Converse (switch p and q)
If an angle is obtuse, then it measures 128°
This is false (a 127° angle is obtuse, but it does not measure 128°)
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Inverse (negations of p and q)
If an angle does not measure 128°, then it is not obtuse
This is false (a 127° angle does not measure 128°, but it is obtuse)
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Contrapositive (negations of p and q, then switch their places)
If an angle is not obtuse, it does not measure 128°
This is true (any 128° is obtuse; no exceptions)
Answer:
70
Step-by-step explanation:
a) Unit rate = 24 oz / 10lb = 2.4 oz / lb
This means that we need 2.4 oz of seasoning for every pound of crawfish
b) For 30 lbs....we need 30 * 2.4 = 72 oz of seasoning
c) With 36 oz of seasoning...we can cook 36 / 2.4 = 15 lbs of crawfish
Answer:
20 comic books
Step-by-step explanation:
Let us first <u>set up a variable</u>, x, for the number of books that Zoe has. If Jared has 12 more comics than Zoe, he would have x+12 books.
Given that Zoe and Jared have a total of 28 comic books, let us write an <u>equation</u> and solve for x:
Now that we have a <u>simplified</u> version of the equation, let us solve for x by <u>isolating the variable</u> on the left side:
We now know that x=8, and also that Jared has x+12 books. To find the number of comic books Jared has, let us <u>add</u> 12 to x:
Therefore, Jared has 20 comic books.
<em>I hope this helps! Please let me know if you have any further questions :)</em>
Answer:
We conclude that:
f(a) + 5 = a² + 8a - 5
Step-by-step explanation:
Given
The function is given by
f(x) = x²+8x-10
To determine
f(a)+5
In order to determine f(a)+5, first, we need to determine f(a).
Now substitute x = a in the function f(x) = x²+8x-10
f(a) = (a)² + 8(a) - 10
f(a) = a² + 8a - 10
Thus,
f(a) + 5 = (a² + 8a - 10) + 5
f(a) + 5 = a² + 8a - 5
Therefore, we conclude that:
f(a) + 5 = a² + 8a - 5
