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°
Answer: 2p - 2q
Step-by-step explanation:
(3p-10q)-(p-8q) is simply an algebraic expression.
To solve it, you first open the brackets
i.e 3p - 10q - p + 8q (the minus sign between the brackets have multiplied the next minus sign, so it becomes plus sign)
Now, collect the like terms of i.e common terms
= 3p - 10q - p + 8q
= 3p - p - 10q + 8q
= 2p - 2q
Thus, the final expression is 2p - 2q since it cannot be further simplified.
Answer:
Yes. It is true.
Step-by-step explanation:
12= 5(3) -3
12=15-3
12=12 therefore, it is true
Answer:
A. 29 units
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer:
@ = pi/3 (or 60 degrees) or @ = 7 pi/3 (or 420 degrees)
Discussion:
Let "@' denote the angle "theta". We are asked to find @ in the interval [0, 4 pi)
where
4cos(@) - 2 = 0. Adding 2 to both sides
4 cos(@) - 2 +2 = 2 =>
4 cos(@) = 2 Divide both sides by 4
cos(@) = 2/4 = 0.5
This implies that @ = pi/3 (or 60 degrees) or @ = (pi/3 + 2pi) = 7 pi/3 (or 420 degrees)
Thank you,
MrB
