Answer:
Option d is correct.
Vertical angles are congruent;
SAS
Step-by-step explanation:
Given: 
, 
In ΔNKJ and ΔMLK
and [Side] {Given}
Vertical angles states that the two lines intersect to make an X, angles on opposite sides of the X are called vertical angles.
i.e 
and 
are vertical angles.
Also, vertical angles are congruent.
[Angle] [Vertical angles are congruent]
SAS(Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
then, by SAS postulates;
Hence proved!
Therefore:
Statement Reason
1. , Given
2. Vertical angles are congruent
3. SAS
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3, then
y = - 3x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - 9 + c ⇒ c = - 2 + 9 = 7
y = - 3x + 7 ← equation of line
Answer:
30.1° (nearest tenth)
Step-by-step explanation:
Please see attached picture for full solution.
tanθ= opp/adj
Answer:
the circumference of the circle is about 23.55.
Step-by-step explanation:
hope this helps :D
Answer:
Step-by-step explanation:
we know that
----> by complete circle
we have
----> by central angle
so
substitute in the equation above
