9514 1404 393
Answer:
162 degrees
Step-by-step explanation:
Angles P and F are supplementary, so ...
3x^2 +12x = 180
x^2 +4x = 60
x^2 +4x -60 = 0
(x +10)(x -6) = 0
The useful value of x that makes this true is x=6.
The measure of angle Q is 3x, so is 3·6 = 18 degrees. The measure of angle S is the supplement to that:
∠S = 180° -18° = 162°
Given:
The graph of a system of inequalities.
To find:
The ordered pair which is a solution to the graphed inequality.
Solution:
The boundary lines are:
From the given graph it is clear that only point (3,1) lies in the shaded region.
Points (2,-1) and (4,0) lie on the boundary line but the boundary line is dotted. It means the points on the line are not in the solution set.
point (0,-1) does not belong to the shaded region.
Therefore, the correct option is A.
Hi there!! Well that net forms a pentagonal pyramid, because it has 5 sides. Hope that helps!! :)
Answer: 60
Step-by-step explanation:
Find the prime factor of 15
15 = 3 × 5
Find the prime factor of 20
20 = 4 × 5
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
4 × 3 × 5
LCM = 60
