Answer:
5.5 Hours
Step-by-step explanation:
Currently, the equation is 60=8.50h+13.25 and h stands for the hours that Sammie worked. So, you need to solve for h by first subtracting 13.25 (his tips) and getting the amount that he received for the hours that he worked.
You should now have 46.75=8.50h
Our final step, is to divide 46.75 by 8.50 to get h by itself and determine the total hours that Sammie worked.
In the end, you should come out with h=5.5, which means that Sammie worked 5.5 hours.
Answer:
The answer is 12a^3+2a²+23a+18 ....
Step-by-step explanation:
The given terms are:
(3a + 2)(4a² - 2a + 9)
Now multiply each value of second bracket with the first bracket:
=4a²(3a+2) -2a(3a+2)+9(3a+2)
=12a^3+8a²-6a²-4a+27a+18
Solve the like terms:
=12a^3+2a²+23a+18
Therefore the answer is 12a^3+2a²+23a+18 ....
The plan that cannot be used to prove that the two triangles are congruent based in the given information is: b. ASA.
<h3>How to Prove Two Triangles are Congruent?</h3>
The following theorems can be used to prove that two triangles are congruent to each other:
- SSS: This theorem proves that two triangles are congruent when there's enough information showing that they have three pairs of sides that are congruent to each other.
- ASA: This theorem shows that of two corresponding angles of two triangles and a pair of included congruent sides are congruent to each other.
- SAS: This theorem shows that if two triangles have two pairs of sides and a pair of included angle that are congruent, then both triangles are congruent to each other.
The two triangles only have a pair of corresponding congruent angles, while all three corresponding sides are shown to be congruent to each other.
This means that ASA which requires two pairs of congruent angles, cannot be used to prove that both triangles are congruent.
The answer is: b. ASA.
Learn more about congruent triangles on:
brainly.com/question/1675117
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