Answer:
a) ∠BAC corresponds to ∠CDA
Step-by-step explanation:
We assume that the statement ∠BCA ≅ ∠CAD is supposed to mean ΔBCA ~ ΔCAD.
___
For any statement about correspondence to be true, the order of the vertex names in the statement must match the order of the vertex names in the similarity claim.
Here, the letters of ∠BAC are the 1st, 3rd, and 2nd letters of the name of the first triangle in the assumed similarity statement. The 1st, 3rd, and 2nd letters in the name of ΔCAD are C, D, A, so corresponding angles are ...
∠BAC and ∠CDA . . . . . matches answer choice A
_____
<em>Comment on the problem statement</em>
As written here, ∠C in the first triangle corresponds to ∠A in the second triangle. This tells you nothing about the relationships of the other angles or sides. That is why we have to assume a similarity statement is intended. Otherwise, the problem cannot be appropriately answered.
YOU DID NOT PROVIDE ANY NUMBERS
Answer:
if the worker has more experience, then they will have longer shifts because they will be better at their job and be able to complete more tasks.
Step-by-step explanation:
use and "if then because" structure in a hypothesis, and use common logic based on the info provided :)
4x is the slope (another word for the rate of change) of the equation above. (it's quite obvious if you know the formula and what the variable mean.) This is Slope-intercept form- y = mx + b. M is the slope and b is the y-intercept.
Now for the graph. This is quite simple to find the slope. The slope is also known as rise over run, meaning how many times it rises over how many times it goes to the side. Let's pick a point on the graph to count. Start at (0,2). Count the squares to the points where the line touches a corner of it. (sorry I'm not good at explaining. I hope you get what I mean.) So from the point (0,2) and count to the side and upwards. The rise (how many squares you went up) is 2, and the run (how many squares you went across) is 1.
(rise over run) rise is 2, and run is 1 so it's 1/2. Or just 2 because 2 ÷ 1 is still 2.
Hope it wasn't to complicating. Good luck!