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:
C. greater than 90 and less than 180 degrees.
Step-by-step explanation:
An obtuse angle is angle in the second quadrant.
This angle is more than
but less than
.
Therefore the correct answer is option C.
Note however that a
angle is called a right angle and an angle greater than
but less than
is called an acute angle.
√5 = 5^(1/2)
Multiplying two number with the same base has as result a number with the same base and the sum of the exponents so:
1/2 + 3 = 7/2
which means
5^3 x 5^(1/2) = 5^(7/2)