Given that B is the midpoint of AC, and E is the midpoint of AD, prove △ABE and △ACD are similar.

Options:
A. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅BC¯¯¯¯¯, AE¯¯¯¯¯≅ED¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Reflex. Prop. of ≅)5. ΔABE∼ΔACD (AA∼)

B. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅BC¯¯¯¯¯, AE¯¯¯¯¯≅ED¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Reflex. Prop. of ≅)5. ΔABE∼ΔACD (SAS∼)

C. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅ED¯¯¯¯¯, AE¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Trans. Prop. of =)5. ΔABE∼ΔACD (AA∼)

D. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅ED¯¯¯¯¯, AE¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of mdpt.)3. ACAB=AEAD (Reflex. Prop. of ≅)4. ∠A≅∠A (Trans. Prop. of =)5. ΔABE∼ΔACD (SAS∼)

Answer:

There are 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

The numbers of containers in each row form an arithmetic progression, increasing by 3 each row.

common difference = 3

a₁ = 2

a₂₀ = a₁ + (20-1)d = 2 + 19×3 = 59

Total number = 20 × (a₁ +  a₂₀)/2 = 20 × (2 + 59)/2 = 610

Answer:

(13, 10 )

Step-by-step explanation:

Given the 2 equations

x = y + 3 → (1)

x + 7 = 2y → (2)

Substitute x = y + 3 into (2)

y + 3 + 7 = 2y

y + 10 = 2y ( subtract y from both sides )

10 = y

Substitute y = 10 into (1) for corresponding value of x

x = 10 + 3 = 13

solution is (13, 10 )

Let m be the amount each mom can paint and d be the amount each daughter can paint.

On the first day, 8 mothers were painting so the mothers painted 8m square feet. 12 daughters also painted so the daughters painted 12d square feet. The total amount painted on the first day is then 8m+12d square feet. Since 220 square feet was painted on the first day, then 8m+12d=220.  Dividing both sides by 4 gives a simplified equation of 2m+3d=55.

On the second day, 6 mothers were painting so the mothers painted 6m square feet. 8 daughters also painted so the daughters painted 8d square feet. The total amount painted on the second day is then 6m+8d square feet. Since 152 square feet was painted on the second day, then 6m+8d=152

Multiply the first equation by -3 and then add it to the second equation to eliminate m and solve for d:

d=13

2m+3d=55

2m+3(13)=55

2m+39=55

2m=16

m=8

Therefore each mom painted 8 square feet and each daughter painted 13 square feet.

Answer:

Number of cars = 14

Number of buses = 5

Step-by-step explanation:

Let

x = number of cars

y = number of buses

x + y = 19 (1)

5x + 25y = 195 (2)

From (1)

x = 19 - y

Substitute x = 19 - y into (2)

5x + 25y = 195

5(19 - y) + 25y = 195

95 - 5y + 25y = 195

- 5y + 25y = 195 - 95

20y = 100

y = 100/20

y = 5

Substitute y = 5 into (1)

x + y = 19

x + 5 = 19

x = 19 - 5

x = 14

Number of cars = 14

Number of buses = 5

Based on the number of vehicles and the number that each vehicle can take, the number of buses required is 4 buses.

There are 19 vehicles which take 5 students each. This means that the number of kids entering buses will be:

= 19 x 5

= 95 students

The students entering buses will be:

= Total number of students - Kids in vehicles

= 195 - 95

= 100 students

If each bus takes 25 students, the number of buses required is:

= 100 students / 25

= 4 buses

In conclusion, 4 buses were taken.

Find out more at https://brainly.com/question/15806057.

Answer:

81 is your answer :)

Step-by-step explanation:

b x h = a

9 x 9 =  81

Answer:24

Step-by-step explanation:

Step-by-step explanation:

-2+(-8+9)

= -2+(1)

= -2+1

= -1

............ 1..1.1.1..1.1.

The graph of the function y = 15000 - 3000x represents linear regression.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have a finance person who used the function y = 15000 - 3000x to graph depreciation.

We have the following of depreciation -

y = 15000 - 3000x

The graph of the function y = 15000 - 3000x will have a negative slope of -3000. The line makes an obtuse angle with the +x - axis. This type of variation is called linear regression.

Therefore, the graph of the function y = 15000 - 3000x represents linear regression.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

[The question in english is as follows

The finance person used the function "y"=15000-3000x to graph depreciation, what kind of variation does it represent ?]

