Answer: 244.95 feet
Step-by-step explanation:
This scenario forms the shape of a right angled triangle with the shadow length being the triangle's length and the distance between the end of the shadow to the top of the building being the hypotenuse.
Use Pythagorean theorem:
c² = a² + b²
250² = 50² + b²
62,500 = 2,500 + b²
b²= 62,500 - 2,500
b² = 60,000
b = √60,000
b= 244.95 feet
Answer:
Slope is 5/3
y-intercept = -3
y = 5/3x - 3
Step-by-step explanation:
To find the slope, take to coordinates and use the equation below
7-2 = 5
6-3= 3
Now you have your slope which is 5/3
Then take the slope and input it into point slope form to get your y-intercept.
y-y₁=m(x-x₁)
y-2 = 5/3(x-3)
y-2=5/3x-5
add two to both sides to get Y by itself
y = 5/3x - 3
now you have your y-intercept, which is -3
Then check your answer by inputing two different coordinates for X and Y
7 = 5/3(6)-3
7=7
12= 5/3(9)-3
12=12
Answer:
C. Yes, you can prove that x = 12
Step-by-step explanation:
My friend is correct because by the HL Congruence Theorem, ∆MNP is congruent to ∆MKL. The hypotenuse and leg of one right ∆ is congruent to the hypotenuse and corresponding leg of the other right ∆. So, enough information was given to prove that x = 12.
Answer:
C = 3
Step-by-step explanation:
By using the distributive property, we multiply 1 and 6c inside the brackets by -2. This gives us 3 -2 - 12c = -35. Next, we subtract 2 from 3, giving us 1 - 12c = -35. We will now subtract 1 from both sides, leaving us with -12c = -36, or simply 12c = 36. Finally, we divide by 12, giving us C = 3. I hope this helps!
