Answer:
3 < x < 8
Step-by-step explanation:
Solve each part separately
2x - 1 > 5 ( add 1 to both sides )
2x > 6 ( divide both sides by 2 )
x > 3 , that is
3 < x
and
3x - 5 < 19 ( add 5 to both sides )
3x < 24 ( divide both sides by 3 )
x < 8
Then putting the two together
3 < x < 8
Answer:
It should be option B
Step-by-step explanation:
Answer:
16,800 votes.
Step-by-step explanation:
In the singing competition 42,000 votes were counted.
The winner received 3/5 of the votes.
The part of the votes that the winner did not receive was 1 - 3/5 = 2/5
So the winner did not receive 2/5 of 42,000 votes which is equivalent to:
= 16,800 votes.
Answer:
a. ∆ABC ~ ∆A'B'C'
b. Enlargement
c. Scale factor = 4
Step-by-step explanation:
a. <A corresponds to <A'
<B corresponds to <B'
<C corresponds to <C',
Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'
b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.
c. Scale factor = the ratio of the corresponding sides
Thus:
Scale factor = A'B'/AB = B'C'/BC = A'C'/AC
Scale factor = 24/6 = 48/12 = 60/15 = 4
Scale factor = 4
15.
0.20*x = 0.01*x + 38 => 0.19*x = 38 =>( 19/100 )*x = 38 => x = 3800/19 => x = 200.
