We consider the x- and y-coordinates separately. Let the coordinates of G be (x, y). Now considering the x-coordinates:
FG/FH = (x - (-3)) / (-3 - (-3)) = 2/3
x + 3 = (2/3)(6)
x = 1
For the y-coordinates:
FG/FH = (y - 2) / (7 - 2) = 2/3
y - 2 = (2/3)(5)
y = 16/3
Therefore the coordinates of G are (1, 16/3).
Answer:
The length of the longer ladder is 35 ft Step-by-step explanation: Please check the attachment for a diagrammatic representation of the problem We want to calculate the length of the longer ladder ; We make reference to the diagram Since the two right triangles formed are similar. the ratios of their sides are equal; Thus; 20/15 = 28/x + 15 20(x + 15) = 15(28) 20x + 300 = 420 20x = 420-300 20x = 120 x = 120/20 x = 6 So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides Let the hypotenuse be marked x x^2 = 28^2 + 21^2 x^2 = 1,225
x = √1225
x = 35 ft
Answer: Equation: 
or 
x is the cost of each shrub x = $10
Step-by-step explanation: Total bill = $62.50.
Subtract the cost of potting soil for $12.50 to find the cost of just the shrubs. 5x equals that amount
5x = 62.50 - 12.50
5x = 50 divide both sides by 5
5x/5 = 50/5
x = 10
Given:
To find:
The length of QR.
Solution:
We have,
Then, 
(CPCTC)
Divide both sides by 4.
Similarity,
(CPCTC)
Divide both sides by 2.
Now,
Therefore, the correct option is d.
