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2 years ago

PLEASE SHOW FULL SOLUTIONS!!! WILL MARK BRAINLIEST!!! SHOW ALL STEPS!!! THANK YOU!!!

Mathematics

1 answer:

ELEN [110]2 years ago

5 0

9514 1404 393

Answer:

a) BE = 5; DE = 6; EF = 4

b) ∠EFC ≅ ∠DA.F ≅ ∠BDE or <em>b = e = f = i</em>

Step-by-step explanation:

Each short segment is the same length as the marked one it is parallel to.

E is the midpoint of BC, so BE = EC = 5.

ADEF is a parallelogram, so DE = A.F = 6.

D is the midpoint of AB, so AD = DB = 4. ADEF is a parallelogram, so ...

EF = AD = 4

As we have noted, AB║EF and DE║A.F, so corresponding angles and alternate interior angles are congruent. <em>b = e = f = i</em>

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3 years ago

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2 years ago

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2 years ago

Read 2 more answers

La ecuación de la recta que pasa por los puntos (2,-1) y (1,-5) es:

77julia77 [94]

Given:

A line passes through the points (2,-1) and (1,-5).

To find:

The equation of the line.

Solution:

If a line passes through the two points, then the equation of the line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

The line passes through the points (2,-1) and (1,-5). So, the equation of the line is

$y-(-1)=\dfrac{-5-(-1)}{1-2}(x-2)$

$y+1=\dfrac{-5+1}{-1}(x-2)$

$y+1=\dfrac{-4}{-1}(x-2)$

$y+1=4(x-2)$

Using distributive property, we get

$y+1=4(x)+4(-2)$

$y+1=4x-8$

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$y+1-1=4x-8-1$

$y=4x-9$

Therefore, the correct option is B.

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3 years ago