1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
photoshop1234 [79]
3 years ago
10

In the given figure ABCD is a parallelogram, E is the midpoint of BC. DE produced meets AB produced at L. Prove that AB = B L an

d AL=2DC​

Mathematics
1 answer:
aliina [53]3 years ago
7 0

Answer:

<em>See Reasoning Below</em>

Step-by-step explanation:

To prove that AB = BL, or in other words AB ≅ BL, let us consider the triangles CED and BEL. If we were to prove they were congruent, then by CPCTC ( corresponding parts of congruent triangle are congruent ) DC ≅ BL. As AB ≅  DC by " Properties of Parallelogram " it would be that through transitivity, AB ≅ BL / AB = BL;

m

Now for " part 2 " we can consider that AB = DC, from part 1. If AB = BL, then AL = 2 ( AB ) by the Partition Postulate. AB = DC, so we can also say that AL = 2 ( DC ) - Proved

See attachment in statement reasoning form for part 1;

You might be interested in
Total profit P is defined as total revenue R minus total cost​ C, and is given by the function P(x)=R(x)−C(x). Find the total pr
satela [25.4K]

Given:

The revenue function is

R(x)=126.98x-0.5x^2

The cost function is

C(x)=3809.40+0.7x^2

To find:

The profit function.

Solution:

We know that, the total profit P is defined as total revenue R minus total cost​ C.

So, the profit function is

P(x)=R(x)-C(x)

P(x)=126.98x-0.5x^2-(3809.40+0.7x^2)

P(x)=126.98x-0.5x^2-3809.40-0.7x^2

P(x)=-3682.42-1.2x^2

Therefore, the profit function is P(x)=-3682.42-1.2x^2.

5 0
3 years ago
Write an equation for a line that is parallel to 2x+5y=15 and passes through the point (-10, 3)​
Lyrx [107]

Answer:

The equation of the line is,

y =  -  \frac{2}{5} x - 1

Step-by-step explanation:

First, you have to write it in a form of y = mx + b :

2x + 5y = 15

5y = 15 - 2x

y = 3 -  \frac{2}{5} x

y =   - \frac{2}{3} x + 5

When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :

y =   - \frac{ 2}{5}x + b

let \: x =  - 10,y = 3

3 =  -  \frac{2}{5} ( - 10) + b

3 = 4 + b

3 - 4 = b

b =  - 1

3 0
3 years ago
Read 2 more answers
HELP <br> Solve for x. <br><br> −0.84x≤168<br><br><br><br> Enter your answer, as an inequality
Elenna [48]
X is greater than or equal to -200
3 0
3 years ago
Select the objects that hold the same amount of liquid as 160 fluid ounce jug spect all that apply A four 8 ounce fluid glasses
Olegator [25]
The answer is D .....
7 0
3 years ago
2. What number will go in the blank so that the equation will have an
dolphi86 [110]

Answer:

I think option B) -5

I hope help you

7 0
2 years ago
Read 2 more answers
Other questions:
  • Please help with this question I’m almost done
    9·2 answers
  • 5=-2n<br> helpppppppppppppppppppppppppppppppppppppppppp
    11·1 answer
  • If x -9 is a factor of x^2 -5x-36 , what is the other factor ?
    9·1 answer
  • Simplify the expression using the distributive property. –4(–3x + 11) 1. Distribute the –4 through the parentheses: -4(–3x) + (-
    9·2 answers
  • Find the distance around (perimeter) the figure on the left.<br> The perimeter is ___ in.
    6·1 answer
  • Time. weight
    7·1 answer
  • Write the ratio of the first measurement to the second measurement. Compare in millimeters.
    6·1 answer
  • target sells tide detergent for $6.75 for 25 fluid ounces. walmart sells tide dergernt for $11.20 for 40 fl.oz. use the unit rat
    9·1 answer
  • What is the volume of the sphere? Use 3.14 for and round to the nearest whole number.
    11·1 answer
  • A pair of shoes costs $30.99 and the sales tax is 5%. Use the formula C = p + rp to find the total cost of the shoes, where C is
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!