Geometry The figures below are squares. Find an expression for the area of each shaded region. Write your answers in standard form.

Using the formula of midpoint of a line, the coordinate of the endpoint k is (-6, 31)

The midpoint of a line is the point that is halfway between the two end points of the line. It can be found by taking the average (mean) of the x-values and the average (mean) of the y-values of the two endpoints.

The formula of midpoint of a line is given as;

M(x, y) = (x₂ + x₁) / 2, (y₂ + y₁) / 2

Since we have the midpoint and one endpoint, we can use the coordinate to find the missing coordinate.

The x - coordinate is calculated as;

-1 = (4 + x₁) / 2

-2  = 4 + x₁

x₁ = -2 - 4

x₁ = -6

The y - coordinates is calculated as;

8 = (-15 + y₁) / 2

16 = -15 + y₁

y₁ = 16 + 15

y₁ = 31

The coordinates of k is (-6, 31)

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Answer:

each box contain 8 x 9 = 72

Answer:

Basically asking you which two numbers multiplied together is 20. Keep in mind this is a triangle so you'll need to divide the product by 2. In this case, it would be C.4 and 10

4 time 10 is 40

40/2 = 20

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

New Method : 81 80 79 81 76

Standard Method Score: 69 68 71 68 73 72

H0 : μn = μa

H0 : μn < μa

New Method :

Using a calculator :

Sample size, n1 = 5

Mean, x1 = 79.40

Standard deviation, s1 = 2.07

Standard Method :

Using a calculator :

Mean, x2 = 70.17

Sample size, n2 = 6

Standard deviation, s2 = 2.14

T = (x1 - x2) / √(s1²/n1 + s2²/n)

(x1 - x1) = (79.40 - 70.17) =79.40 -= 9.23

√(s1²/n1 + s2²/n2) = √(2.07²/5) + 2.14²/6) = 1.2729

T = (x1 - x2) / √(s1²/n1 + s2²/n)

T = 9.23 / 1.2729

Test statistic = 7.25

The Pvalue from Tscore at, smaller n - 1 = 5 - 1 = 4

Pvalue = 0.000961

Decision region :

If Pvalue < α ; Reject H0 ; otherwise fail to reject H0

α = 0.01

Since, Pvalue < α ; We reject H0 ; and conclude that new method is worse rhn the old.

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Answer:

-2 is the answer of your question

hope it is helpful to you

Answer:

Step-by-step explanation:

An explanatory variable is what you manipulate or observe changes in  while a response variable is what changes as a result (e.g., reaction times). The words “explanatory variable” and “response variable” are often interchangeable with other terms used in research.

Answer:

A is 55°

B is 60°

Step-by-step explanation:

A + 125° = 180° (since they're in a straight line, they're a linear pair. Sum of the angles equals 180°)

A = 180° - 125°

A = 55°

A + B + 65° = 180°

A, B and 65° are angles of a triangle, so the sum of these 3 angles equals 180°

A + B + 65° = 180°

Since angle A equals 55°,

55° + B + 65° = 180°

120° + B = 180°

B = 180° - 120°

Angle B equals 60°

Answer:

1100 square inches

Step-by-step explanation:

The faces are all rectangles (area = length x width)

Area of bottom:  20 x 10 = 200

Area of front: 20 x 15 = 300

Area of back (same as front) = 300

Area of right side: 10 x 15 = 150

Area of left side (same as right side) = 150

Total of all the sides: 1100

UV is a segment Bisector.

A segment bisector is a line, ray, or segment that splits another line segment in half evenly at its center. The midpoint of the line segment is always bisected by the line, which divides it into two equally sized parts.

The angle bisector theorem states that a triangle's opposite side is divided into two parts by an angle bisector that is proportional to the triangle's other two sides.

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Answer:

The probability that it will choose food #2 on the second trial after the initial trial = 0.3125

Step-by-step explanation:

Given - A lab animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one trial, it will choose the same food on the next trial with a probability of 50%, and it will choose the other foods on the next trial with equal probabilities of 25%.

To find - If the animal chooses food #1 on an initial trial, what is the probability that it will choose food #2 on the second trial after the initial trial?

Proof -

By the given information, we get the stohastic matrix

[tex]H = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right][/tex]

As we know that,

The matrix is a Markov chain [tex]x_{k+1} = Hx_{k}[/tex]

Let

The initial state vector be

[tex]x_{0} = \left[\begin{array}{ccc}1\\0\\0\end{array}\right][/tex]

we choose this initial vector because given that If the animal chooses food #1 on an initial trial.

Now,

[tex]x_{1} = Hx_{0} \\ = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]\left[\begin{array}{ccc}1\\0\\0\end{array}\right] \\= \left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right][/tex]

∴ we get

[tex]x_{1} = \left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right][/tex]

Now,

[tex]x_{2} = Hx_{1} \\ = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]\left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right] \\= \left[\begin{array}{ccc}0.25+0.0625+0.0625\\0.125+0.125+0.0625\\0.125+0.0625+0.125\end{array}\right]\\= \left[\begin{array}{ccc}0.375\\0.3125\\0.3125\end{array}\right][/tex]

∴ we get

[tex]x_{2} = \left[\begin{array}{ccc}0.375\\0.3125\\0.3125\end{array}\right][/tex]

∴ we get

The probability that it will choose food #2 on the second trial after the initial trial = 0.3125

Answer:

128 + 72 = 200

Step-by-step explanation:

Start from the ones. And go next to tens and last find the hundreds.

see image.

Answer:

No

Step-by-step explanation:

You can tell if something is a function by checking to see if a vertical line will intersect at one spot more than once. If it does, it is not a function.

