Answer:
Statement: ∠XYZ = ∠ABC Reasons: Below
Step-by-step explanation:
For two angles to be complementary means that the sum of the two angles is equivalent to 90°. When an angle has one of those little squares, that means the angle is a right angle, or a 90° angle. Also, since it's given that line segment AB and line segment BC are perpendicular, this means the two lines/line segments cross each other at a right angle, which also proves that line segment AB and BC have a 90° angle.
5 minutes until 5, 60 minutes until 6, and 18 minutes until 6:18. that means it is 83 minutes
Answer:
Radius of the cone's base is 3x ....
Step-by-step explanation:
We have given that the volume of a cone is 3πx³
Height = x units.
The volume of a cone of radius r and height h units is given by:
V= 1/3 π r² *h
Simply plug the values given in the question into the above mentioned equation:
1/3πr²*x = 3*π*x³
1/3r²*x= 3x³
r² = 3*3*x³/x
r²=9x²
Taking square root at both sides we get:
√r² =√9x²
r = 3x
Thus the radius of the cone's base is 3x.
Answer:
Option B. 4
Step-by-step explanation:
The given expression is x² + 4x + -----
We have to find a number which can be added in the expression to make it a perfect square trinomial.
x² + 2(2x) + 2²
= (x + 2)²
Therefore, if we add 4 in the given expression it becomes a perfect trinomial.
Option B is the correct option.
Answer:
1
Step-by-step explanation:
5% of 20 is 1