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Afina-wow [57]
2 years ago
10

HELP GEO QUESTION THX... GIVE ME EXPLANATION PLZZZZZ THXXXXX SOO MUCCHHHH

Mathematics
1 answer:
xxMikexx [17]2 years ago
7 0

E is the midpoint of DA, and F is the midpoint of DB. This means EF is a midsegment of the triangle. It is half as long as AB, and EF is also parallel to AB.

When we extend EF to form segment EC, it is now twice as long compared to EF. So that shows EC is the same length as AB, in other words, EC = AB. Also, EC is parallel to AB. This works due to points E, F, and C being on the same line.

Since EC || AB, we know that angle EBA = angle BEC. These are alternate interior angles.

From the reflective property, we can say EB = EB

---------------

Using these three facts

  • EC = AB
  • angle EBA = angle BEC
  • EB = EB

to prove that triangle EBA is congruent to triangle BEC. The next step is to use CPCTC (corresponding parts of congruent triangles are congruent) to lead to

angle BEA = angle EBC

we can use the alternate interior angle theorem converse to conclude that EA is parallel to BC.

-----------------

In summary, we have proven:

  • EC is parallel to AB
  • EA is parallel to BC

By the definition of what it means to be a parallelogram, we have proven quadrilateral EABC is a parallelogram. In short, we've shown that the opposite sides are parallel.

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Use the table to write a linear function that relates y to x.
blsea [12.9K]

Answer:

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

Step-by-step explanation:

the equation of a linear function in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 8, 2) and (x₂, y₂ ) = (1, - 4) ← 2 ordered pairs from the table

m = \frac{-4-2}{1-(-8)} = \frac{-6}{1+8} = \frac{-6}{9} = - \frac{2}{3}

the ordered pair (0, 0 ) indicates the line crosses through the origin, then

c = 0

y = - \frac{2}{3} x + 0 , that is

y = - \frac{2}{3} x ← equation of linear function

4 0
2 years ago
What is the 185th digit of the following pattern 12345678910111213141516
Sphinxa [80]

Answer:

185

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,2021.22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40

I give up

7 0
3 years ago
Help please math ..??
astraxan [27]

Answer:

(3, - 1)

Step-by-step explanation:

5x - 4y = -11

2x + 3y = -9

Multiply the top equation by 2 and the bottom equation by - 5 to cancel out the x's.

10x - 8y = - 22

- 10x - 15y = 45

Cancel out x's.

-8y = - 22

- 15y = 45

Add like terms.

- 23y = 23

Can't have a negative variable to flip them.

-23 = 23y

Divide.

y = - 1

Input y into one of the equations and solve for x.

2x + 3(-1) = -9

Simplify.

2x -3 = -9

Cancel out -3 by adding 3.

2x = -6

Divide.

x - -3

8 0
3 years ago
What's the square root of 2 rounded to the nearest tenth ?
vichka [17]
It is 1.4 when rounded
8 0
3 years ago
Read 2 more answers
21 is 84 percent of what number
marysya [2.9K]
Let the required no. be x then according to question
(84/100)*x = 21
x = 21*(100/84)
x = 2100/84
x = 25


hence the required no. is 25


hope it helped
5 0
3 years ago
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