Answer/Step-by-step explanation:
Given:
m<MNQ = 132°
m<Q = 54°
m<P = 3x
1. m<MNQ = m<P + m<Q
Reason: exterior angle theorem of a triangle
Plug in the values
2. 132° = 3x + 54°
Reason: Substitution
3. x = 26
Reason: Algebra
132 - 54 = 3x (substraction property of equality)
78 = 3x
78/3 = x (division property of equality)
26 = x
x = 26
Helen runs the longest distance in 4 days.
Helen (In 4 days): 2.75 x 4 = 11
Bill (In 4 days): 10
11 (Helen) > 10 (Bill), so therefore Helen runs the longest distance in 4 days.
There exists a similar question that would lead to the relationship of the given circumference to the unknown value. The radius of the larger circle is 12 cm. The formula for determining the circumference is,
C = 2πr
Substituting the known value,
C = 2π x 12 cm = 24π cm
Thus, the answer is letter B.
Answer:
Jordan made mistake in his first step while multiplying.
Step-by-step explanation:
Given expression of Jordan's work is
14(8+4x) = 6x-(5-11x)
In the first step, Jordan multiplied the numbers to remove the braces.
He multiplied 14(8+4x) wrong as 14*8 is 112 rather than 126and on the right hand side, he did not change the sign of 11x to positive as two negatives are positive when multiplied.
Hence,
Jordan made mistake in his first step while multiplying.