Answer:

The best estimate would be C. 7 ft

Step-by-step explanation:

This is more of a logical question.  When you think about a door, 7 inches is out.  7 yards would be 21 ft and that is unusually tall for a door, as is 70 feet.

Answer:

[tex]w=\frac{s-2lh}{2(h+l)}[/tex]

Step-by-step explanation:

Given the equation, [tex]S=2(lw+lh+wh)[/tex], solve for w.

[tex]S=2(lw+lh+wh)[/tex], distribute the 2.

=> [tex]S=2lw+2lh+2wh[/tex], subtract [tex]2lh[/tex] from both sides.

=> [tex]S-2lh=2lw+2wh[/tex], factor out a [tex]w[/tex] from the right-hand-side.

=> [tex]S-2lh=w(2l+2h)[/tex], now divide [tex](2l+2h)[/tex] from each side.

=>[tex]\frac{S-2lh}{2l+2h}=w[/tex]

Final answer: [tex]w=\frac{s-2lh}{2(h+l)}[/tex]

Answer:

They are in A. P so the sum will be 2380

Answer: 20 sq units

Step-by-step explanation:

A quick sketch graph will show the right angle is at (-3 ,4)

The lengths of the shorter sides are both sqrt(2^2 + 6^2) = sqrt(40)

Area = 1/2 x (sqrt(40))^2 = 20

If you didn’t have a right angle you could find the lengths of all sides a, b and c

Calculate the semi perimeter s = (a+b+c) / 2

And the area = sqrt(s(s-a)(s-b)(s-c))

Try and use this method to check the first one!

Answer:

C)

Step-by-step explanation:

5 x 3 = 15

15 + 6 = 21

Your answear is C

Answer:

C,D, and F should be the correct answers.

Step-by-step explanation:

C. 5(3)= 15+6=21

D. 7(3)= 21-2=19

F. 5(3)=15

Answer:

800 hrs = 33.3 days

Step-by-step explanation:

1 day = 24 hours

800 hours = 800/24 = 33.33

Round to the nearest tenth:

33.3 days

Answer:

At 8:45

He was at 90

He then went 20 kilo meters.

So,your final answer is 20 kilometers.

Step-by-step explanation:

INTREST-300000

Step-by-step explanation:

36000000

Using the conversion between metric and U.S systems the value of 0.828oz is 2347.34 cg.

A system of measurements is called the metric system. It is employed in calculations and research across the globe. Some examples of metric system are distance in lengths, weights in grams, volume in milliliters and much more.

The conversion between ounces (oz) into centigram (cg) is given as follows:

1 oz = 2834.95

To convert 0.828 oz into centigram we need to multiply the value 0.828 oz with 2834.95 as follows:

(0.828) (2834.95)

2347.35

Hence the value of 0.828 oz is 2347.34 cg according to the conversion from metric to US system.

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Answer:

There are 5 people working and each person works 8 hours per day, so there are a total of 58 = <<58=40>>40 hours of work per day.

Over the course of the week, the total number of hours worked is 405 = <<405=200>>200 hours.

The total number of toys assembled is 400 and the total number of hours worked is 200, so the average number of toys assembled per hour per person is 400/200 = <<400/200=2>>2 toys per hour per person.      Answer:{2}.

Step-by-step explanation:

Answer:

22.38 mph

Step-by-step explanation:

6km=3.73 miles

3.73m in 10 min

10*6 =60 minutes = 1 hour

3.73*6 = 22.38

22.38 miles per hour

Answer:

x= 4

m∠KJL= 22

M∠KJM= 44

Step-by-step explanation:

i dont think u need explanation

Answer:

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

The height h of the tree is opposite to 49° angle of a right triangle with the other leg:

Use tangent to find the value of h:

The height of the tree is 40 feet to the nearest foot.

How can the height of the tree be found?

It can be found using similar triangles.

Let's call the height of the tree "x".

Since the angle of elevation to the sun is 49°, we have two similar triangles:

Triangle 1: Sun - Naomi - Ground (illustration attached)

Triangle 2: Sun - Tree - Ground

The height of Naomi, 5 feet, is one of the corresponding sides in the two triangles, and the height of the tree, x feet, is the other. We know the ratio of their heights is 8:1, so:

x ÷ 5 = 8

Solving for x, we find that:

x = 40

So the height of the tree is 40 feet to the nearest foot.

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Answer: 15a – 12b – 5.

Step-by-step explanation: To solve this equation, we need to distribute the constants in front of the parentheses. Doing so, we get:

-3 + 4(a – 3b + 2) – 5(2 – a + 3b)

= -3 + 4a – 12b + 8 – 10 + 15a – 15b

= (15a – 12b) + (-10 + 8) – 3

= 15a – 12b + -2 – 3

= 15a – 12b – 5

Thus, the solution to the equation is 15a – 12b – 5.

Answer:

58.61%

Step-by-step explanation:

Your total backyard is 18ft * 9ft = 162 ft^2

Your patio is 5ft * 8ft = 40 ft^2

Your Garden is 4ft * 7ft = 28 ft^2

Your walkway is 3ft * 9ft = 27 ft^2

Add all those areas together you have 95 ft^2

95 of 162 = 58.61%

Step-by-step explanation:

1

We can see that RS divides ∆PQS into two equal parts

So,

PR = RQ

Therefore

RQ = 5.1

Now

PQ = PR + RQ

=> PQ = 5.1 + 5.1

=> PQ = 10.2

2

Here

KM is the angle bisector

So

JM = ML

JM = 46