The average has to be at least 120 and at most 130
To calculate the average we need the sum of all values divided by the number of values, in this case, three (135, 145 and the third result).
120 ≤ (135 + 145 + n)/3 ≤ 130
In inequalities like this, what we change in one side, must be changed in the othe rside as well.
360 ≤ 280 + n ≤ 390
80 ≤ n ≤ 110
<em><u>Explanation</u></em>:
The only information we have to go on is that ∠AWZ ≅ ∠XYC. However, these are not specific kinds of angles that can prove lines parallel. If we had a pair of alternate interior angles, such as ∠AWZ and ∠WZY, we could say that the lines are parallel. However, we do not have enough information.
we can have a triangle and we know that there are two angles.
30º and a 45º + 105 =180º angle. applying the sides.
therefore if we have the whole triangle completed we have a constant triangle.
so it tell us we can you’se SOH CAH TOA
we can varrify what kind of triangle we are using.
for example if we were to use Sin I would do
Sin 30/ 2 = sin of 105º/ A = sin=45º/ B
if you would want to solve for sin 30/2 and sin 105, then we solve.
or Sin 30/2 and Sin 105 as well.
with your calculator use sin= 30=.5 and use sin 105º a divide by 1.5 on both sides 1.5= A /sin 105º * 1.5 answer would be 3.86. a is = to 3.86 (Not the answer)
Answer:
$79.63
Step-by-step explanation:
You can figure this by estimating. 16% is a little less than 20%, which is 1/5. $497.69 is almost $500. So, 1/5 of that is almost $100, and a little less than that is about $80. The closest answer choice is $79.63.
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If you want to figure it exactly, you can do the multiplication ...
16% of $497.69 = 0.16 × $497.69 = $79.6304 ≈ $79.63
