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:
The coterminal angles are : 270° , -450°
sketched angle is in third quadrant
Step-by-step explanation:
The sketch of the angle in standard position is attached below
The coterminal angles :
- 90 + 360 = 270°
-90 - 360 = -450°
Quadrant of the angle( -90° ) = Third quadrant
Answer:
The image is so blurred
Step-by-step explanation:
Please tell me all the measures used in your question or re ask your question and instead screen shot
Answer:
45,000 is the starting salary with zero sales
.05 is the amount multiplied by the number of sales that is added to her salary
For each sale we add .05 to her salary
Step-by-step explanation:
y = 45,000 +.05x
Rewriting as
y = .05x +45,000
This is in slope intercept form ( y=mx+b) where m is the slope and b is the y intercept
.05 is the slope and 45,000 is the y intercept
45,000 is the starting salary with zero sales
.05 is the amount multiplied by the number of sales that is added to her salary
For each sale we add .05 to her salary
