Answer:
2, 5, 9
Step-by-step explanation:
The two shorter sides added together must be longer than the third side or they cannot make a triangle.
Answer:
B
Step-by-step explanation:
Since the power is negative, you automatically know it has to be a or b, because the only way it would be negative is if it was brought from the denominator to the numerator.
The answer is B, because the numerator of the power, is what is inside the square root, while the denominator is what is outside the square root.
Answer:
-2; 1; 4; 7
Step-by-step explanation:
To solve for y, plug the x value in to the expression
y = 3(-1) + 1
y = -3 + 1
y = -2
When x = -1, y = -2
y = 3(0) + 1
y = 0 + 1
y = 1
When x = 0, y = 1
y = 3(1) + 1
y = 3 + 1
y = 4
When x = 1, y = 4
y = 3(2) + 1
y = 6 + 1
y = 7
When x = 2, y = 7
Answer: The correct answer is Choice 4.
The Pythagorean Theorem is about the relationships between the side lengths of a triangle.
When a triangle is a right triangle the sides are in the form of: a^2 + b^2 = c^2
If you want to determine if a triangle is a right triangle, just plug the values into this equation and see if it is true.
Therefore, you should first know the sides lengths.
The problem statement tells you ∠MLK is 61°, so ∠LMK = 180° -68° -61° = 51°. Since a tangent is always perpendicular to a radius, triangles LJM and LJK are right triangles.
Trigonometry tells you ...
tangent = opposite / adjacent
so you can write two relations involving LJ.
tan(51°) = LJ/JM
tan(68°) = LJ/JK
The second equation can be used to write an expression for LJ that can be substituted into the first equation.
LJ = JK*tan(68°) = 3*tan(68°)
Substituting, we have
tan(51°) = 3*tan(68°)/JM
Multiplying by JM/tan(51°), we get
JM = 3*tan(68°)/tan(51°)
JM ≈ 6.01
The radius of circle M is about 6.01.