True by side angle side. You already have 2 congruent sides, so then do right angles congruence theorem to get the angles are congruent
10 percent of 11.50 is 1.15. Subtract that from 11.50 and you would get 10.35. The sale price would be $10.35
Answer: The answer is 
Step-by-step explanation: Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.
Let, AC = 3x and CM = 4x.
In the right-angled triangle ACM, we have
Now,
Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.
So,
Comparing equations (A) and (B), we have
Thus,
Use distributie property which is
a(b+c)=ab+ac
therefor
6x(x-4)=6x^2-24x
distribute the negative 1 infroont of the (9x-1)
-1(9x-1)=-9x+1
now we have
6x^2-24x-16x^2-9x+1
gropu like terms
6x^2-16x^2-24x-9x+1
add like terms
-10x^2-33x+1 is simplest form
You left it out, but I'm thinking that there must be an 'x' next to the '20.50' in the function. I'm so sure of it that I'll assume it, as I proceed to answer the question:
C(x) = 20.50x + 2,000
Subtract 2,000 from each side: C - 2,000 = 20.50 x
Divide each side by 20.50 : x = (C - 2,000) / 20.50
When C = $625,000 . . .
x = (625,000 - 2,000) / 20.50 = 623,000 / 20.50 = 30,390.2439
<em>30,390 complete units</em> are produced, and there are 5 bucks left over,
to split up among all the loyal employees who worked with such diligence and dedication to make it happen. The company's senior management will graciously add each worker's share to his gross pay before taxes for the second month following the close of the current quarter, with a photocopied note inserted in the pay envelope, expressing management's sincere thanks to everyone, an admonition not to spend it all in one place, and a reminder that no matter how many festivals to their god they need to go out to the desert to celebrate, their tally of bricks for the next quarter shall not be diminished.
