For this case as MNOP is a square then the angles of each vertex are equal to 90 degrees.
Therefore, we have the following equations:

From these equations, we can clear the values of the unknowns.
For equation 1 we have:


For equation 2 we have:


Answer:
The values of t and f are given by:

Answer:
The probability that the pirate misses the captain's ship but the captain hits = 0.514
Step-by-step explanation:
Let A be the event that the captain hits the pirate ship
The probability of the captain hitting the pirate ship, P(A) = 3/5
Let B be the event that the pirate hits the captain's ship
The probability of the pirate hitting the captain's ship P(B) = 1/7
The probability of the pirate missing the captain's ship, P'(B) = 1 - P(B)
P'(B) = 1 - 1/7 = 6/7
The probability that the pirate misses the captain's ship but the captain hits = P(A) * P(B) = 3/5 * 6/7
= 0.514
Answer:
<h3>
The percentage is <u>
60%</u>
of the total amount paid with the gift card. </h3>
Step-by-step explanation:
Given:
Total worth of clothing is $178.25 and the amount paid with cash is $71.30.
Let us find the part of amount paid with the gift card:
Amount of gift card(G) = Total worth(T) - Amount paid in cash(C).

.
So, the amount paid with the gift card is $106.95.
Now, according to question:


%.
Therefore, the percentage is <u>60%</u> of the total amount paid with the gift card.
Answer:
The maximum number of volleyballs that she can buy is 19
Step-by-step explanation:
Let
x ----> the number of volleyballs
we know that
The cost of each volleyball net ($28) by the number of volleyball nets (4) plus the cost of each volleyball ($7) multiplied by the number of volleyballs (x) must be less than or equal to $250
so
The inequality that represent this situation is

Solve for x

subtract 112 both sides


Divide by 7 both sides

therefore
The maximum number of volleyballs that she can buy is 19
Answer:
ok thanks for ur care my friend have a wonderful day