Answer: 102°
Step-by-step explanation:
First and foremost, we should note that an isosceles triangle has two sides that are equal and that the sum of angles in a triangle equals to 180°.
Since we are told that the isosceles triangle has base angles that each measure 39°, the third angle will be:
t + 39° + 39° = 180°
t + 78° = 180°
t = 180° - 78°
t = 102°
The third angle is 102°.
Answer:
A
Step-by-step explanation:
Note the following 3 points with respect to a function given as y = f(x).
1. The function y = f(-x) is a reflection across the y-axis
2. The function y = f(x+a) is a horizontal translation a units left and y = f(x-a) is a horizontal translation a units right
3. the function y = f(x) + a is a vertical translation a units up and y = f(x) - a is a vertical translation a units down
Dissecting the transformed function of f(x) = ln (3-x) -2 w.r.t f(x) = ln x, we see:
<em>1. x is replaced with -x, so </em><u><em>reflection across y-axis</em></u>
<em>2. we have a horizontal shift in left side because the argument of ln is (3-x) or (-x+3)</em>
<em>3. We have vertical shift 2 units down because there is a -2 after the functional part of ln(3-x)</em>
<em />
Looking at the choices, A is the right answer.
Step-by-step explanation:
Given
( 6x² - x + 8 ) - ( x² + 2)
= 6x² - x + 8 - x² - 2
= 5x² - x + 6