Given: DE and DF are midsegments of ABC
Prove: DE = 1/2 AC

1. midsegments DE and DF: given

2. DF ll BC and AC ll DE: Midsegments are || to the non-included side of the Δ.

3. AB is a transversal cutting DF and BC.

AB is a transversal cutting AC and DE: definition of transversal line

4. m∠FAD = m∠EDB
m∠ADF = m∠DBE: Corresponding Angles Theorem

5. AD = BD: definition of midpoint

6. DBE ≅ ADF: ASA

7. A F = 1/2 AC: definition of midpoint

8.

9. DE = 1/2 AC: Transitive Property of Equality

What is the missing step in this proof?

Answer: C. 1/3π(7.52)(19) – 1/3π(3.52)(8)

Step-by-step explanation:

took the test and got 100

The expression that represents the volume of the frustum is:  1/3π(7.5²)(19) - 1/3π(3.5²)(8).

Volume of a frustum = Volume of bigger cone - volume of smaller cone = 1/3πR²H - 1/3πr²h

Given the following dimensions:

Applying the volume formula, we have:

Volume of the frustum = 1/3πR²H - 1/3πr²h = 1/3π(7.5²)(19) - 1/3π(3.5²)(8)

Thus, the expression that represents the volume of the frustum is:  1/3π(7.5²)(19) - 1/3π(3.5²)(8).

Learn more about volume of frustum on:

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Answer:

Income inequality is how unevenly income is distributed throughout a population. ... Income inequality is often accompanied by wealth inequality, which is the uneven distribution of wealth.

Step-by-step explanation:

Answer:

Centre: [tex](\frac{1}{2} ,2)[/tex]

Radius = [tex]2[/tex]

Step-by-step explanation:

General formula for a circle: [tex](x-a)^2+(y-b)^2=r^2[/tex], where [tex]r=[/tex] the radius of the circle and [tex](a,b)[/tex] is the centre of the circle.

To find the centre and radius of the circle we should re-write the given equation in the form of the general formula.

So, put the terms with the same variables together:

[tex]4x^2-4x+4y^2+16y+1=0[/tex]

We can see that there is a common factor of [tex]4[/tex], so let's simplify by dividing by [tex]4[/tex]:

[tex]x^2-x+y^2+4y+\frac{1}{4} =0[/tex]

Here we can get it into the general formula by completing the square.

We do this by turning a quadratic with form [tex]ax^2+bx+c=0[/tex] into the form [tex](x-d)^2-e+c=0[/tex], where d is half of the coefficient of [tex]x[/tex], e is [tex]d^2[/tex] and c is the constant of the quadratic.

So let's re-write the equation of the circle:

[tex](x-\frac{1}{2} )^2-\frac{1}{4} +(y-2)^2-4+\frac{1}{4} =0[/tex]

Simplify: [tex](x-\frac{1}{2} )^2 +(y-2)^2-4} =0[/tex]

Now we can see that it's very similar to the general equation and all we have to do is bring the [tex]4[/tex] over to the right side.

[tex](x-\frac{1}{2} )^2 +(y-2)^2} =4[/tex]

So, now we can find the radius and centre.

[tex](a,b) = (\frac{1}{2} ,2)[/tex]

[tex]r^2=4, r=2[/tex]

Answer:

324π

Step-by-step explanation:

Total Surface Area of a cone =πrl+πr²

πx 12 x 15  +  π x (12²)

180π + 144π = 324π

Answer: 24

Step-by-step explanation:

Answer:

Solution given:

100( x + 5 ) = 200 ( 6 - x)

distributing

100x+500=1200-200x

100x+200x=1200-500

300x=700

x=[tex] \frac{700}{300} [/tex]

x=[tex] \frac{7}{3} [/tex]

:.x=[tex] \frac{7}{3} [/tex] or[tex] 2\frac{1}{3} [/tex]

Answer:

[tex]x = 14[/tex]

Step-by-step explanation:

[tex](5x - 3) + 63 + (3x + 8) = 180 \\ 8x + 68 = 180 \\ 8x = 112 \\ x = 112 \div 8 \\ x = 14 \\ so \\ (5 \times (14) - 3) = 67 \\ (3 \times (14) + 8) = 50[/tex]

Answer:

3/5

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

the theoretical probability that the movie is not a comedy = number of movies that are not comedies / total movies available

12/ 20 = 3/5

Answer:

Option (4)

Step-by-step explanation:

Proportional relationship means,

y ∝ x

y = kx

[tex]k=\frac{y}{x}[/tex]

Here, k = proportionality constant

Therefore, if the graph of a line passes through the origin (0, 0) table will represent the proportional relationship.

From table 1,

For a point (1, 2)

[tex]k=\frac{2}{1}=2[/tex]

For another point (3, 2)

[tex]k=\frac{3}{2}=1.5[/tex]

In both the cases 'k' is not same of constant.

Therefore, table (1) is not proportional.

For table (2),

Line passes through (2, 0).

That means there is a x-intercept → (2, 0)

Therefore, table doesn't represent a proportional relationship.

For table (3),

Line passes through a point (0, 1)

It means given line has a y-intercept → y = 1

Therefore, table doesn't represent a proportional relationship.

