All angle measure is preserved, therefore measure of A' is 115
The answer is 0.4167 Hope that helped :)
9514 1404 393
Answer:
x = √(w(w+z))
Step-by-step explanation:
The idea with a right-triangle figure of this sort is that all of the triangles are similar. Here, x is the short side of ∆ABC, and the hypotenuse of ∆BDC. This suggests you want to write a similarity statement involving the short side and hypotenuse.
BC/AC = DC/BC . . . . . short side/hypotenuse
BC² = AC·DC . . . . . . cross multiply
x² = (w+z)w . . . . . . substitute letter values
Taking the square root and rearranging to the form of the applicable answer choice, this is ...
Problem 33
For each number, generate a factor tree. This is where you break a number down into smaller factors in a visual "tree" like style. The idea is to factor down to the prime factors and then you circle the common primes between each number. The values you circle are then multiplied if you circle more than one value in each tree.
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Problem 34
Xiao factored correctly but didn't pull out the GCF. So he didn't factor fully. In the case of 60 and 90, the GCF is 30. This is the largest shared factor between the two values. So we can pull out 30 to get
60+90 = 30*2+30*3 = 30*(2+3)
I'm basically using the distributive property in reverse. You can distribute the 30 back in and get 60+90 again. Notice how the inner stuff 2 and 3 have no factors in common other than 1.
So the base is 72 area squared. You multiply 72 by the height, which is 9, giving you 648 area cubed.
Hope this helped!
