Answer:
p = -15
Step-by-step explanation:
-2 = (p+9)/3 multiply both sides by 3 to get rid of fraction
-6 = p + 9 subtract 9 from both sides
-15 = p
This is your perfect answer
9514 1404 393
Answer:
96 yards
Step-by-step explanation:
The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.
The diagonal is the hypotenuse, so we have ...
100² = 28² + w²
w = √(10000 -784) = 96
The width of the park is 96 yards.
_____
<em>Additional comment</em>
The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).
You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.
I’ll be happy to help!
Since a right angle is equal to 90 degrees, we can add the 67+90 which equals 157, so since a triangle is equal to 180, we can subtract 180-157.
180-157= 23
The answer for x is 23!
