Find the length of the following sides:
DF
AB
EF

Answer:

Proved

Step-by-step explanation:

Given

[tex]B =(-2,-1)[/tex]

[tex]U = (0,3)[/tex]

[tex]G = (3,2)[/tex]

[tex]S = (4,-3)[/tex]

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

Taking BU and GS as a pair

First, we calculate the slope using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

For BU

[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{3 - -1}{0- -2}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m = 2[/tex]

For GS

[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{-3-2}{4-3}[/tex]

[tex]m = \frac{-5}{1}[/tex]

[tex]m = -5[/tex]

The slope of BU and GS are not the same; hence, they are not parallel.

Taking BS and GU as a pair

Calculate the slope

For BS

[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{-3 - -1}{4- -2}[/tex]

[tex]m = \frac{-2}{6}[/tex]

[tex]m = -\frac{1}{3}[/tex]

For GU

[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]m = \frac{3-2}{0-3}[/tex]

[tex]m = \frac{1}{-3}[/tex]

[tex]m = -\frac{1}{3}[/tex]

The slope of BS and GU are the same; hence, they are parallel.

BUGS is a trapezoid because BS and GU have the same slope

Answer:

x:5⁰

y:52⁰

Step-by-step explanation:

triangle:180⁰

the triangleis isoceles triangle so y:52⁰

so B is 72⁰

(14x+6)⁰=(14(5)+6)⁰=72⁰

Answer:

We first ALWAYS have to split the figure apart from each other,

lets split it into a triangle and a square!

Let's find the area of the triangle:

20(height) x 20(base) = 400!

400 x 1/2 (just dividing by 2) = 200!

*Remember* Formula of a triangle is:

B(base) x H(height) x 1/2 (basically dividing by 2)

Now time to find the area of the square!

20 x 20 = 400!

Now let's add both their areas:

400 + 200 = 600!

Step-by-step explanation:

600cm2 is your answer.

The figure has an area of 600 square centimeters.

In this question we need to determine the area of the entire figure, this area is the sum of the areas of a square and two symmetric right triangles, defined by respective formulas, that is:

[tex]A = A_{s} + 2\cdot A_{t}[/tex] (1)

Where:

By applying area formulas for squares and triangles, we expand (1):

[tex]A = x^{2} + \frac{1}{2}\cdot x\cdot y[/tex] (2)

Where:

If we know that [tex]x = 20\,cm[/tex] and [tex]y = 20\,cm[/tex], then the area of the figure is:

[tex]A = \frac{3}{2}\cdot (20\,cm)^{2}[/tex]

[tex]A = 600\,cm^{2}[/tex]

The figure has an area of 600 square centimeters.

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Answer:

49.59°

Step-by-step explanation:

Using trigonometry, we can obtain AVA's angle of elevation to UFO

Using the relation :

Tanθ = opposite / Adjacent

Tan θ = 195 / 166

θ = tan⁻¹(195÷166)

= 49.59°

Where the above is square, the coordinates are: (4, 7). This is obtained by simply tracing the A-D in equal distance with B and C.

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

A coordinate system is a framework for specifying the relative positions of objects in a specific region, such as an area on the earth's surface or the whole earth's surface. A geographic coordinate system determines locations on the world by using a three-dimensional spherical surface.

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Answer:

B. √21

Step-by-step explanation:

x^2 = √5 x √5 + 4 x 4

x^2 = 5 + 16

x^2 = 21

x = √21

Hope that helps! :)

-Aphrodite

Answer:

im not entirely sure but the equation for your hypotenuse (x) is  [tex]\sqrt 5^{2} * 4^{2}[/tex]

which is 80 and the square root of 80 is 8.944 and that would be your hypotenuse

(i just realized that is completely wrong, sorry)

Answer:

[tex]y = 19 \frac{1}{6} [/tex]

Step-by-step explanation:

[tex]5y + 32 = - 64 \\ 5y = - 64 - 32 \\ 5y = 96 \\ \frac{5y}{5} = \frac{96}{5} \\ y = 19 \frac{1}{6} [/tex]

hope this helps you.

Can I have the brainliest please?

Have a nice day !!!!

~Hi1315~

Answer:

7.9

Step-by-step explanation:

Step-by-step explanation:

To find mean-

you add all the #'s together and then (/) them by the amount of the #'s

#5.   8, 2, 3, 5, 7

8+2+3+5+7

10+8+7

10+15

25

25/ 5

5

#6.   4, 1, 6, 3, 6, 4

4+1+6+3+6+4

5+9+10

5+19

24

24/ 6

4

The median is the (middle) you have to put the #'s in order least to greatest

#5.    2, 3, 5, 7, 8

cross one by one on both sides

3, 5, 7,

5

#6.   1, 3, 4, 4, 6, 6

3,4,4,6

4,4

4 (because in the middle of 4 and 4 well is 4) (if you had 5 and 6 left it would be 5.5)

The mode is the # that appear the most often in the set of data.

#5.  there is no more because there is one of each # there is none that has 2 or more (N/A)

#6.    1,3, 4, 4, 6, 6

the mode is 4 and 6

because those #'s have 2 or more and they are both at 2 so they are both the mode

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers? Thus, the required numbers are 7 and 35

A picture is attached!