For table (4),

Line of this table passes through two points (1, 3) and (2, 6)

[tex]k=\frac{3}{1}=3[/tex]

[tex]k=\frac{6}{2}=3[/tex]

Therefore, proportionality constant for the given table is 3.

Now we can graph table (4).

Answer:

umm where is question?

Step-by-step explanation:

MARKMEASBRAINLISTPLS

[tex]\sf\purple{The\:radius\:of\:the\:cylinder\:is\:approximately \:28 \:ft.}[/tex]

[tex]\sf\blue{Height\:of\:the\:cylinder\:(h) }[/tex] = 10 ft.

[tex]\sf\pink{Volume\:of\:the\:cylinder}[/tex] = 25,456 ft³.

[tex]\sf\purple{The\:radius\:of\:the\:cylinder.}[/tex]

We know that,

[tex]\sf\red{Volume\:of\:a\:cylinder}[/tex] =[tex]\pi {r}^{2} h \\ ✒ \: 25456 \: {ft}^{3} = \pi {r}^{2} \times 10 \: ft \\ \: ✒ \: {r}^{2} = \frac{25456 \times 7 \: {ft}^{3} }{22 \times 10 \: ft} \\ ✒ \: {r}^{2} \: = \frac{178192 \: {ft}^{2} }{220} \\ \: ✒ \: {r}^{2} = 809.9636 \: {ft}^{2} \\ \: ✒\: r \: = \sqrt{809.9636 \: {ft}^{2} } \\ ✒ \: r \: = 28.45 \: ft[/tex]

Hence, the radius of the cylinder is 28.45 feet.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

y=70

Step-by-step explanation:

y=-60cos(π/30 (15))+70

y=-60cis(π/2)+70

y=-60•0+70

y=70

226'394 is the area of grass need to grow

Answer:

The slope is undefined.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-2)/(6-6)

m=-5/0

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Answer:

The answer is B It is located on the Quadrant ll

Step-by-step explanation:

have a good day :)

Answer:

Your answer is B

Step-by-step explanation:

There are 3 kids ages 9-10, so that's the first 3.

There are 10 kids ages 10-11, so that's the second 10.

There are 6 kids ages 11-12, so that's the third 6.

add those kids up and you get 19

Answer:

21

Step-by-step explanation:

I added them together, first the 9-10 year olds and the 11-12 year olds. There were 15, then added on the 13-14 ear olds, making altogether 21 kids over the age of 8

Answer:

B, 600

I've attached a graph to help ya!

Hope this helps!

Answer:

The Volume Of A Toy Box. (A cube)

Answer:

Volume of a toy box is correct.

I took the Quiz L:)

Answer: Outsourcing

Step-by-step explanation: I just took a test.

The use of workers that use networked computers to work at lower rates of pay than American workers is called outsourcing.

The term outsourcing has to do with a situation in which workers from outside the company are contrated to do the work of the company. This could be done remotely most times by the use of a computer.

In this case, the American companies that contracted European and Asian companies, where well educated workers could do jobs on networked computers at lower rates of pay than American workers is called outsourcing.

Learn more about outsourcing: https://brainly.com/question/14356798

Answer:

[tex]241\frac{5}{16}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

circle A is

x²+y²+6x-4y-12=0

x²+6x +y²-4y =12

think (a+b)² = a²+2ab+b² we have a=x, b= 3

and (a-b)² = a²-2ab+b² so we have a=y, b=2

x²+6x +9 +y²-4y+4 = 12-9-4

(x+3)² +(y-2)²= -1

compare to the general equation of a circle (x-h)²+(y-k)² =r²

the center is at (-3,2) and the radius is √-1 =i

Circle B has center (0, -4) and radius 3 so the equation is

(x-0)²+(y-(-4))² =3²

x² +(y+4)² = 9

point (√8, -3) is on the circle if it verifies the equation

√8² +(-3+4)² = 9

8+1 =9 true so the point is on the circle

Circle A and circle B are not similar because they do not have the same center and radius

Answer:

87 minutes

Step-by-step explanation:

Assuming 1 1/2 is 112, take 25 away from 112

Answer:

Your answer is $24

Step-by-step explanation:

5*4 is 20, so all that you have to do it 6*4

Answer:

hmm...

Step-by-step explanation:

Answer:

$945

Step-by-step explanation:

Good luck and have a nice day :D

Answer:

$48 deposited

Step-by-step explanation:

84 times 1/3 = 28

80 times 1/4 = 20

28 + 20 = 48

Answer:

B) Multiply the number of hours by 2

Step-by-step explanation:

Answer:

29 Mbps

Step-by-step explanation:

the scan rate of Dave's antivirus =

203 Mb / 7 s = 29 Mb/s or 29Mbps

Answer:

The scale “1 inch to 6 feet” is equivalent to the scale “1 to 72,” because there are 72 inches in 6 feet. The scale “1 to 100” would make a scale drawing that is smaller than the scale “1 to 72,” because each inch on the new drawing would represent more actual length.

Step-by-step explanation:

MARK AS BRAINLIEST!

Answer:

So 12 inches are 1 foot

Step-by-step explanation:

so 6 feet would be 72 inches