Each intercept should be equal to zero to solve x and y
Our fathers brought forth on this continent a new nation.
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
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Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Because it's iscosceles, angle 1 is similar size to the angle on the right leg.
∠1 = 67°
The sum of interior angles in trapezoid equals to 360°.
And because it's iscosceles, the upper angles are in the same size. We can write it as,
the sum of angles = 360°
67° + 67° + ∠2 + ∠2 = 360°
134° + 2 × ∠2 = 360°
2 × ∠2 = 360° - 134°
2 × ∠2 = 226°
∠2 = 113°
Final answer
∠1 = 67°
∠2 = 113°
Answer:
x < 5
Step-by-step explanation:
–16x > –80
Divide each side by -16, remembering to flip the inequality
-16x/-16< -80/-16
x < 5
