Answer:
m<N = 76°
Step-by-step explanation:
Given:
∆JKL and ∆MNL are isosceles ∆ (isosceles ∆ has 2 equal sides).
m<J = 64° (given)
Required:
m<N
SOLUTION:
m<K = m<J (base angles of an isosceles ∆ are equal)
m<K = 64° (Substitution)
m<K + m<J + m<JLK = 180° (sum of ∆)
64° + 64° + m<JLK = 180° (substitution)
128° + m<JLK = 180°
subtract 128 from each side
m<JLK = 180° - 128°
m<JLK = 52°
In isosceles ∆MNL, m<MLN and <M are base angles of the ∆. Therefore, they are of equal measure.
Thus:
m<MLN = m<JKL (vertical angles are congruent)
m<MLN = 52°
m<M = m<MLN (base angles of isosceles ∆MNL)
m<M = 52° (substitution)
m<N + m<M° + m<MLN = 180° (Sum of ∆)
m<N + 52° + 52° = 180° (Substitution)
m<N + 104° = 180°
subtract 104 from each side
m<N = 180° - 104°
m<N = 76°
If I am correctly understanding the question, I think the length of the line segment would be 4AB
Step-by-step explanation:
25% = 1/4
AB = 1/4
100% = 4/4
AB*4 = 4AB
Multiply AB by 4 to find the value that 100% would equal, resulting in 4AB.
9(3n + 8) = 180
3n + 8 = 180/9
3n + 8 = 20
3n = 20 - 8
3n = 12
n = 12/3
n = 4 <==
Answer:
This system has no points of intersection.
Step-by-step explanation:
The lines are parallel, so they don't intersect.
I graphed the equations below to show you how they are parallel.
Answer:
12
Step-by-step explanation:
