When you factor this problem you get:
(3x+5)(x+10)
Answer:
x=25
Explanation:
Using the method of cross multiplication and division set up like so,
(100•4.5)/18 will give you 25.
4.5•100=450
450/18=25
Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".
Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.
Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3
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To summarize so far, we have these three facts
- angle CAB = angle CAD
- AC = AC
- angle ACB = angle ACD
in this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.
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Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.
It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).
If you would like to know what is f(2), you can
calculate this using the following steps:<span>
f(0) = 2
f(n+1) = - 2 * f(n) + 3
f(1) = - 2 * f(0) + 3 = - 2 * 2 + 3 = - 4 + 3 =
- 1
f(2) = - 2 * f(1) + 3 = - 2 * (-1) + 3 = 2 + 3 =
5
The correct result would be f(2) = 5.</span>
Answer: The triangles are reflected across the line y = x
Step-by-step explanation:
I used wolfram to calculate it for me. I used the bottom right point of the triangle.
