Answer:
65°
Step-by-step explanation:
Radii CA and CB are perpendicular to tangent lines AT and BT, so
Since angle BAT is equal to 65°, angle CAB has measure
Consider triangle ACB. This triangle is isosceles, because CA=CB as radii of the circle. Two angles adjacent to the base are congruent, thus
The sum of the measures of all interior angles in triangle is always 180°, so
Angle ACB is central angle subtended on the minor arc AB, angle APB is inscribed angle subtended on the same minor arc AB. The measure of inscribed angle is half the measure of central angle subtended on the same arc, so
3x+17+5x=7x+10
Simplify:
3x+5x+17=7x+10
8x+17=7x+10
Get the variables on one side:
8x-7x+17=7x-7x+10
x+17=10
One-step equation:
x=-7
Answer:
-2+8n
Step-by-step explanation:
we can distribute the -2 inside the parentheses to find an equivalent expression.
-2(1-4n)
(-2)(1)+(-2)(-4n)
-2+8n
there's your answer!
Answer:
- x = 4 is the only real zero
Step-by-step explanation:
<u>Find the zero's of f(x)</u>
- 2x³ - 12x² + 20x - 16 = 0
- x³ - 6x² + 10x - 8 = 0
- x³ - 4x² - 2x² + 8x + 2x - 8 = 0
- x²(x - 4) - 2x(x - 4) + 2(x - 4) = 0
- (x - 4)(x² - 2x + 2) = 0
- (x - 4)(x² - 2x + 1 + 1) = 0
- (x - 4)[(x - 1)² + 1] = 0
- x - 4 = 0 ⇒ x = 4, we already know this
- (x - 1)² + 1 = 0 ⇒ (x - 1)² = - 1, no real solution as the square is never negative
