Answer:
m∠A = 20°
Step-by-step explanation:
Given that the sum of the angles of any triangle is 180°, adding the expressions of each angle and setting them equal to 180° will give the value of 'x' and allow you to evaluate the angles.
2x + 5x + 11x = 180
18x = 180
18x/18 = 180/18 or x = 10
m∠A = 2x or 2(10) = 20°
m∠B = 5x or 5(10) = 50°
m∠C = 11x or 11(10) = 110°
Out of the choices given, the only one that is true is that m∠A = 20°.
We are given expression: 
.
Square root in exponent form is power 
.
Therefore, 
.
Now, replacing square root of 16 by 
in original expression we are given, we get
.
Therefore,
<h3>
= 16 in simplest form. By the Power of Power rule,
. So,
must equal
in radical form.</h3>
<h3>
Answer: B. g(x) = f(x)+4</h3>
Explanation:
The graph shows that f(x) has the y intercept at -5. This is where the red line crosses the vertical y axis. More specifically, the y intercept is located at the point (0,-5)
We're told that g(x) has a y intercept at -1. So we must move f(x) 4 units up to go from y = -5 to y = -1. This is because -5+4 = -1.
Do this for every point on f(x) and you'll end up with g(x) = f(x)+4. Recall that y = f(x). So saying f(x)+4 is the same as y+4 to indicate "shift up 4 units".
f(x) and g(x) have the same slope, but different y intercepts. So they are parallel lines that never cross.
