Let the first number be = x
Then the second number = 2x
The third number = 2x - 5
Their sum = 55
This can be written in an equation as =
x + 2x + 2x - 5 = 55
= x + 2x + 2x = 55 + 5 ( transposing -5 from LHS to RHS changes -5 to +5 )
= x + 2x + 2x = 60
= 5x = 60
= x = 60 ÷ 5 ( transposing ×5 from LHS to RHS changes ×5 to ÷5 )
= x = 12
The first number = x = 12
The second number = 2x = 2 × 20 = 24
The third number = 2x - 5 = 24 - 5 = 19
Therefore , the three numbers are 12 , 24 and 19 .
Answer:
45°
Step-by-step explanation:
The acute angles of a right triangle are complementary. The base angles of an isosceles triangle are congruent. If x is the measure of the base angles, this requires ...
x = 90-x . . . . . the base angle is congruent to the other base angle
2x = 90 . . . . . add x
x = 90/2 = 45 . . . . divide by 2
The measure of a base angle of an isosceles right triangle is 45°.
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It can be useful to remember this fact.
Answer:
the answer is 9.2
Step-by-step explanation:
The volume of the original cone is multiplied by 27
<h3><u>Solution:</u></h3>
We have been given that the height and radius of a cone are each multiplied by 3.
We need to find what effect it has on the volume of the cone.
<em><u>The volume of the original cone is given as follows:</u></em>
Now, the radius and height are multiplied by 3.
Therefore, the new radius is ‘3r’ and the new height is ‘3h’.
Hence the new volume is
original volume of cone x 27 = volume of new cone
Therefore, the original volume of cone is multiplied by 27
