Let us observe the given figure,
When two lines intersect each other, the angles opposite to each other are Vertically Opposite Angles. Vertically opposite angles are always equal in measure.
As, we can observe that the given lines intersect each other, and they form vertically opposite angles as and
Therefore,
Substituting the given measures of the angles, we get
So, x =
Since, the measure of angle POR =
=
=
Therefore, the measure of angle POR is 49 degrees.
Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.
The volume of the piece can be calculated as,
It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,
This is the cost (in dollars) for 1 piece.
Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,
Thus, the total prototypes will cost around $60.75
Answer:
The number of cookies in the jar is 7.
If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12
Step-by-step explanation:
<em>Consider the number of cookies in the jar as 'x'. Hence the equation formed would be:-</em>
7(x) + 5 = 54
7x + 5 = 54
7x = 54 - 5
7x = 49
x =
x = 7
The number of cookies in the jar is 7.
If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12
<em>Hope this helps.</em>