Answer: Choice A
7(10+9) = 70 + 63
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Explanation:
when we multiply 7 by 19, we start off multiplying just 7*9 = 63 so just focus on the units or ones digit of 19 to have it multiply with 7. We have 63 as the result so we write down "3" as part of the answer, and carry the 6.
Then you move onto the tens digit. The tens digit of 19 is 1. Multiply 1 by 7 and we get 7, which adds on to the carry digit 6 to get 7+6 = 13. Therefore we'll stick a 13 in front of the 3 we got earlier to end up with the final answer 133
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Using the distribution rule is much easier in my opinion
19 = 10+9
7*19 = 7*(10+9)
7*19 = 70+63
7*19 = 133
The idea is to multiply the outer 7 by each term inside the parenthesis
7*(10+9) = 7*10 + 7*9 = 70 + 63
So we multiplied the 7 by the 10 first to get 7*10 = 70
Then did the same for the 9 term as well 7*9 = 63
After those two multiplications, we add the results up: 70+63 = 133
Answer: Any of the following angles are <u>not</u> congruent to angle 5.
- angle 2
- angle 4
- angle 6
- angle 8
The only exception being that if angle 5 is 90 degrees, then so are the remaining four angles shown above (in fact, all 8 angles are right angles).
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Explanation:
Angles 2 and 5 are supplementary since line p is parallel to line r. This means angle 2 and angle 5 add to 180 degrees. The two angles are only congruent if both are right angles (aka 90 degree angles); otherwise, they are not congruent angles.
Angle 2 = angle 4 because they are vertical angles. So because these two angles are congruent, and angle 2 does not have the same measure as angle 5, this consequently leads to angle 4 also not being the same measure as angle 5 (unless both are right angles).
Angle 2 = angle 8 because they are alternate interior angles. Following the same logic path as the last paragraph, we see that angles 8 and angle 5 aren't the same measure. Or we could note that angle 5 and angle 8 form a straight angle, so they must add to 180 degrees. The two angles are only congruent if they were 90 degrees each, or otherwise not congruent at all.
Similar logic can also show that angle 6 is not congruent to angle 5.
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An alternative path is to find all the angles that are always congruent to angle 5 and they are...
- angle 1 (corresponding angles)
- angle 3 (alternate interior angles)
- angle 7 (vertical angles)
And everything else is not congruent to angle 5.
The formula for the total amount costumers pay is 20x+20 because 20* the number of days is 20x and then you have to add the 20 dollars for the service fee. The costumer paid less than 80 dollars so 20x+20, which is what the costumer paid, is less than 80. The answer is $20x+$20<$80.
The volume of a quadrangular base pyramid is:
V = (1/3) * (Ab) * (h)
Where,
Ab: base area
h: height
Clearing the area of the base we have:
Ab = (3 * V) / (h)
Answer:
An expression that represents the area of the base of the pyramid is:
A) 3v / h units
An acre requires 1.33 bushels of seed.
Thirty acres thusly require 30 times 1.33 bushels of seed.
So we have, 
bushels of seed.
Hope this helps.
