Please help urgent!
Ex 3: Quadrilateral ABCD is a parallelogram.
a) m/BAC = 54°,
find m/DCA =
D
D
A
c) m/DCB = 142° & m/DCA =
37⁰,
find m/BAC=
D
A
E
A
E
7
C
e) AE = 14 cm & DE = 18 cm,
find EB =
E
B
?
C
B
B
find m/DAB =
D
D
d) m/ABC = 73° &
m/DBA = 31°,
find m/DBC =
b) m≤ADC = 78°,
D
A
A
A
E
O
E
f) EC = 10 cm & EB = 15 cm,
find AC =
E
C
B
OB
C
B

Answer:

A. 5, 1/2

Midpoint formula: (x1+x2)/2, (y1+y2)/2

5 + 5 / 2 = 5

4 + -3 / 2 = 0.5

therefore it is

(5, 1/2)

Answer:

cool cool

Step-by-step explanation:

cool

The height of the prism is 4.93 meter with a square base and having a volume of 10 m³

Volume is the amount of space occupied by a three dimensional shape or object. Examples of shape with volume are cone, cube, cuboid, pyramid, prism and so on.

The volume of a pyramid = (1/3) * base area * height

Let base = b

height = 2 * base = 2b

Since volume is 10 m³, hence:

10 = (1/3) * b * b * 2b

b = 2.47 m, h = 2(2.47) = 4.93 m

The height of the prism is 4.93 meter with a square base and having a volume of 10 m³

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The time when they will both have written the same number of problems is 2.5 hours.

The problems they would have written is 25.

The first step is to formulate an equation that represents the number of problems that Ms. B and Ms. D can write in an hour.

Problems Ms. B can write in an hour = 10 + 6h

Problems Ms. D can write in an hour = 10h

Where h represents the number of hours

When Ms. B and Ms. D have written the same number of problems, the two above equations would be equal:

10 + 6h = 10h

In order to determine the value of h, take the following steps:

Combine similar terms : 10 = 10h - 6h

Add similar terms: 10 = 4h

Divide both sides by 4 : 10 / 4

h = 2.5 hours

The number of problems they would have written in 2.5 hours : 10 x 2.5 = 25 problems

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Answer:

V ≈ 2,048 ft^3

Hope this helps :)

Step-by-step explanation:

The symbol ^ means raised to a power.

Formula for Volume of Sphere - V = 4/3 π r^3

1. To find the volume of a sphere, first find the radius with the given diameter 16.

16 ÷ 2 = 8

Radius = 8

2. Substitute r for 8 and solve, and 3 will be used for π.

V ≈ 4/3 • 3 • 8^3

V ≈ 4/3 • 3 • 512

V ≈ 4/3 • 1536

V ≈ 6144/3

V ≈ 2,048

Answer: A & D

Step-by-step explanation:

A & D both are correct

Answer:

15

Step-by-step explanation:

The plane is 180 degrees, all you need to do is subtract 60 then divide the answer by 8.

(180-60)/8=15

This is 7th grade math bro

Answer:

she has 2 sisters; lucy simon and joanna simon

Step-by-step explanation:

Answer:

x<212

Step-by-step explanation:

Because < means that x is less than 212

Answer:

Step-by-step explanation:

If the problem is (-7)^2 then you multiply -7 *-7

If the problem is -(7) ^2 then you multiply -1*7*7

Answer: FALL OUT OF THE TREE

The area of a triangle with the given set of vertices is 12 square units, which is obtained using the concepts of coordinate geometry and the area of triangles.

What is the area of a triangle?

The area of a triangle is defined as the total region bounded by the three sides of a triangle. For a right-angled triangle, the area is given by ½ * (base * height).

Calculation of the area of the given triangle

Given:

P(7,6), Q(1,6), R(4,2) be the three vertices of a triangle PQR

Let PQ be the base parallel to the x-axis

b = 7 - 1 = 6

And altitude is the difference of y coordinates of the point Q and R, h = 6 - 2 = 4

The area of triangle PQR is equal to half the product of base and height

Area = (6 × 4) / 2

        = 24 / 2

        = 12 square units

Hence, the area of the triangle with given vertices is 12 square units.

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Using a linear function, it is found that:

1. The company would charge $1,500 for 20 hours of labor and $3,000 for 50 hours of labor.

2. The graph is given at the end of the answer.

3. The slope of 50 means that the cost of each additional hour of labor is of $50.

A linear function is modeled by:

y = mx + b

In which:

For this problem, we have that:

Hence the charge for x hours of labor is given by the following function:

C(x) = 50x + 500.

Then:

The company would charge $1,500 for 20 hours of labor and $3,000 for 50 hours of labor.

The slope of 50 means that the cost of each additional hour of labor is of $50.

The graph with the two points from item a labeled is given at the end of the answer.

