Answer:
Reason given in step 2. is incorrect. It should read; "Distributive Property."
Step-by-step explanation:
The reason given to go from :
2 (3x +4) = 56 to 6x + 8 = 56
is NOT "Multiplication Property of Equality" because one is not multiplying both sides of the equality by a number. The property that is being used is the Distributive Property on the left side of the equation in order to remove the grouping symbols (parenthesis) performing the implied multiplication of the external factor times each term of the binomial in parenthesis.
Answer:
x = 13
Step-by-step explanation:
Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:


Cross multiply:
8(x + 2) = 10 (x - 1)
8x + 16 = 10x - 10
Subtract 8x from both sides:
8x - 8x + 16 = 10x - 8x - 10
16 = 2x - 10
Add 10 to both sides:
16 + 10 = 2x - 10 + 10
26 = 2x
Divide both sides by 2:

13 = x
Verify whether x = 13 is the correct value:




This shows the proportional relationship between
, and that ΔNML and ΔPST are indeed similar right triangles.
Therefore, the correct answer is x = 13.
The two inequalities are :
option B and option C
Explanation:
Daniel moves no more than 30 of his sheep and goats into another field. This means the summation of sheep and goats will be at maximum 30.
that is why it is 
And more than 7 of his animals are sheep means sheep are greater than 7. that is why = 
Answer:
x/x+3
Step-by-step explanation:
first off, we start by factorizing.
we start with the numerator taking x out making it x (x-3) / x^2 - 9
then we factorize the denominator a bit more...making it x (x-3) / (x-3) (x+3)
as you can tell there is a (x-3) on both sides. so we can cross them out.
x/x+3 is left. try it yourself again so you can understand other questions like this! I hope I could help!