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kaheart [24]
3 years ago
13

If ΔABC ≅ ΔEDF where the coordinates of A(0, 2), B(2, 4), and C(2, −1), what is the measure of DF?

Mathematics
2 answers:
tatiyna3 years ago
5 0
BC = DF

(-1-4)^2 + (2-2)^ 2

(-5)^2 + (0)^2
Square root 25 is 5

C is the answer. Can you mark me as brianliest? Really appreciate it!
allsm [11]3 years ago
4 0

Answer:

C. 5

Step-by-step explanation:

Since Triangle ABC is congruent to EDF it mean that the sides are the same so the length of BC is congruent to the length of DF:

distance formula:

d = √(x2 - x1)^2 + (y2 - y1)^2

d = √(2 - 2)^2 + (-1 - 4)^2

d = √(0)^2 + (-5)^2

d = √0 + 25

d = √25

d = 5

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steposvetlana [31]

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4 0
3 years ago
Alex is 22 years older than Lana. Four years ago Lana’s age was one-half of Alex’s current age. How old was Alex four years ago?
katen-ka-za [31]

Answer:

33

Step-by-step explanation

22 divided by 2 is 11

it says four years ago so add 11 and 4 and that equals 15

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7 0
2 years ago
Read 2 more answers
The quantity a varies directly with b and c and inversely with dThe quantity d is tripledWhich of the following must be true for
EastWind [94]

Answer:

We have the next relation:

A = (b*d)/c

because we have direct variation with b and d, but inversely variation with c.

Now, if we have 3d instead of d, we have:

A' = (b*(3d))/c

now, we want A' = A. If b,c, and d are the same in both equations, we have that:

3bd/c = b*d/c

this will only be true if b or/and d are equal to 0.

If d remains unchanged, and we can play with the other two variables we have:

3b'd/c' = bd/c

3b'/c' = b/c

from this we can took that: if c' = c, then b' = b/3, and if b = b', then c' = 3c.

Of course, there are other infinitely large possible combinations that are also a solution for this problem where neither b' = b or c' = c

6 0
3 years ago
What is the interval notation for y<5?
Ilia_Sergeevich [38]

Hey there!☺

Answer: (-∞, 5)

Explanation:

You need to convert the inequality as an interval notation.

y as interval notation would be written like this:

(-∞, 5)

Hope this helps!

7 0
3 years ago
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