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°
Answer:
72 jelly beans
Step-by-step explanation:
138*0.52=71.76
round up
72
Answer:
<em>Sali's speed was 18.75 km/h.</em>
Step-by-step explanation:
Jane took 3.5 hours to cycle the 63 km.
As, 
, so the speed of Jane will be: 
Suppose, the speed of Sali is 
km/h
Sali caught up with Jane when they had both cycled 30 km.
So, <u>the time required for Jane to cycle 30 km</u> 
and <u>the time required for Sali to cycle 30 km</u> 
Given that, Sali started to cycle 4 minutes or 
after Jane started to cycle. So, the equation will be.......
Thus, the speed of Sali was 18.75 km/h.
The formula for Pythagorean Theorem is a^2 + b^2 = c^2, in which a and b is the leg and c is the longest leg.
