<u>Answer-</u>
<em>The length of BC is </em><em>8 units.</em>
<u>Solution-</u>
Mid-Point Theorem-
The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
As given,
AD = DB, so D is the mid point of AB
FA = FC, so F is the mid point of AC
Hence, DF is the line segment connecting the midpoints of two sides of a triangle.
Applying the theorem,
BC = 2DF = 2×4 = 8 units
Answer:
1/8
Step-by-step explanation:
First and foremost, you should note that to make the cleaner, it is 1.5/13.5 cups of cleaner produced for every 12 cups of water, thus making 1.5/12 the ratio. Next, we must simplify this to get 1/8.
Answer:
2*4ⁿ
Step-by-step explanation:

The monthly failure rate is q = 5% = 0.05
The monthly pass rate is p = 1 - q = 0.95
We want to determine the probability of 12 passes in 12 consecutive months for a student.
P(12 of 12 successes) = ₁₂C₁₂ p¹² q⁰ = 0.95¹² = 0.5404.
Therefore if we have 100 students, the number that gets through 12 consecutive months is
100*005404 = 54 students.
Answer: 54 students are left after 12 months.
Answer:
x = -5
Step-by-step explanation:
4-2(x+7)=3(x+5)
Distribute
4 -2x-14 = 3x+15
Combine like terms
-2x-10 = 3x+15
Add 2x to each side
-2x-10+2x= 3x+15+2x
-10 = 5x+15
Subtract 15 from each side
-10-15 = 5x+15
-25 = 5x
Divide by 5
-25/5 = 5x/5
-5 =x