Step-by-step explanation:
Coordinates of Point R = (0, y).
We have PR = QR.
=> (-2 - 0)² + (6 - y)² = (9 - 0)² + (3 - y)².
=> 4 + (6 - y)² = 81 + (3 - y)²
=> y² - 12y + 40 = y² - 6y + 90
=> 6y + 50 = 0
=> y = -25/3.
Hence the answer is (0, -25/3).
Coordinates of Point S = (x, 0).
We have PS = QS.
=> (-2 - x)² + (6 - 0)² = (9 - x)² + (3 - 0)²
=> (-2 - x)² + 36 = (9 - x)² + 9
=> x² + 4x + 40 = x² - 18x + 90
=> 22x = 50
=> x = 25/11.
Hence the answer is (25/11, 0).
Answer:
Step-by-step explanation:
solve for n so that m becomes the independent variable
Answer:
m∠B = 95°
Scalene
Step-by-step explanation:
by definition, internal angles in a triangle must add up to 180°
in this case,
∠A + ∠B + ∠C = 180°
we are given ∠C = 55° and ∠A = 30°
30° + ∠B + 55° = 180°
∠B = 180 - 55 - 30 = 95° (Answer)
We can see that all 3 angles of the triangle are different. And hence we can conclude that all 3 sides of the triangle are different length (i.e it is not equilateral or isosceles). Hence it is a scalene triangle.
Answer:
9 and 12
Step-by-step explanation:
Answer:
where is the tension.......?
Step-by-step explanation:
