Step-by-step explanation:
option (4)
Answer: A
Step-by-step explanation:
Answer:
x = 15°
Step-by-step explanation:
<em><u>The segment is a diameter, So let us assume the part in which there lies the triangle as a semicircle.</u></em>
=> <em>A triangle inscribed in a semi-circle will always have one of its angle equal to 90</em>
=> <em>So the angle (not 75 and x) is 90 degrees.</em>
<em>=> To find the value of x, we'll subtract rest of the angles from 180 degrees (because the interior angles of a triangle add up to 180°)</em>
<em>So,</em>
=> x = 180-90-75
=> x = 15°
Q1. The answer is 4(2x - 3)(2x + 1)
16x² – 16x – 12 = 4 * 4x² - 4 * 4x - 4 * 3 =
= 4(4x² - 4x - 3) =
= 4(4x² + 2x - 6x - 3) =
= 4(2x * 2x + 2x - (2x * 3 + 3)) =
= 4(2x(2x + 1) - (3(2x + 1))) =
= 4((2x + 1)(2x - 3)) =
= 4(2x - 3)(2x + 1)
Q2. The answer is 3(x + 8)(x - 1)
3x² + 21x – 24 = 3 * x² + 3 * 7x - 3 * 8 =
= 3(x² + 7x - 8) =
= 3(x *x - x + 8x - 8) =
= 3((x(x - 1) + 8(x - 1)) =
= 3(x + 8)(x - 1)
