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°
The gcf of both 6 and 48 is 6. So, in simplest form, the ration would be: 1:6 or 1 hour:6 minutes :)
Answer:
the answer is b
Step-by-step explanation:
Answer:
-5(2) (-2) +2 + 4(-2) +7 = 21
-4(2) -2(-2) -10 = -14
21/14 = -1.5 or -1 1/2
Answer:
75 and 45
Step-by-step explanation:
woman's age= w
son's age= s
--------------
- w=s+30
- w-15=(s-15)*2 ⇒ w-15=2s-30 ⇒ w=2s- 15
comparing the two above:
- s+30=2s-15 ⇒ s= 45 ⇒ w= 75
