Answer:
see explanation
Step-by-step explanation:
∠1 and 170° form a straight angle and are supplementary, thus
∠1 = 180° - 170° = 10°
∠1 and ∠3 are vertical angles and congruent , thus
∠3 = 10°
∠2, 15° and ∠3 form a straight angle and sum to 180°, thus
∠2 = 180° - 15° - 10° = 155°
Thus
∠1 = 10°, ∠2 = 155°, ∠3 = 10°
Answer:
See below.
Step-by-step explanation:
Recall the equation for a circle:
, where (h,k) is the center and r is the radius.
We need to turn the given equation into the above format. We do this by completing the square.
First, group them:

For the first section, complete the square for
:


Do the same for the second:



All together:



The center is (-9,-7).
The radius is 
Answer:
C
Step-by-step explanation:
f(x) = Price
2.00 = Price of one ride
x = number of times ridden
f(x) = 2x
The correct answer is

In fact, this is a trinomial of the form

, whose solutions are given by

Using this formula for the trinomial of the problem, we find:

<span>we see that this trinomial has two coincident solutions (x=3 with multiplicity 2). This means that it can be rewritten as a perfect square, in the following form:
</span>

<span>
</span>