Answer:
x=108
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠RQS≅m∠QLK -----> by corresponding angles
m∠KLM+m∠QLK=180° -----> by supplementary angles (consecutive interior angles)
we have that
m∠RQS=x° ----> given problem
so
m∠QLX=x°
m∠KLM=(x-36)° ----> given problem
substitute
Answer:
Correct option: third one -> 11.5 m3
Step-by-step explanation:
To find the volume of the ramp, first we need to find the volume of the rectangular prism and the volume of the triangular prism:
V_rectangular = 4m * 2m * 1m = 8 m3
V_triangular = (2m * 3.5m * 1m) / 2 = 3.5 m3
Now, to find the volume of the ramp, we just need to sum both volumes:
V_total = V_rectangular + V_triangular = 8 + 3.5 = 11.5 m3
Correct option: third one.
First you need to divide 7 and 15, and the answer you get is 8, so 8+7=15. 8 will be your answer.
Answer:
I guess we have the table:
x f(x)
-4 7
-2 5
0 3
2 1
4 - 1
To find the slope of this, we need to select two different points (x1, y1) and (x2, y2) and use the relation:
slope = (y2 - y1)/(x2 - x1)
let´s use the first two:
(-4,7) and (-2, 5)
Slope = (5 - 7)/(-2 - (-4)) = -2/2 = -1
Now, if we want to be sure that this is a linear equation, we should do the same for other two pairs of points, now use the first and the third:
(-4, 7) and (0,3)
S = (3 - 7)/(0 -(-4)) = -4/4 = -1
Now, for the function g(x) we can see a constant line, that is parallel to the x-axis.
This means that the slope of this function is equal to zero.
This means that the slope of g(x) is bigger than the slope of f(x), because 0 > 1
