Write the fraction in simplest form 5/5
2 answers:
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Answer: x= 8.
Step-by-step explanation: Given equation -3(2x-3)=25-8x.
Step 1: We have -3 in front of (2x-3). We always simplify a parenthesis first.
Therefore, applying Distributive property in first step, we get
-6x +9 = 25-8x.
Step 2: We need to get rid 9 from left side to get constant numbers on right side.
9 is being added on left side.
So, we would apply reverse operation of addition.
Therefore, applying Subtraction property of equality, we get
-6x +9-9 = 25-8x-9
-6x =16 -8x.
Step 3: We need to get rid 8x from right side.
The reverse operation of subtraction is addition.
Therefore, applying Addition property of equality, we get
-6x+8x =16 -8x+8x
2x = 16.
Step 4: We need to isolate it for x.
So, applying Division property of equality, we get
Answer:
132 mm^2
Step-by-step explanation:
The line added to the figure in the attachment shows it can be divided into two figures whose area is easily calculated.
1. A parallelogram of base length 20 mm and height 4 mm:
A = bh = (20 mm)(4 mm) = 80 mm^2
2. A trapezoid with bases 32 mm and 20 mm, and height 2 mm:
A = (1/2)(b1 +b2)h = (1/2)(32 mm +20 mm)(2 mm) = 52 mm^2
The total area of the figure is then ...
80 mm^2 +52 mm^2 = 132 mm^2
