GM = 1/2(GH)
7x + 2 = 1/2(32)
...multiply 1/2
7x + 2 = 16
...subtract 2
7x = 14
...divide 7
x = 2
GM = 7(2) + 2 = 16
MH = GM, so it is also 16
Answer: The height of the tree is 12.57 ft.
Step-by-step explanation:
The height of a thing is proportional to the its shadow.
Let H = Height and S = length of shadow
Then by equation direct proportion , 
(i)
Given : A tree that casts a 22 ft shadow at the same time a 4 ft postpost casts a shadow which is 7-ft long.
Put 
in (i), we get
Hence, the height of the tree is 12.57 ft.
Answer:
The given information tells us that AFD is either an equilateral or isosceles triangle. We can see by the diagram that it is not equilateral, so the correct answer here would be the second one, "Isosceles".
Hello from MrBillDoesMath!
Answer:
Choice A, 1/4
Discussion:
Consider the perfect square
(x + a)^2 = x^2 + (2a)x + a^2
The constant term (a^2) equals 1/2 the coefficient of x (i.e. 2a), squared.
Let's apply this idea to x^2 + x
x^2 + x = => as 2 * 1/2 = 1
x^2 + ( 2 * 1/2)x =
( x^2 + (2* 1/2)x + ( 1/2) ^2 ) - (1/2) ^2 =
as constant term to add is 1/2 coefficient of x (that is, 1/2) and
(1/2)^2 - (1/2)^2 = 0
(x + 1/2) ^ 2 - (1/2)^2
In other words add the constant (1/2)^2 = 1/4, which is Choice A.
Thank you,
MrB
If two segments are both parallel to a third line they must be:
c. Parallel to each other
