Which of these could be two angles of a right triangle? (could be more than 1 answer) a. 20 degrees and 70 degrees b. 45 degrees and 45 degrees c. 75 degrees and 75 degrees d. 30 degrees and 60 degrees
A right triangle must have 1 90-degree angle. Since the sum of the angles of a triangle must always equal 180 degrees, the sum of the other two angles must equal 90 degrees. A, B, and D each add up to 90 degrees, so those choices are correct. C is incorrect, because the two degree measures do not add up to 90 degrees.
Complete the sentence with the correct word choice. Despite his wide smile, his eyes relayed a particular _______________. a. liveliness b. perplexity c. sorrow d. jubilance
The word 'despite' is a clue that the word in the blank must contrast with the word 'smile.' So, the blank must mean something sad. 'Jubilance' and 'liveliness,' therefore, must not be correct. 'Perplexity' means confusion, so it doesn't fit either. C, 'sorrow,' is the correct choice.
Use the order of operations to solve: 14 + 4(2+1)^2 - 4
Start by doing all the math in parentheses. 2 + 1 = 3. 14 + 4(3)^2 - 4 Next, apply the exponent. 3^ = 9. 14 + 4(9) - 4 Now, do the multiplication and division from left to right. 4 x 9 = 36, so 14 + 36 - 4 Lastly, do the addition and subtraction from left to right. 14 + 36 = 50, so 50 - 4 = 46. The final answer is 46.