Answer:

Step-by-step explanation:
Let suppose that A, B, and C have the following points with respect to origin in the Euclidean space:



Besides, let consider that locations of A and B are currently known. The ratio is:


Vectorially speaking, expression can be rewritten in the following terms:


Now, each side of the equation is summed vectorially by
and coordinates of point B are finally found:

Answer:
Step-by-step explanation:
x/10=7
x=70
Answer:
The portion of the volume of the cup that is filled with water is 
Step-by-step explanation:
step 1
Find the volume of the paper water cup
The volume of the cone is equal to

we have


substitute


step 2
If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water
Remember that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
In this problem the similar cone has half the height of the complete cone
so
The scale factor is equal to 1/2
therefore
The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

therefore
The portion of the volume of the cup that is filled with water is

Answer:
y=22h+18, where h is the working hour, y is the charge
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
<u>Definition of parallelogram:</u> Parallelogram is a quadrilateral with two pairs of parallel sides.
<u>Definition of transversal (diagonal):</u> A line that cuts across two or more (usually parallel) lines.
<u>Definition of the same side interior angles:</u> These angles are located exactly as their name describes. They are "interior" (between the parallel lines), and they are on the same side of the transversal (diagonal).
<u>The same-side interior angles theorem</u> states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary
Statement Reason
1. ABCD is a parallelogram - Given
2.
- Definition of parallelogram
3.
is a diagonal of
and
- Definition of diagonal
4.
and
are the same side interior angles - Definition of same-side interior angles
5.
is supplementary to
- Same-Side Interior Angles Theorem