11 = 4 (x-6)

Step-by-step explanation:

ttm

Answer:

184

Step-by-step explanation:

in the number 128 the number eight is right it should be to the right then in the number157 one is right it should be to the left in 841 8and 1 are in the wrong position 8 - right 1 - left then in the number 624 the number 4 is right but in the wrong position it should be in the middle the answer is digit 1,8,4

The 3 secret digit numbers are 4, 7, and 8. Then the combination lock with 3 secret digits is 478.

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

You have a combination lock with 3 secret digits.

362 All digits are wrong then 3, 6, and 2 should not be there.

624 One digit is right but in the wrong place. Then 4 digit is right.

841 Two digits are right but both are in the wrong place. Then the place of 4 should be first.

128 One digit is right and in its place. Then the first place is occupied by 4 so 1 is incorrect. Then the third digit is 8.

157 One digit is right but in the wrong place. Then in the second place, the wrong digit is there then there is 7 in the second place.

The combination lock with 3 secret digits is 478.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

Answer:

already answered

Step-by-step explanation:

go to this

https://brainly.in/question/16866439

Answer:

[B] - 1/3

Step-by-step explanation:

Given:

-8x-5(1-x)=6x-2

Solve:

Expand : -8x - 5(1-x) : -3x -5

-3x - 5 = 6x -2

Add 5 to both sides (Balance)

-3x-5+5=6x-2+5

Simplify

-3x = 6x + 3

subtract 6x to both sides (Balance)

-3x - 6x = 6x +3 -6x

Simplify

-9x = 3

Divide both sides by -9 (Balance)

-9x/-9=3/-9

Simplify

x = -1/3

[RevyBreeze]

Answer:

83.6

Step-by-step explanation:

just use your calculator

Answer:

83.6

Step-by-step explanation:

It's simple, just type it in the calculator and you'll get the answer

Answer:

options c

trapezoid

saw a four sided figure. It had one pair of congruent sides that were not parallel. It also had one pair of parallel lines.

saw a four sided figure. It had one pair of congruent sides that were not parallel. It also had one pair of parallel lines.What shape has Chase described?

Answer:

(B) 70.5

Step-by-step explanation:

During the first second the acceleration is 2, and the distance is 2

During the second second the acceleration is 5, and the distance is 4.5

During the third second the acceleration is 4, and the distance is 9

During the last 5 seconds the acceleration is 0, velocity is 11 and the distance is 55 m

2 + 4.5 + 9 + 55 = 70.5 (B)

Answer:

Step-by-step explanation:[tex]-\frac{9}{x-9}[/tex]

Answer:

-9(1+x)

-------------

(x-7)(x+7)=0

Step-by-step explanation:

We use factorisation of quadrats

The table that shows the distribution of q to r illustrates a direct variation

The proportionality constant from q to r is 1/8

From the table, we have the following points

When q = 48, r = 6

The proportionality constant is then calculated as:

k = r/q

Substitute known values

k = 6/48

Divide

k = 1/8

Hence, the proportionality constant from q to r is 1/8

Read more about proportionality constant at:

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Answer:

They both have polygon bases

Step-by-step explanation:

Hope this helps :)

Answer:graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}

Step-by-step explanation:

y

=

−

19

9

(

x

+

3

)

2

+

5

Explanation:

If an equation representing a parabola is in vertex form such as

y

=

a

(

x

−

k

)

2

+

h

then its vertex will be at

(

k

,

h

)

. Therefore the equation for a parabola with a vertex at (-3, 5), will have the general form

y

=

a

(

x

+

3

)

2

+

5

If this parabola also passes through the point

(

0

,

−

14

)

then we can determine the

a

parameter.

−

14

=

a

(

0

+

3

)

2

+

5

9

a

=

−

19

a

=

−

19

9

So our equation in vertex form is

y

=

−

19

9

(

x

+

3

)

2

+

5

graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}

Answer:

(x-6)^2 + (y+1)^2=40

Step-by-step explanation:

see image. Use Midpoint Formula to find the center. Then use Distance Formula to find the diameter. Cut the diameter in half to find the radius. Use the circle formula to insert (h,k) the center and r, the radius to find the equation. See image.

Answer:  [tex](x - 6)^2 + (y + 1)^2 = 40[/tex]

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

Explanation:

The x coordinates of the given endpoints are x = 8 and x = 4. Apply the midpoint to them to get [tex]\frac{x_1+x_2}{2} = \frac{8+4}{2} = \frac{12}{2} = 6[/tex] which is the x coordinate of the midpoint. I added them up and divided by 2.

Similar steps will have the y coordinate of the midpoint be

[tex]\frac{y_1+y_2}{2} = \frac{-7+5}{2} = \frac{-2}{2} = -1[/tex]

Overall, the midpoint of those given points is (6, -1)

This is the center of the circle because the two endpoints are part of a diameter.

-------------------------------------------------

Now turn to the template

[tex](x - h)^2 + (y -k )^2 = r^2[/tex]

We will plug in the center (h,k) = (6, -1) and one of the endpoints for (x,y). Let's say we go for (x,y) = (4,5)

This leads us to the following:

[tex](x - h)^2 + (y -k )^2 = r^2\\\\(4 - 6)^2 + (5 - (-1) )^2 = r^2\\\\(4 - 6)^2 + (5 + 1 )^2 = r^2\\\\(-2)^2 + (6 )^2 = r^2\\\\4 + 36 = r^2\\\\r^2 = 40\\\\[/tex]

We don't need to isolate r itself. If you wanted, you could take the square root of both sides to see that the radius is [tex]r = \sqrt{40} \approx 6.3246[/tex]. However, again we don't need to solve for r entirely when forming the circle's equation.

With that [tex]r^2[/tex] value in mind, and the h & k values as well, we go from this template

[tex](x - h)^2 + (y -k )^2 = r^2[/tex]

to this final answer

[tex](x - 6)^2 + (y + 1)^2 = 40[/tex]

The cones volume is 207.24cm but the weird thing is when you try to convert the cubes. I got 69.08 cubes but I don't know if that is correct. Have a nice day!

Answer:

Another way of saying line M is to say Line X or Y