Answer:
1.) 7. (7 x 7 = 9)
2.) IDK, sorry
3.) 8/27
Apply the product rule to 2/3
2^3/ 3^3
Raise 2 to the power of 3.
8/27
4.) 9
1. Exponentiation: 3 ^ 4 = 81
2. Exponentiation: 3 ^ (-2) = 0.111111111111 = 1/9
3. Multiple: the result of step No. 1 * the result of step No. 3 = 81*1/9 = 81 · 1/1 · 9 = 81/9 = 9 · 9/1 · 9 = 9
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(81, 9) = 9. Cancelling by a common factor of 9 gives 9/1.
In words - eighty-one multiplied by one ninth = nine.
4. Exponentiation: 3 ^ 0 = 1
5.Multiple: the result of step No. 4 * the result of step No. 5 = 9 * 1 = 9
5.) 1/125
5 ^ (-3) = 0.008 = 1/125
6.) IDK, sorry
Answer:
A sequence of transformation can move two congruent figures to the same place (vertical / horizontal shifts). This causes them to perfectly overlap, proving their congruency.
A sequence of transformations can be used to show that something is similar, because if one were to transform a figure with only shrinks / stretches, one can shrink / stretch them to make them congruent. If only shrinks or stretches were done, and if the result of the transformation is congruent to the other figure, then the figures are similar (sides are proportional and shrinking/stretching them proves proportionality to other figure).
The inequality is 9 ( t + 5 ) < 6.
In mathematics, an inequality is a relation that makes a non-same comparison between two numbers or different mathematical expressions. It is used most often to examine numbers on the quantity line by using their length.
Inequality, In mathematics, is a declaration of an order relationship—greater than, extra than or same too, much less than, or much less than or identical to—between numbers or algebraic expressions.
The definition of inequality is a difference in length, amount, exceptional, social function, or another component. An instance of inequality is if you have ten of something and a person else has none.
Let t be the number.
We know that,
The phrase "5 more than a number t" is equal to adding the number t and 5
(t+5)
The phrase "the product of 9 and the quantity 5 more than a number t" is equal to multiplying 9 by (t+5)
9(t+5)
Less represent the symbol " < ".
Therefore,
The inequality that represents this problem is 9(t+5) < 6.
Learn more about inequality here brainly.com/question/11613554
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Make use of the fact that side lengths in similar triangles are proportional.
.. 30/18 = (20 +x)/20
.. 20*(30/18) -20 = x . . . . multiply by 20, subtract 20
.. 33 1/3 -20 = x . . . . . . . . evaluate the product
.. 13 1/3 = x
Answer:
c
Step-by-step explanation:
