We have:
Alternate angles are equal in measure, therefore:

Then, The angles E, JEA and 32° add up to 180° because they form a straight angle. So:

Answer: 43°
Yes, she is correct. If you plug 2 into the equation, you will see this:
(1/2)(2) -7
1-7
= -6
So, the pair of values is (2,-6). Emma is correct.
Answer:

Step-by-step explanation:
For this case we can use the figure attached and we are interested in order to find the value of x.
We have two similar triangles (DEC and ABC) and we can find the scale factor like this:

And now we can apply proportions in order to find the value of x using the two sides DE and BA, since we have the ratio between the triangle DEC and ABC we have this:

And solving for x we got:

And then the distance across the lake would be 2000 ft
Answer
rational
Step-by-step explanation:
it does repeat so it is irrational
Brainlist plz