Answer:
90 degrees
Step-by-step explanation:
the answer is 90 degrees because when the triangle is a right triangle, the two smaller angles equal 90 degrees.
Step-by-step explanation:
A vector is defined as an object which has got some value or magnitude and has a direction as well.
The vector =(0,0) is called the zero vector because it has zero length and no direction at all. The zero vector has an undefined direction.
The zero vector behaves same as the number zero and when added to any vector say "a", we get the answer as vector "a" which remains unchanged.
Given the table below comparing the marginal benefit Lucinda gets from
Kewpie dolls and Beanie Babies.
![\begin{tabular} {|p {2cm}|p {2cm}|p {2cm}|p {2cm}|} \multicolumn {4} {|c|} {Lucinda's Kewpie Doll and Beanie Baby Marginal Benefits}\\[1ex] \multicolumn {2} {|c|} {Kewpie Dolls}&\multicolumn {2} {|c|} {Beanie Babies}\\[1ex] 1&\$15.00&1&\$12.00\\ 2&\$12.00&2&\$10.00\\ 3&\$9.00&3&\$8.00\\ 4&\$6.00&4&\$6.00\\ 5&\$3.00&5&\$4.00\\ 6&\$0.00&6&\$2.00\\ \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cp%20%7B2cm%7D%7Cp%20%7B2cm%7D%7Cp%20%7B2cm%7D%7Cp%20%7B2cm%7D%7C%7D%0A%5Cmulticolumn%20%7B4%7D%20%7B%7Cc%7C%7D%20%7BLucinda%27s%20Kewpie%20Doll%20and%20Beanie%20Baby%20Marginal%20Benefits%7D%5C%5C%5B1ex%5D%0A%5Cmulticolumn%20%7B2%7D%20%7B%7Cc%7C%7D%20%7BKewpie%20Dolls%7D%26%5Cmulticolumn%20%7B2%7D%20%7B%7Cc%7C%7D%20%7BBeanie%20Babies%7D%5C%5C%5B1ex%5D%0A1%26%5C%2415.00%261%26%5C%2412.00%5C%5C%0A2%26%5C%2412.00%262%26%5C%2410.00%5C%5C%0A3%26%5C%249.00%263%26%5C%248.00%5C%5C%0A4%26%5C%246.00%264%26%5C%246.00%5C%5C%0A5%26%5C%243.00%265%26%5C%244.00%5C%5C%0A6%26%5C%240.00%266%26%5C%242.00%5C%5C%0A%5Cend%7Btabular%7D)
<span>If
lucinda has only $18 to spend and the price of kewpie dolls and the
price of beanie babies are both $6,
Lucinda will buy the combination for which marginal benefit is the same.
Therefore, Lucinda will buy </span><span>2 kewpie dolls and 1 beanie baby,</span><span>
if she were rational.</span>
The answer is (x - 10)(x - 9).
Alright, so here is my thought process as I factored this out.
The middle number, or second term, is the sum of the numbers within the parentheses after you factor. In this case, we had to get to -19.
Now, to figure out which two number are gonna add up to that, you need to figure out the factors of the last number in the equation, which is the constant. In this case, multiple choice tells us that 10 and 9 have got to be the factors of 90 we're looking for.
Now, back to the first step. We have the numbers 10, 9, and -19. The only way to make 10 and 9 add up to -19 is by making 10 and 9 both negative. So -9 and - 10.
Finally, you add the x's and the parentheses to make the lovely factored version of the equation: (x - 10)(x - 9)! :)