Step-by-step explanation:
1. No: angles add to more than 180 deg.
2. Yes: each side's length is between the sum and difference of the lengths of the other two sides.
3. No: not every side's length is between the sum and difference of the lengths of the other two sides.
4. Yes: for example, place the 50 deg angle between the two given sides. Another side will then make the triangle.
5. Yes: for example, use 3 cm as the short leg in a 30-60-90 right triangle.
Answer:
(x-9)(x²+9x+81); it'll give a difference of cubes
Step-by-step explanation:
Generally, the difference of cubes formula is (a³-b³)=(a-b)(a²+ab+b²), and the third option is the only one which fits it; with "a"= x and "b"= 9.
*The sum of cubes formula is (a³+b³)=(a+b)(a²-ab+b²); for future reference.
Each friend will get approximately 66.6 centimeters of taffy
Answer:
Step-by-step explanation:
Angle BCA is inscribed in that circle. The rule is that the inscribed angle is half the measure of the arc it intercepts. The arc it intercepts is arc AB which measures 96 degrees. That means that
and
4x + 4 = 48 and
4x = 44 so
x = 11
Choice A is the one you want.
Answer:
c) 2
Step-by-step explanation:
a prime number is a number which is only completely divisible by 1 and itself