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The probability of an event of P(A∪B) is 49/128.

In this question,

Patricia will flip the coin 8 times.

The sample space is the flipping of a coin 8 times.

⇒ n(s) = 2⁸

⇒ n(s) = 256

Let A be the event that exactly 4 of the 8 flips are heads

⇒ n(A) = [tex]8C_4[/tex]                 [∵ [tex]nC_r=\frac{n!}{r!(n-r!)}[/tex]]

⇒ [tex]\frac{8!}{4!4!}[/tex] = 70

Then, P(a) = [tex]\frac{n(a)}{n(s)}[/tex]

⇒ [tex]\frac{70}{256}[/tex]

Let B be the event that the last two flips are tails

⇒ n(B) = [tex]8C_2[/tex]

⇒ [tex]\frac{8!}{2!6!}[/tex] = 28

Then, P(a) = [tex]\frac{n(b)}{n(s)}[/tex]

⇒ [tex]\frac{28}{256}[/tex]

Now, P(A∪B) = P(A) + P(B)

⇒ P(A∪B) = [tex]\frac{70}{256} + \frac{28}{256}[/tex]

⇒ P(A∪B) = [tex]\frac{70+28}{256}[/tex]

⇒ P(A∪B) = [tex]\frac{98}{256}[/tex]

⇒ P(A∪B) = [tex]\frac{49}{128}[/tex]

Hence we can conclude that the probability of an event of P(A∪B) is 49/128.

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Answer:

21 cm square

Step-by-step explanation:

Base x Height = Area

Area = 3 x 7 = 21 cm square.

Answer:

Volume = 4  πr3 3=  4 ×π×43 3

=  268.08257310633 feet3

Step-by-step explanation: I really hope this helps please let me know if i am wrong hope u have a good day (:

Step-by-step explanation:

What's 11,000lb in tons

it 5.5 us tone

Answer:

Step-by-step explanation:

Take average speed to be (40+50)/ 2 = 45 mph.

Then estimate of distance travelled

= 45 * 3.5

= 160  miles.

Answer: you didn't give me any numbers, so I can't give you an answer. But, I can help!

The slope intercept form is Y=mx+b

X and Y are your coordinates

m is the slope

b is the y-intercept.

As long as you know two of those, you can solve for the missing variable.

I hope this helps!!!

Step-by-step explanation:

these are the answers. ignore the scribbles :)

Step-by-step explanation:

g(2)=((2)²-2-12)/((2)²-4(2)+4)

=4-2-12/4-8+4

=-10/0=undefined

Answer:

3÷4= 0.75 then,

1/2=0.5

Step-by-step explanation:

Hope it was helpful.

Final answer:

The standard deviation from the method A is 2.87

The standard deviation from the method B is 1.35

The standard deviation from the method C is 0.42

The standard deviation from the method D is 0.75

The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean.

The statistical concept of standard deviation is used to quantify the variability or dispersion around an average. It is a measure of volatility technically. The discrepancy between the actual and average value is known as the dispersion. The standard deviation increases as the variability or dispersion increases.

A low standard deviation indicates that the data are tightly grouped around the mean, while a high standard deviation indicates that the data are widely dispersed (less dependable) (more reliable)

Explanation:

The highest standard deviation is found in procedure A. Given that it is not based on any actual measurements and is subject to wildly different subjective judgment, one would anticipate that it would be the largest.

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The number of different possible outcomes is 24

The given parameters are:

Fair die = 6 sides

Spinner = 4 sections

The number of different possible outcomes is calculated using

Outcomes = Fair die * Spinner

This gives

Outcomes = 6 * 4

Evaluate

Outcomes = 24

Hence, the number of different possible outcomes is 24

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Answer:11/24

Step-by-step explanation:

5 1/2 divided by 12 equals 11/24

Answer:68.4 liters

Step-by-step explanation:  1.5x12=18 18x3.8=68.4

Answer:

y=-11

Step-by-step explanation:

Answer:

y = - 11

Step-by-step explanation:

y=6x+7
y=6*(-3)+7
y=-18+7
y=-11

Approximating 7,123,456 by rounding to the nearest million will be 7,000,000.

Anything similar to something else but not precisely the same is called an approximation. By rounding, a number can be roughly estimated. By rounding the values in a computation before carrying out the procedures, an estimated result can be obtained.

If you want to round to one or two decimal places, look at the digit immediately following the decimal point. To the right of the necessary place value digit, draw a vertical line. Observe the following digit. Increase the preceding digit by one if the following digit is 5 or higher.

Therefore, approximating 7,123,456 by rounding to the nearest million will be 7,000,000.

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Answer:

أنا بصراحة لا أعرف

Step-by-step explanation:

[x < -1/2 x

v≥ 2x+3

B

-5-4-3

C

5

4

3

-

-1₁

L2

-3-

4

-5

D

A

-2 3

4