How many twelfths make one whole How many twelfths make one whole
2 answers:
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Answer:
x = 9
Step-by-step explanation:
when two lines intersect, it creates four angles. vertical angles are the angles that are opposite to each other. in the attached image, 1 & 3 are vertical angle pairs, and so are 2 & 4.
since vertical angles are always congruent, 3x - 8 is equal to 2x + 1
3x - 8 = 2x + 1
add 8 to each side
3x = 2x + 9
subtract 2x from each side
x = 9
check your answer:
3x - 8 = 2x + 1
3(9) - 8 = 2(9) + 1
27 - 8 = 18 + 1
19 = 19
Let's first take a look at function G. From the first to second row, the x-value increases by 2, and the y-value increases by 8.
Thus, function G has a rate of change of , or 4.
In function H, there is a "2" before the "x", which means function H has a rate of change of 2.
Thus, the statement that is true is:
- Function G has a rate of change of 4, and function H has a rate of change of 2
Let me know if you need any clarifications, thanks!
~ Padoru
Answer:
Step-by-step explanation:
We have the following expression:
As we can see, the second and the third term are mixed fractions, which are a combination of an integer and a fraction, and to convert it into an improper fraction and be able to solve the expression more easily, we must do the following:
Mixed fraction:
Converting Mixed fraction to improper fraction:
So, for both mixed fractions we have:
Then the expression is rewritten as:
Calculating the least common multiple (l.c.m) with the denominators, being the l.c.m=12:
Solving:
Hence: