Answer:
lines EI and HG are parallel
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
In this problem
If triangles EFI and GFH are similar
then
substitute the given values
If lines EI and HG are parallel
then the triangles are similar by AA Similarity Theorem
therefore
lines EI and HG are parallel
Answer:
90% confidence interval between 118.64 ounces and 124.16 ounces
99% confidence interval between 117.13 ounces and 125.67 ounces
Step-by-step explanation:
The formula is
A=p (1+r/k)^kn
A future value?
P present value 500
R interest rate 0.05
N time 4 years
K compounded monthly 12
A=500×(1+0.05÷12)^(12×4)
A=610.45
Answer:
332 ft²
Step-by-step explanation:
A rectangular garden measures 33 ft by 46 ft. Surrounding (and bordering) the garden is a path 2 ft. Find the area of this path. Be sure to include the correct unit in your answer.
Solution:
The area of the rectangular garden = length * breadth = 33 ft. * 46 ft. = 1518 ft²
Since the path surrounding the garden is 2ft, the length of the path with the garden = 46 + 2 + 2 = 50 ft
The width of the path with the garden = 33 + 2 + 2 = 37 ft.
Area of the path with the garden = length * breadth = 50 ft * 37 ft = 1850 ft².
Area of the path = 1850 ft² - 1518 ft.² = 332 ft²
Answer:
The scale is of 1:6336000
Step-by-step explanation:
The scale is given dividing the distance on the map by the real distance, in the same unit.
Each mile has 63360 inches.
We have that:
Distance on the map: 1.8 in
Real distance: 180 miles = 180*63360 = 11404800 in
Scale:
We have that 11404800/1.8 = 6,336,000, so the scale is of
1.8:11404800 = 1:6336000
