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Because the exponent is really just how many factors you have.
For example 2 to the power 5 would have 5 factors in expanded form.
Answer:
Y=5x
Step-by-step explanation:
The first the options aren’t even whole numbers
Answer
101 apples
Step-by-step explanation:
8 lbs x 16 oz = 128 oz
$28 / 128 oz = 22¢ per oz
$112 / 0.22¢ = 509 oz
509 oz / 5 oz = 101.8 apples
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).
Hello Ashley!
This is an isosceles triangle. How do we know? Well, the two little bar they put means that it is isosceles. When you add all the angles together, you MUST find them equal to 180. Another you need to keep in mind is that the angle that are face to face with each other are ALWAYS equal.
Too much talking...we gonna solve the problem.
x + x + 72 = 180
2x + 72 = 180
2x = 180 - 72
2x = 108
x = 108/2
x= 54
That's the answer .
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What did we say earlier? We said that when we add all the angles together we MUST find them equal to 180. So, we gonna replace x by 54
54 + 54 + 72 = 180
180 = 180
So.. yes we got it right!
54 is the correct answer.
Good luck with your studies!
