Hey there...
The correct answer is (C) 105° and here's how I got it.
-3+18x+13+=180° (they are corresponding angles and sum upto 180°)
next step is collecting the like terms so we have 18x+13x-3-3=180°. which is the same thing as 18x+13x-6=180° so you add 6 to both sides and we'll have 18x+13x=186 so we solve for x by adding 18x to 13x which gives 31x then we divide so we have 31x/31=186/31 and x=6.
Plug in the values of x and the equation will give -3+18(6)= 105° and the angle happens to be a vertical angle so B= 105°.
Hope it helps :)
Answer: The slope is the cost per muffin and the intercept of 3 is the delivery charge.
Step-by-step explanation:
I will assume that the graph has total cost in dollars for the y axis and number of muffins on the x axis. A slope of 2 means that y will increase by 2 for every 1 increase in x. That means that the price of a single muffin is $2.
The intercept of 3 at x = 0, means that there is an upfront (delivery) charge of $3. One muffin would cost $2 for the muffin plus $3 for the delivery, for a total of $5.
10 muffins would cost $20 for the muffins plus $3 for the delivery, for a total of $23.
the idea behind the completion of the square is simply using a perfect square trinomial, hmmm usually we do that by using our very good friend Mr Zero, 0.
if we look at the 2nd step, we have a group as x² - x, hmmm so we need a third element, which will be squared.
keeping in mind that the middle term of the perfect square trinomial is simply the product of the roots of "a" and "b", so in this case the middle term is "-x", and the 1st term is x², so we can say that
so that means that our missing third term for a perfect square trinomial is simply 1/2, now we'll go to our good friend Mr Zero, if we add (1/2)², we have to also subtract (1/2)², because all we're really doing is borrowing from Zero, so we'll be including then +(1/2)² and -(1/2)², keeping in mind that 1/4 - 1/4 = 0, so let's do that.
Answer:
5485.83
Step-by-step explanation:
7114.66 + 1566.88 - 3200.21 - 10 + 14.5