Usually when the line is going down the slope will be represented as a negative number. Remember rise/run. The slope of this line would be -2/2. If it needs to be simplified it would be -1. If answer choices are all positive best bet would be 1! Hope this helps!
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).
Answer:
f(10)=342
Step-by-step explanation:
f(10)= 3(10)^2+6(10)-18
complete your exponet first and multiply 6(10)
f(10)=3(100)+60-18
multiply the 3(100)
f(10)=300+60-18
add and subtract all the numbers together
f(10)=342
Answer:
3 bags per weekday
Step-by-step explanation:
Total bags of leaves at the end of the week = 26 bags
Bags of leaves she fills over the weekend = 11 bags
Bags of leaves she fills during weekdays = x bags
Total bags of leaves at the end of the week = Bags of leaves she fills over the weekend + Bags of leaves she fills during weekdays
26 = 11 + x
Subtract 11 from both sides
26 - 11 = 11 - 11 + x
15 = x
x = 15 bags
If she fills the same number of bags with leaves on each of the 5 weekdays.
how many bags she filled each weekday.
Bags she filled each weekday = Total Bags of leaves she fills during weekdays / 5 weekdays
= 15 bags / 5 weekdays
= 3 bags per weekday
I think it is the second one. You did the lesson, what do you think? What is the reason you chose the third one?
