Answer: Both
Explanation: The triangles all have corresponding congruent angles. We can tell this by finding the third angle of the original problem: 96.
Then you can read each triangle by what it states. Angle A is congruent to the corresponding angles in the other triangles, which are Q and T. Angle B is congruent to the corresponding angles in the other triangles, which are R and U. Angle C is congruent to the corresponding angles in the other triangles, which are S and V.
We know heard similar since they have congruent angle measures in corresponding spots.
Answer:
The third side must be smaller than 20 inches and greater than 4 inches
Step-by-step explanation:
Let a, b and c be the lengths of triangle's sides. Then
Use this rule in your case. So, if a=12 and b=8, then
Hence, you get
From these inequalities, you can state that
So, c must be smaller than 20 inches and greater than 4 inches.
Answer:
114 cm2
Step-by-step explanation:
If I'm really it correctly, V = 5^3
v = s^3
s = 5
V = 5*5*5
V = 25*5 That's 2 fives multiplied together.
V = 125 cubic units.
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.
_____
Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.