Answer:

The percentage profit for the year is 62.50%

Step-by-step explanation:

Here, we want to calculate the percentage profit

That would be difference between the revenue (88,000) and the cost (33,000) divided by the revenue * 100%

We have this as;

(88,000-33,000)/88,000 * 100%

= 55,000/88,000 * 100%

= 62.50%

Answer:

x-2y = 8

-2y = -x + 8

y = x/2 - 4

y intercept: (0, -4)

slope: 1/2

3x-2y = 12

-2y = -3x + 12

y = 3x/2 - 6

y intercept: (0, -6)

slope: 3/2

I assume I would graph with the following points (0,-4) and (4,0) for the second one I assumed I would graph the following points (0,-6) (6,0). I think I have confused the actual points in which I am to graph. Could you please tell me if I am graphing the correct points? I do not have the ISBN for this book becasue it is an online class. Thanks and have a great day!!

Step-by-step explanation:

Answer:

B)7 units

Step-by-step explanation:

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

because this is an equilateral triangle, this means that all the size of the lengths is equal this means that,

2y+5 = 4y-3

(add 3 for both sides)

2y+8 = 4y

(subtract 2y for both sides)

8 = 2y

(divide by 2 for both sides)

4 = y

so,

y=4

Answer:

The area of the square 45 [tex]meters^{2}[/tex]

Step-by-step explanation:

Width 3 meters

3x5=15

Length 15 meters

3x15=45

Answer:

35

Step-by-step explanation:

hope it helps :)

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

(a) 3:4

(b) 3:4

(c) 9:16

Step-by-step explanation:

(a) The ratio of the sides would be 15:20 but after you simplify them (divide by 5), you'd get 3:4

(b) The ratio of the perimeter would be 60:80 because you're multiplying each side length by 4. When you simplify this again (divide by 20), however, it becomes 3:4 again

(c) To find the area, you would multiply the width times height, the ratio would be 225:400. You would get the greatest common factor which is 25 and divide it on both sides to get 9:16

Answer:

[tex] \frac{8}{1} \times \frac{7}{12} = \frac{56}{12} = \frac{14}{3} [/tex]

................. ;)

Answer:

- 43t - 22s - 3

Step-by-step explanation:

(–45t + 53s) + (–3 – 75s + 2t)

Opening the brackets

-45t + 53s -3 - 75s + 2t

Collecting like terms

-45t + 2t + 53s - 75s -3

Simplify the expression

-43t -22s - 3

Answer:

A) y=3x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-8)=3(x-(-2))

y+8=3(x+2)

y=3x+6-8

y=3x-2

Answer:

4

Step-by-step explanation:

divide each side by 700

=2800/700=700c/700

9514 1404 393

Answer:

  c = 4

Step-by-step explanation:

The equation has a constant on one side of the equal sign, and a variable term on the other side. Solve this by dividing both sides of the equation by the coefficient of the variable.

  [tex]2800=700c \qquad\text{given}\\\\ \dfrac{2800}{700}=\dfrac{700c}{700}\qquad\text{divide both sides by 700}\\\\4 = c \qquad\text{simplify}[/tex]

The value of c is 4.

Answer:

10

Step-by-step explanation:

because 5/15=3x

Answer:

yes the relation between the sides and angles of a right triangles bases off math

Answer:

no

Step-by-step explanation:

2^2 + 4^2 does not equal 5^2

a2+b2=c2

Answer: No Solution

Step-by-step explanation:

y=2x+1 and 2x-y=3

Substitute y=2x+1 into 2x-y=3

So you will have: 2x-2x+1=3

Then,

2x-2x=0

0+1=3

1=3

1 doesn't equal 3 so there is no solution.

Answer:

8ab(ab-8)

Step-by-step explanation:

I think sooo but I am not sure

Answer:

= 12.5

Step-by-step explanation:

SOHCAHTOA

Cos 60° = x/25

x= 25 Cos 60°

= 12.5

Answer:

we have

sin 30°=perpendicular/hypotenuse

1/2×25=x

x=12.5

is your answer

Answer:

32.85°

Step-by-step explanation:

Used a fancy calculator & just took a test like this

good luck, i hope this helps :)

Answer:

x = 32.8599

Step-by-step explanation:

you have the hypotenuse and the side adjacent to the angle, so you use

Cos(x) = adjacent/hypotenuse

so

Cos(x) = 21/25

x = cos^-1(21/25)

put this in a calculator:

x = 32.8599 (rounded)