Answer:
x = 6
Step-by-step explanation:
Since, ∠1 ≅ ∠2
By angle bisector theorem,
By substituting the measures of each side in the given ratio of the sides,
12 = x(x - 4)
12 = x² - 4x
x² - 4x - 12 = 0
x² - 6x + 2x - 12 = 0
x( x - 6) + 2(x - 6) = 0
(x + 2)(x - 6) = 0
x = -2, 6
Since, measure of the sides can't be negative, x can not be negative.
Therefore, x = 6 will be the answer.
Answer:
4 hours 7 minutes
Step-by-step explanation:
Since Trevon takes 10 hours to clean the attic, he cleans 1/10, 10% or .1 of the attic per hour. Since Cody takes 7 hours to clean the attic, he cleans 1/7, 14.3% or .143 of the attic per hour.
Together, that means they clean .1 + .143 of the attic per hour. That's an hourly rate of:
.1 + .143 = .243
The portion of the attic they clean in x hours is .243x. We'd like to know how long it will take them to clean 100% or 1 of the attic. So:
.243x = 1 Divide each side by .243
x = 1/.243
x ≈ 4.115
Let's convert .115 to minutes by multiplying by 60
.115 * 60 = 6.9 round to 7 for 7 minutes
It will take them around 4 hours 7 minutes to clean the attic.
Answer:
6
Step-by-step explanation:
Alright! So, this might seem complicated at first, but in the end its just a bit of algebra. If we think of a triangle, adding all of the sides together creates the perimeter. This means that 3(x-3) + 4x-1 + 2x+5 = 49. After this we can simplify to 9x - 5 = 49, and 9x = 54. Since 54/9 = 6, this means that x = 6.
# of students who wore red = 150
# of students who did not wear red = 250
Total #. of students = 150 + 250
= 400
Percentage of students who wore red =
(# of students who wore red/Total #) * 100 = (150/400) * 100 = 37.5
∴ No of students who wore red = 37.5%
