Answer & Explanation:
A transversal is a line that intersects two or more coplanar lines at different points. Two angles are corresponding angles if they occupy corresponding angles. Two angles are alternate exterior angles if they lie outside the two lines on opposite sides of the transversal.
Answer:
Step-by-step explanation:
The area of a regular polygon is calculated using the formula;
where 
is the apothem and p is the perimeter.
It was given that, the apothem is, 
and the perimeter is 
We substitute into the formula to obtain;
To the nearest square inch, we have;
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
We have
that
Cost
use of a backhoe----------------------$300 an hour
<span> Estimate for equipment rental each week---------------------$18,400</span>
Total
hours operator per week--------------------------------------40
<span> 40*300</span>=$12000---------------------it
is the cost per week to use a backhoe
$12000<$18400 is ok
<span> The maximum of hours that I can rent </span>a backhoe <span> are 40 hours, since it is the limit of the
operator and it do not overcome the total budget </span>
Step-by-step explanation:
2y+3=5x-18
swap both sides
5x-18=2y+3
add 18 to both sides
5x-18+18=2y+3+18
5x=2y+21
divide both sides by
5x/5=2y+21/5
X=2y+21/5
