The <em><u>correct answer</u></em> is:
A.Angle Addition Postulate; Subtraction Property of Equality
Explanation:
The angle addition postulate states that if you place two angles side by side, then the measure of the resulting angle will be equal to the sum of the two original angle measures. This gives us m∠PQR+m∠SQR = m∠PQS.
The next missing justification is for the step that takes 2x+18=100 to 2x=82. In order to get here, we subtract 18 from each side; the property that allows this is the subtraction property of equality.
Answer:
116 degrees
Step-by-step explanation:
angle d looks obtuse, but not so obtuse, and the only obtuse option is 116 deg
Answer:
x = 4 ± 
Step-by-step explanation:
Given
(x - 12)(x + 4) = 9 ← expand the left side using FOIL
x² - 8x - 48 = 9 ( ad 48 to both sides )
x² - 8x = 57
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 57 + 16
(x - 4)² = 73 ( take the square root of both sides )
x - 4 = ±
( add 4 to both sides )
x = 4 ± 
Answer:
3 tiles left
Step-by-step explanation:
You can only use a maximum of 9 tiles to make a perfect square. You would need 7 more tiles to make a larger square. Having used 9 tiles, you will have 3 leftover. (12 - 9 = 3)
Hope I helped!
Answer: obtuse and scalene
Step-by-step explanation: