Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
Rewrite this quadratic in standard form: 3x^2 + 7x - 1.
The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or
7^2 - 4(3)(-1), or 49 + 12, or 61. Because the discriminant is positive, this quadratic has two real, unequal roots
To determine the length of the hypotenuse, we need a relation that would relate the other legs and the hypotenuse of the triangle. So, we would need to use the Pythagorean theorem which is an equation that relates the hypotenuse with the other legs of a right triangle. It is to be noted that this is only usable for right triangles only. It is expressed as follows:
c^2 = a^2 + b^2
where c is the hypotenuse and a, b are the other legs.
c = √(a^2 + b^2)
c = √(6^2 + 8^2)
c = √100
c = 10 m
Therefore, the length of the hypotenuse with the other legs having a length of 6 and 8 would be 10 m.
Answer:
Angle Q is 51°
Angle R is 96°
(x=5 and the exterior angle is 84°)
Step-by-step explanation:
Exterior Angle Theorem says that angle that's outside the triangle (extend a side and see the angle between the side extension and the side) IS Equal to the sum of the two angles that are farther away.
17x - 1 = 33 + 10x + 1
Get all the x's on one side of the equation.
17x-10x - 1 = 33 + 10x-10x+1
7x - 1 = 33 + 1
7x - 1 = 34 add 1 to both sides
7x = 35 divide by 7
7x/7 = 35/7
x = 5
Not finished ! Find Angle Q
10x+1 = 10(5)+1= 51°
Angle PRQ is insidethe triangle. All the angles of a triangle add up to 180°
33° + 51° + R = 180°
84° + R = 180°
R = 96°