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

1/6

Step-by-step explanation:

3 out of 18 marbles are green. 3/18 can be reduced to 1/6 because both 3 and 18 are divisible by 3.

3/3=1

18/3=6

1/6

The probability of picking a green marble is 1/6.

To find the probability of picking a green marble, we need to consider the total number of marbles and the number of green marbles in the jar. The jar contains a total of 18 marbles, and out of these, there are 3 green marbles.

The probability of an event happening is calculated by dividing the number of favorable outcomes (in this case, the number of green marbles) by the total number of possible outcomes (the total number of marbles in the jar).

So, the probability of picking a green marble can be written as:

P(green marble) = Number of green marbles / Total number of marbles

Substituting the values, we get: P(green marble) = 3 / 18

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3. Dividing both 3 and 18 by 3, we get: P(green marble) = 1 / 6

Therefore, the probability of picking a green marble from the jar is 1/6. This means that if you randomly pick a marble from the jar, there is a 1 in 6 chance that it will be green.

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Answer:

I think b?

Step-by-step explanation:

Answer:

157.38

Step-by-step explanation:

if you add all those numbers you will get 1888.59/12= 157.38

Answer:

It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.

Step-by-step explanation:

An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of

ibuprofen left in the persons system

This means that in 2 hours time

400- 201.6= 198.4 mg was used up.

We need only 25 mg in the system

so 400- 25= 375 mg  time is needed

time          mg

2 hour      198.4

x                375

Using the cross product rule

x= 375*2/198.4

x= 3.780 hrs

Which means 3 hours and (0.78* 60)= 46.8 minutes.

It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.

Answer:

i will say the second one

Step-by-step explanation:

you have a brain, do it yourself

Answer:

just do 400 times 400 witch is 1600

Step-by-step explanation:

Answer:

Step-by-step explanation:

volume=10 1/2 ×2 3/4 ×5

=21/2×11/4×5=1155/8=144 3/8 cubic inch

Answer:

Eric rode 2 more miles per week than Kim rode.

Step-by-step explanation:

Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:

135/9

= 15

Find how many miles per week Eric rode:

102/6

= 17

So, Kim rode 15 miles per week and Eric rode 17 miles per week.

The answer is Eric rode 2 more miles per week than Kim rode.

Answer:

A.

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

Answer:

10x = 2x -8

-2x -2x

8x = -8

divide by 8

x = -1

Answer: Small correction from the bottom one its 35, 22

Step-by-step explanation: Edginuity 2021 just got is right.

Answer:

35 and 22

Step-by-step explanation:

Answer:

120.105m^2

Step-by-step explanation:

Given data

Diameter of circular bed=  24+3m = 27m

radius= 27/2= 13.5 m

Diameter of side walk = 12

radius= 24= 12 m

Hence the area of the sidewalk is

Area= area of circular bed- area of side walk

Area=πR^2-πr^2

Area=π(R^2-r^2)

Area=π(13.5^2-12^2)

Area= 3.14(182.25-144)

Area= 3.14(38.25)

Area=120.105m^2

Hence the area of the side walk is 120.105m^2

Answer: $3,581

Step-by-step explanation:

As she plans to save from her net income, we have to find the net income first:

= Net income - Federal taxes - Social and Medicare taxes

= 33,000 - (33,000 * 20%) - (33,000 * 7.65%)

= $23,875.50

The savings will be:

= Net income * Savings percentage

= 23,875.50 * 15%

= $3,581.325

= $3,581

Answer:

0

x

16

-5

5.5

Step-by-step explanation:

Answer:

X. 120 Y. 30 Z. 36.5

Step-by-step explanation:

X. 360-107-133= 120

Y. Length of AB is equal to 120, so angles y and C are equal to 60. 60/2= 30

Z. 133+ 30= 163. 180-163= 17. Angle A and Z equal to 53.5. 53.5-17= 36.5

Answer:

The area of the cone not painted is approximately 196.35 cm²

Step-by-step explanation:

The question relates to similar shapes;

We have;

The base diameter of the cone, D₁ = 20 cm

The slant height of the cone, l₁ = 25 cm

The height at which the circle is drawn, 10 cm above the base, we have; l₂ = 25 cm - 10 cm = 15 cm

Let 'x' represent the diameter of the circle formed by the drawn circle, we have;

By similar triangles, we get;

D₁/l₁ = x/l₂

x = l₂ × D₁/l₁

20/25 = x/15

x = (20/25) × 15 = 12

The curved surface area of the cone, A = π·r·l

The area of the curved surface of the entire cone, A₁ = π·r₁·l₁

r₁ = D₁/2

Therefore, we get, A₁ = π × 20/2 × 25 = 250·π

A₂ = π × 15/2 × 25 = 187.5·π

The area of the cone not painted, A = A₁ - A₂

∴ A = 250·π - 187.5·π = 62.5·π

The area of the cone not painted, A = 62.5·π ≈ 196.35

The area of the cone not painted ≈ 196.35 cm²

Answer:

8 1/3

Step-by-step explanation:

x+(x-1)+(x+2)=29

3x+1=29

3x=28

x=9 1/3

9 1/3-1= 8 1/3