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:

For the profit to be maximized, 20 software programs and 80 video games should be produced

Step-by-step explanation:

Let x represent the number of the software programs and let y represent the number of video games.

We are told that the company can produce at most 70 software programs and then, at most 80 video games per week. Thus;

x ≤ 70

y ≤ 80

Also, we are told that the overall production cannot exceed 100. Thus;

x + y ≤ 100

Since the company makes a profit of $15 per software program and $10 per video game. Then, the function to be maximized is;

15x + 10y

When they produce at most 70 software programs, it means that the number of video games that can be produced is: 100 - 70 = 30.

Thus, one point of maximizing values is; (70, 30)

Also, when they produce at most 80 video games per week, the number of software programs that can be produced is; 100 - 80 = 20.

Thus, second point of maximization is;

(20, 80)

Putting these points into the objective function, we have;

At (70, 30); 15(70) + 10(30) = $1350

At (20, 80); 15(20) + 10(80) = $1100

For the profit to be maximized, 20 software programs and 80 video games should be produced

Answer:

$15.49

Step-by-step explanation:

14.48 x 0.07 = 1.0136

1.0136 + 14.48 = 15.4936 = 15.49

Answer:

im sorry i dont know it

Step-by-step explanation:

hope u have a good day

Answer:

Yes!

Step-by-step explanation:

the slope of the graph travels 1x for every 4y, so multiply  both numbers by 50, which gives you (50, 200)

Answer:

The measure of SM is less than the measure of MR.

Step-by-step explanation:

The side opposite the larger angle is larger than the side opposite the shorter angle.

Answer:

i like to melt straws with my lighter and make it into different shapes

Step-by-step explanation:

Answer:

sameeeeee

Step-by-step explanation:

Given:

The graph of line.

To find:

The gradient of the line using rise/run method.

Solution:

We know that the gradient of a line is also known as slope.

[tex]Slope=\dfrac{Rise}{Run}[/tex]

Consider the two intercepts, then rise is distance between origin and y-intercept and run is the distance between origin and the x-intercept. But rise must be negative because the value of y decreased from 3 to 0.

[tex]Rise=-3[/tex]

[tex]Run=2[/tex]

Now,

[tex]Slope=\dfrac{Rise}{Run}[/tex]

[tex]Slope=\dfrac{-3}{2}[/tex]

The gradient of the line is [tex]-\dfrac{3}{2}[/tex].

Therefore, the correct option is C.

Answer: 10

Step-by-step explanation:

Answer:

(-8, 10)

Step-by-step explanation:

A P E X

Step-by-step explanation:

- In a right triangle, if ∠B is 45°, then ∠C is too.

-- Since ∠B  and  ∠C  are equal, the sides opposite them

are equal too.  This is an isosceles right triangle.  Its legs

are equal.

-- (The hypotenuse)²  =  (one leg)²  +  (the other leg)²

                                  =       (12-ft)²  +  (12-ft)²

                                  =              (144 x 2)

     The hypotenuse  =  √(144 x 2)  =  12√2 .

LOL

9514 1404 393

Answer:

  3. no (to both)

  4. yes (to both)

Step-by-step explanation:

3. see https://brainly.com/question/21676356 for an explanation

__

4. ΔADB ≅ ΔADC by the HL theorem, so all corresponding parts of the triangles are congruent.

Segment AD bisects both angle BAC and segment BC. So, point D lies on the perpendicular bisector of BC.

Yes, there is enough information to answer the questions.

Answer:

NI and HN

Step-by-step explanation:

The segments are both marked with a congruency mark.

Answer:

c

Step-by-step explanation:

because if you look at the line below it it shows 180 degrees because it is a straight line if that makes sense. if not just trust me.

Im sorry- everyone is saying its C so- Uh... sorry :<

Answer:

12) 20

13) 12.5

14)124

Answer:

Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investment will be lost.

Step-by-step explanation:

Hope this will help

Answer:

Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investments will be lost. However, a stock's price will also rise in spite of this risk when the company performs well, and can even work in the investor's favor.

Step-by-step explanation:

Answer:

500 : 0.4

Step-by-step explanation:

Answer:

A. it is not a function because there are multiple y-values paired with a single x-value.

Step-by-step explanation:

Answer:

97/139

Step-by-step explanation:

You add every thing but red so 45+20+32 which equals 97, so 97 is your numerator and to get the denominator you add all the numbers together so 42+45+20+32 which equals 139.

Probability that candy picked is purple or not red is [tex]\frac{32}{151}[/tex].

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The value of the probability of an event to happen can lie between 0 and 1 because the favorable number of outcomes can never cross the total number of outcomes. Also, the favorable number of outcomes cannot be negative.

According to the question

A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies.

You pick one candy at random.

We have to find probability that it is purple or not red.

Formula for probability:

[tex]P(E) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]

Total number of favorable outcomes = [tex]42+45+20+32 =151[/tex]

Number of favorable outcomes = 32

Probability that it is purple or not red.

[tex]P(E)=\frac{32}{151}[/tex]

Hence, Probability that candy it is purple or not red is [tex]\frac{32}{151}[/tex].

Find out more information about probability here

https://brainly.com/question/11234923

#SPJ2

Answer:

12,20

Step-by-step explanation:

That's the answer

Worker work for =25 days and he paid Rs.4625.

Step-by-step explanation:

From the question,

Worker is paid Rs.1110 for =6 days

Worker is paid Rs.1 for =(6/110) days

Worker is paid Rs.4625 for =(6/1110)×(4625) days

=25 days

Answer:

Step-by-step explanation:

d+821=5323

d=4502

So the distance she climbed in the first four days was 4502 feet.

Answer:

(4 , 5)

Step-by-step explanation:

Trapezoid JKLM

Translation

Point M'

_______________

In this question, we are asked to focus on point M if it were moved to a different area. So look at M only, now, it states that its moved 7 units to the left and 2 units up, refer to the graph below to reach your answer.

Answer:

Hello your question in incomplete attached below is the complete question

answer : 0.03

Step-by-step explanation:

H represents the height of women

Determine P ( H < 60 ) using either discrete or normal model

using discrete model

P ( H < 60 ) = ∑ relative frequencies of women with height < 60 inches

                   = 0.01 + 0.02 = 0.03

Answer:  a.2^3, b. 3^5, c. 4^3 + 5^2, d. 9^4 + 7^2

Step-by-step explanation:

i took this class already

Answer:

a) = 8

b)=243

c)=1 600

d)=321 489

Explanation

a) 2×2= 4×2= 8

b)3×3=9×3=27×3=81×3=243

c)4×4=16×4=64×5=320×5=1 600

d)9×7=63×9=567×9=5 103×7=35 721×9=321 489

Answer:

39+32+x=90

71+x=90

x=90-71

x=31

Answer:

c and d have a proportial relationship.

Step-by-step explanation:

hope this helps