We have 2 equations here ( b = cost of bush and t = cost of a tree)
10b + 4t = 246........................................................(1)
5b + 3t = 147 Multiply this equation by -2:-
-10b - 6t = -294.......................................................(2)
Adding equations (1) and (2) we get:-
0 - 2t = - 48
t = -48/-2 = 24
Plug t = 24 into the first equation:-
10b + 4(24) = 246
10b = 246 - 96 = 150
b = 15
The answer is one bush costs $15 and one tree costs $24.
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Two Angles and the side between them are equal to corresponding Angles and side of another triangle ( one of the Angles are equal because of vertical opposite angle pair ), so the required congruency criteria to prove them equal is :
In an equilateral triangle all the sides are equal. This means that all the angles add up to 180 degrees.
Divide 180 by 3 and you get 60.
You want an exterior angle so you cut the angle in half ( it is now 30 )
Because the base and the line are parallel (form right angle if drew line connecting them) x is equal to
90-30=60
Answer:
Approach: Difference of Squares Pattern
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Step-by-step explanation:
The given binomial is:
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We can rewrite to obtain:
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This is a difference of two squares, so we will factor using difference of squares pattern.
Recall that:
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If we let
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and
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Then we can factor the given binomial to obtain:
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Answer:
Step-by-step explanation:
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