By the Pythagorean theorem
50^2 = x^2 +(x +34)^2
2500 = 2x^2 +68x + 1156
x^2 +34x -672 = 0
(x -14)(x +48) = 0
x = 14 or -48
The distance from the wall to the base of the ladder is 14 ft.
_____
7-24-25 is a Pythagorean triple. The dimensions here are double those values. It can be handy to know a few of the Pythagorean triples, as that can let you write down the answers to problems without having to go through the equations.
I am
aafakdhndhndhndhndhnsjk
Answer:
Angle-Angle-Side (AAS)
Step-by-step explanation:
Given triangles; ΔABD and ΔCBD
<A = <C =
(right angle property)
AB ║ DC (given)
Then,
DA ║ CB
<B ≅ <D (congruent property)
DB ≅ BD (similarity property)
<D + <B = <B + <D (complementary angles, and property of triangles)
Therefore by Angle-Angle-Side (AAS),
∆ABD ≅ ∆CBD
Babysitting for 8 hours and making $72.00 because of a better/greater amount of money
Answer:
y=20x+14, where:
y is the total amount you would pay for using the sailboat
x is the number of hours the sailboat is used
Step-by-step explanation:
An equation in slope-intercept form is set up as y=mx+b. From the information provided, the equation would indicate that the cost of renting the boat would be equal to the price per hour for the number of hours plus the cost of lifejackets and the equation in slope-intercept form that can be used is:
y=20x+14, where:
y is the total amount you would pay for using the sailboat
x is the number of hours the sailboat is used