To prove a similarity of a triangle, we use angles or sides.
In this case we use angles to prove
∠ACB = ∠AED (Corresponding ∠s)
∠AED = ∠FDE (Alternate ∠s)
∠ABC = ∠ADE (Corresponding ∠s)
∠ADE = ∠FED (Alternate ∠s)
∠BAC = ∠EFD (sum of ∠s in a triangle)
Now we know the similarity in the triangles.
But it is necessary to write the similar triangle according to how the question ask.
The question asks " ∆ABC is similar to ∆____. " So we find ∠ABC in the prove.
∠ABC corressponds to ∠FED as stated above.
∴ ∆ABC is similar to ∆FED
Similarly, if the question asks " ∆ACB is similar to ∆____. "
We answer as ∆ACB is similar to ∆FDE.
Answer is ∆ABC is similar to ∆FED.
Answer:
$2675
Step-by-step explanation:
Hourly rate:
39(1.3r) = 541.80
(hours times hourly rate equals profit)
then solve
1.3r = 13.89
r = 10.69
the hourly rate is $10.69
to answer the bottom question, 390 + 117 = 507, but that’s not close to 541.80 so I have no idea what they’re asking there
Answer: average y = -8 average y =2
ARC : -4
Step-by-step explanation:
Answer:
24 and 25
Step-by-step explanation:
From given, we have,
7 square = 49
Let the first positive number be = x
And the second consecutive positive number is = x+1
x + (x + 1) = 49
2x + 1 = 49
2x = 49 - 1
2x = 48
x = 24
the first number x = 24
the second consecutive number x+1 = 24 + 1 = 25
Thus, 7 square = 24 + 25 (the sum of two consecutive positive numbers.)
