Answer/Step-by-step explanation:
1. <ABC and <BCD are alternate interior angles. Alternate interior angles are equal, therefore, since m<ABC = 38°, then m<BCD = 38°
2. m<ECF = m<BCD (corresponding angles)
m<ECF = 38° (substitution)
3. m<DCF + m<ECF = 180° (linear pair)
m<DCF + 38° = 180° (substitution)
m<DCF = 180° - 38° (Subtraction property of equality)
m<DCF = 142°
10% = 3
70% = 3 * 7
= 21 students
Jamall is wrong because 70% of the class = to 21 students.
Answer:
The answer is (d) "None of the these alternatives are correct"
Step-by-step explanation:
If two events A and B are independent, the probability of the intersection 
is defined as:
Therefore, in the exercise:
which give (d) "None of the these alternatives are correct"
Answer:
b = 8√3 and c = 16
Step-by-step explanation:
<u>Points to remember</u>
If the angles of a right angled triangle with angles are 30°, 60, and 90 the their sides are in the ratio 1 : √3 : 2
<u>To find the unknown side lengths</u>
From the given figure we can see a right angled triangle
Angles are 30°, 60° and 90°
sides are in the ratio 1 : √3 : 2
1 : √3 : 2 = 8 : b : c
b = 8√3 and c = 8 * 2 = 16
Therefore b = 8√3 and c = 16
X+x=15 combine like terms on left side
2x=15 divide both sides by 2
x=7.5
