Answer:
x = 10
Step-by-step explanation:
Since the triangles are similar the ratios of corresponding sides are equal
= 
, that is
= ( cross- multiply )
20(4x + 2) = 84x
80x + 40 = 84x ( subtract 80x from both sides )
40 = 4x ( divide both sides by 4 )
x = 10
Complete question is;
Jackson has to repaint some classroom bookcases. He has 2 gallons of paint. All the bookcases are the same size and each requires 2/5 gallon of paint. How many bookcases is he able to repaint with the amount of paint?
Answer:
5 books
Step-by-step explanation:
Jackson has 2 gallons of paint
Now, for us to find the number of bookcases the Jackson will be able to repaint if each bookcase requires 2/5 gallon, we will just divide 2 by 2/5
Thus;
Number of book cases Jackson will be able to repaint = 2 ÷ 2/5
Thus gives; 2 × 5/2 = 5 books
Answer/Step-by-step explanation:
Factor this. GCF=2
2(2cos2x+cos x-1)=0
2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve
2cos x -1=0 Add 1 to both sides
2cos x =1 Divide by 2
cos x =1/2
x=π/3
x=5π/3
cos x+1=0 Subtract 1 from both sides
cos x=-1
<u><em>x = π</em></u>
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