Answer:
∠ 6 = 45°
Step-by-step explanation:
∠ 6 and ∠ 7 are alternate angles and are congruent, thus
4x - 15 = x + 30 ( subtract x from both sides )
3x - 15 = 30 ( add 15 to both sides )
3x = 45 ( divide both sides by 3 )
x = 15
Thus
∠ 6 = 4x - 15 = 4(15) - 15 = 60 - 15 = 45°
Answer:
Extracting out that inner right angle.
Hypotenuse = 8
Height = h
Adjacent :

Height, h :

Answer:
You could talk on the phone for 200 minutes at night, or 40 minutes during the day.
For every 5 minutes you reduced your night time talking, you could talk during the day for 1 minute.
Step-by-step explanation:
0.50d + 0.10n < $20
0.50d < $20 --> d < 40 minutes
0.10n < $20 --> n < 200 minutes
Ans
I = sqrt(P/R)
Step-by-step explanation:
You divide both sides by R first
P/R = I^2 R/R
So,
I^2 = P/R
take the square root of both sides
I = sqrt(P/R)
Divide the perimeter by 2, this will give you the sum of one length and one width.
68/2 = 34 yards
Now the length is 10 yards more, so subtract 10 from the 34 and divide by 2 again:
34 - 10 = 24
24 /2 = 12
The width is 12 yards.
The length is 12 + 10 = 22 yards.