(2x - 3)² (squared) simplifies to 4x² - 12x + 9.
The Breakdown
(2x - 3)² = (2x - 3) × (2x - 3)
Using the FOIL method, which stands for First, Outer, Inner, Last, you multiply the terms as follows
First: (2x) × (2x) = 4x²
Outer: (2x) × (-3) = -6x
Inner: (-3) × (2x) = -6x
Last: (-3) × (-3) = 9
Collect the like term
4x² - 6x - 6x + 9
4x² - 12x + 9
(2x -3)²= 4x² - 12x + 9.
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The measure of angle O is 21 degrees.
The properties of the triangle are:
1. The sum of all the angles of a triangle (of all types) is equal to 180°.
2. The sum of the length of the two sides of a triangle is greater than the length of the third side.
3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
The sum of the interior angles in a triangle is 180 degrees. Therefore, we can find the measure of angle O by subtracting the measures of angles N and P from 180 degrees:
m∠O = 180° - m∠N - m∠P
We are given that m∠N = 137 degrees and m∠P = 22 degrees, so substituting these values, we get:
m∠O = 180° - 137° - 22°
m∠O = 21°
Therefore, the measure of angle O is 21 degrees.
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Complete question:
in a triangle npo If m∠n = 137 and m∠P = 22, what is m∠O?
The percentage of the number 84 which equals 9 is 75/7 percent.
Given the parameter:
"9 is what percent of 84"
To find what percent of 84 is 9, you can use the following formula:
Percent = (Part / Whole) × 100
Where:
Part = 9 (the smaller value you want to find the percentage of)
Whole = 84 (the larger value)
Now, plug in the values:
Percent = (9 / 84) × 100%
Simplifying we get:
Percent = (9 / 21) × 25%
Percent = (75/7)%
Therefore, 9 is 75/7 percent of 84.
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Answer:
x = -
Step-by-step explanation:
2 + + x =
Multiply through by 40 ( the LCM of 5 and 8 ) to clear the fractions
80 + 8x + 40x = 35
48x + 80 = 35 ( subtract 80 from both sides )
48x = - 45 ( divide both sides by 48 )
x = - = -