Answer:
2, 120 degrees
Step-by-step explanation:
The first step in finding the polar form is finding the modulus, r
r= sqrt( x^2 + y^2)
r = sqrt( (-1)^2 + sqrt(3)^2)
r = sqrt(1+3)
r= sqrt(4)
r =2
The next step is finding the angle
theta = arctan (y/x)
theta = arctan (sqrt(3)/-1))
theta = arctan (-sqrt(3))
theta = -60
The point (-1, sqrt(3)) is in the 2nd quadrant, but our angle is in the 4th quadrant, so we add 180 degrees
theta = -60 + 180 = 120
theta = 120 degrees
Answer:
120°
Step-by-step explanation:
angle T + 60°=180° [:. being linear pair ]
or , angle T = 180°-60°
or,angle T = 120°
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are scalene, right angled, isosceles, equilateral.
A right angled triangle is a triangle with one angle equals to 90°.
Statement Reason
∠PQR = ∠RST Given. ∠PQR = ∠RST = 90° (definition for right
angle triangle.
PQ = ST Given
PR ≅ RT Since R is the midpoint of PT, hence PR = RT
ΔPQR ≅ ΔTSR Side-angle-side triangle congruence theorem.
the Side-angle-side triangle congruence theorem
states that if two sides and an included angle of
one triangle is equal to two sides and an included
angle of another triangle, then the two triangles
are congruent. PQ=ST, PR = RT and ∠PQR = ∠TSR
Add 3 to -3 and -177 then divide -174 by6
Answer:
20 cm
Step-by-step explanation:
5x + 32 + 6x + 4 = 80
11x + 36 = 80
11x = 44
x = 4
sides of triangle:
5(4) = 20 cm
32 cm
6(4) + 2 = 26 cm