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.
Answer:
Given that JN was bisected, JL ≅ LN
Given that KM was bisected, KL ≅ ML
∠JLK ≅ ∠MLN because of vertical angles.
∠JLK is contained by JL and KL.
∠MLN is contained by ML and LN.
Therefore ΔJKL ≅ ΔNML by the SAS postulate.
Step-by-step explanation:
The SAS postulate states that when you know two triangles have an equal angle, and that angle is formed by two sides that are equal in both triangles, the two triangles are congruent.
When a line is bisected, it means it was cut in two equal parts.
Since two lines were bisected and each form a side in the triangles, two sides are congruent.
The contained angles, ∠JLK and ∠MLN, are equal because of vertical angles. Vertical angles occur when two straight lines intersect. Angles that are opposite to each other are equal in all cases.
Standard error (SE)
Or
Therefore, SE of the mean = (8)/(2) =4
Answer:
The answer is 33.
Step-by-step explanation:
4x^2 + 13 - 2y, x=3 y=8
In order to evaluate this, you just need to plug the x and y in the expression:
= 4(3)^2 + 13 - 2(8)
= 4(9) + 13 - 16
= 36 + 13 - 16
= 33
Answer: 16 centimeters------nice computer by the way
Step-by-step explanation: addition
