Answer:
x = 10
Step-by-step explanation:
With UW extended to point X, then
∠VWX is an external angle of the triangle.
The external angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
∠VWX = ∠WUV + ∠UVX ← substitute values
6x - 19 = 3x + 3 + x - 2, that is
6x - 19 = 4x + 1 (subtract 4x from both sides )
2x - 19 = 1 ( add 19 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Answer:
7238 rounded to the nearest whole number.
Step-by-step explanation:
To find the volume of the sphere, we use the formula.

The radius will be 24 units ÷ 2 = 12 units.
Hence, the volume is

When entered in a calculator you'll get a result of 7238.23 cubic units in or 7238 rounded to the nearest whole number.
Answer:

Step-by-step explanation:
Given

Required
Find c
The question is incomplete. However, I'll assume the expression is a perfect square.
To find c, we make use of the following formula

Where

By comparison with 


So,
becomes



<em>The value of c that makes the expression, </em>
<em> a perfect square is 4 and the expression is: </em>
<em></em>
Answer:
Step-by-step explanation:
Here the average rate of change would be
f(6) - f(1) 162 - (-8)
a. r. of c. = ----------- = ------------------ = 154/5 = 308/10 = 30.8 or 30 8/10
6-1 5 or 30 4/5