2^3x = 172
3x log 2 = log 172
3x = 7.4263
x = 2.475
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Answer:
c ≥ 56 is the REQUIRED INEQUALITY.
Step-by-step explanation:
Here, the given question is INCOMPLETE.
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.
Now, here:
The number of cans Xander needed to collect = At least 120
The number of items already collected = 64
c: the number of cans, c, that Xander must still collect.
Now, the number of cans to be collected - Cans already collected
= 120 - 64 = 56
So, the number of can he must collect to make a TOTAL OF AT LEAST 120 cans = 56 cans
⇒ The number of cans to be collected ≥ 56 cans
⇒c ≥ 56 cans
or, c ≥ 56 is the REQUIRED INEQUALITY.
1,6,7 are positive
2,9 are negative
3,4,5,8 are undefined
To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"
Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.
Now, we have to recall that:
- the base angles of any isosceles triangle are equal. This is a fact, and this means that the angles
- also the sum of all the angles in any triangle is 180 degrees
Now, considering the isosceles triangle OQR, we have that:
Now, since the figure already shows that angle 
Now, since we have established that the base angles 
we can now solve the above equation for m<2 as follows:
Therefore, the correct answer is: option D
