Given that 2(-x + 4)=3 prove that x=5/2
1 answer:
You might be interested in
Answer:
Only the second and third statements are correct:
Doubling <em>r</em> quadruples the volume.
Doubling <em>h</em> doubles the volume.
Step-by-step explanation:
The volume of a cylinder is given by:
We can go through each statement and examine its validity.
Statement 1)
If the radius is doubled, our new radius is now 2<em>r</em>. Hence, our volume is:
So, compared to the old volume, the new volume is quadrupled the original volume.
Statement 1 is not correct.
Statement 2)
Using the previous reasonsing, Statement 2 is correct.
Statement 3)
If the height is doubled, our new height is now 2<em>h</em>. Hence, our volume is:
So, compared to the old volume, the new volume has been doubled.
Statement 3 is correct.
Statement 4)
Statement 4 is not correct using the previous reasonsing.
Statement 5)
Doubling the radius results in 2<em>r</em> and doubling the height results in 2<em>h</em>. Hence, the new volume is:
So, compared to the old volume, the new volume is increased by eight-fold.
Statement 5 is not correct.
Answer:
Therefore the value of x is 5.
Step-by-step explanation:
Given:
△ABC ≅ △DEF,
EF = x 2 - 7, and
BC = 4x - 2.
To Find:
the values of x. = ?
Solution:
△ABC ≅ △DEF ........Given
If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.
∴ BC ≅ EF ...................CPCTC
Substituting the values we get
Now By Factorizing we get
Therefore the value of x is 5.