Answer:
C
Step-by-step explanation:
Notice that there is a little triangle formed by the lines on the right side of the diagram.
Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.
Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.
Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:
2x - 23 = 84 + 43
Now we just solve for x:
2x - 23 = 84 + 43 = 127
2x = 127 + 23 = 150
x = 150/2 = 75 degrees
The answer is 75 degrees, or C.
Answer:
(2x-9)(2x+9)
Step-by-step explanation:
This is a difference of squares because it can be written as (2x)^2-9^2
The formula for factoring a difference of squares is a^2-b^2=(a-b)(a+b)
So replace a with 2x and b with 9 giving us
4x^2-81=(2x-9)(2x+9)
The answer is Side RQ corresponds to side QQ'. 100% sure and please feel free to ask more.
Answer:
Since Her goal is to earn $ 300 , but now she is earning only $270 ,Hence Celia will not achieve her goal .
Step-by-step explanation:
Given as :
The cost of each calendar = $ 9
The number of calendar sold to the family = 16
The number of calendar sold to the neighborhood = 14
So, Total number of calendar sold by Celia = The number of calendar sold to the family + The number of calendar sold to the neighborhood
i.e Total number of calendar sold by Celia = 16 + 14 = 30
∵ The cost of each calendar = $ 9
∴ The cost of 30 calendar = $ 9 × 30 = $ 270
Since Her goal is to earn $ 300 , but now she is earning only $270 ,Hence Celia will not achieve her goal . Answer
Answer:
The expression 6x should be 6x^2.
Step-by-step explanation:
Given is the chart of multiplication of the binomial by the trinomial.
Let's check each element in the chart:-
3x times x^2 = 3x^3
3x times 2x = 6x^2
3x times 4 = 12x
2 times x^2 = 2x^2
2 times 2x = 4x
2 times 4 = 8
From the given chart, we can identify that <u>6x should be 6x^2.</u>
Hence. option B is correct, i.e. The expression 6x should be 6x^2.