Answer:
∠b=82°
Step-by-step explanation:
143°=∠c+∠b (exterior angle property)
143°=61°+∠b
∠b=143-61
∠b=82°
9514 1404 393
Answer:
90 m²
Step-by-step explanation:
The given linear dimensions have the ratio ...
red/blue = (6 m)/(4 m) = 3/2
The ratio of areas is the square of the ratio of the linear dimensions:
(red area)/(blue area) = (3/2)²
S = (blue area)(9/4) = (40 m²)(9/4)
S = 90 m²
Answer:
see below
Step-by-step explanation:
Put -1 where x is in each expression and evaluate it.
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You will find that the expression is zero when the numerator is zero. And you will find the numerator is zero when it has a factor that is equivalent to ...
(x +1)
Substituting x=-1 into this factor makes it be ...
(-1 +1) = 0
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Evaluating the first expression, we have ...

This first expression is one you want to "check."
You can see that the reason the expression is zero is that x+1 has a sum of zero. You can look for that same sum in the other expressions. (The tricky one is the one with the factor (x -(-1)). You know, of course, that -(-1) = +1.)
Less, 78.01 has a one in the hundredths place, while 78.006 has a 0, and 0 < 1.