Answer:
Step-by-step explanation:
Each triangle is a right triangle, and all are congruent. So ...
90 -m∠CAB = (1/2)m∠CDA
90 -(4x +33) = (1/2)(12x +34)
57 -4x = 6x +17 . . . . . . . eliminate parentheses
40 = 10x . . . . . . . . . . . . .add 4x-17
4 = x
We also have ...
2m∠CAD = m∠BCD
2(3z +28) = 10z +28
6z +56 = 10z +28 . . . . . eliminate parentheses
28 = 4z . . . . . . . . . . . . . .subtract 6z+28
7 = z . . . . . . . . . . . . . . . . divide by 4
Since BC = CD ...
x = y = 4
The values of the three variables are ...
x = 4, y = 4, z = 7.
9514 1404 393
Answer:
functions: A, C; non-functions: B, D
Step-by-step explanation:
A relation is not a function if any input value (x) maps to more than one output value (y).
On a graph, we apply the "vertical line test." If any vertical line intersects two or more points on the graph, it is not a function. We say it fails the vertical line test. The bottom graph (D) fails the vertical line test, so is not a function.
On a mapping, such as figure B or C, any input (x-value) that is the source of two or more arrows means the relation is not a function. The map of B is not a function.
The other choices (A and C) show a functional relation.
7. Easiest method is substitution. Since y=x/2, then:
2x+3(x/2)=28
8.Substituting again, we get:
3x-6x=6
-3x=6
x=-2
(-2,6)
☺☺☺☺
Answer:
B
Step-by-step explanation:
The Central Limit Theorem (something to look up!) says as the sample size increases, the sample mean approaches the population mean.