Answer:
A. x ≤ 
Step-by-step explanation:
-9x + 2 > 18 or 13x + 15 ≤ -4
-9x > 16 or 13x ≤ -19
x >
or x ≤ 
From the choices given, only x ≤
proves to be correct answer.
Answer:
B. (x + 16) + (6x − 4) = 180
Step-by-step explanation:
The Cyclic Quadrilateral Theorem states that for a quadrilateral in a circle, the opposite angles will equal 180 degrees. So therefore you can conclude:
∠A + ∠C = 180° which would be (x + 16) + (6x - 4) = 180°
∠B + ∠D =180° which would be x + (2x - 16) = 180°
Answer:
Step-by-step explanation:
we are given that given that 1/2T = 60 so T=120° so we also know R = 120 °
then W and S are also the same angle so 2z +240 = 360
2z = 120
z=60
W =60 °
S = 60 °
which makes sense b/c the small triangles also tell us that the sharp angles of the small triangles are 30 ° for the 30 , 60 90 triangle.
so by complementary angle we know that c = 60 °
we also know that a = 12 b/c all the small triangles are identical.
we also know that b= 90 ° also by complementary angle
we can also solve for length of SW and RT
cos(30)=adj / Hyp
12*Cos(30) = adj
12*
/2 = adj
but the adjacent side is 2 times for SW so
SW = 12 
for RT
sin(30) = Opp / hyp
12 * Sin(30) = Opp
12 * 1/2 = opp
but RT is times 2 again, sooo
RT = 12
you can also solve for the area of SRWT = 12 *12 = 144 units (what ever unties 12 is in) hmmm
That's all I can think of to solve for now :)
Easiest way is to find out first how many she runs in a week. For that you can multiply the number of hours she runs a weekday by 5. (3.2*5) That should be 16. Now, since you want to know how many miles she will run in a span of 6 weeks you must multiply it by 6 now. That is 96. Since you know that, let's move on to the weekends. It is 1.5 per weekend day or 3 per weekend. Now you have to multiply 3 by 6 because you want to know for six weeks. Since you have both your numbers now, 18 and 96, you can add them to make a final of 114.
Absolute value of a real number, is the distance between that number and 0 on a number line. Therefore the absolute value of 2 is 2 and negative 2