Answer:
x° = 79°
z° = 101°
Step-by-step explanation:
2/3x - 1/2 = 1/3 + 5/6x....multiply the entire equation by the common denominator of 6...this will get rid of the fractions.
6(2/3x - 1/2) = 6(1/3 + 5/6x) =
4x - 3 = 2 + 5x...subtract 5x from both sides
4x - 5x - 3 = 2...add 3 to both sides
4x - 5x = 2 + 3...combine terms
-x = 5...multiply by -1 to make x positive
x = -5
Answer:
x²-5x+6
Step-by-step explanation:
The question is to find product in : x(x-2)+3(2-x)-----------(a)
Make terms in brackets same by introducing a negative sign as;
Collect like terms as : x(x-2) - 3 (x-2)------------ (b)
Note that expression (a) is similar to (b)
Factorize equation (b) as : (x-3)(x-2)
Distribute as : x(x-2) -3 (x-2 ) ------ x²-2x-3x+6
Collect like terms as: x²-5x+6
Final expression : x²-5x+6
Testing with x=5 in original expression
x(x-2)+3(2-x)
5(5-2)+3(2-5)
25-10+6-15
25+6-10-15
31-10-15=6
Using the final expression;
x²-5x+6
5²-5(5)+6
25-25+6
=6
Answer:
<em>The answer to your question would be D.</em>
<em>D. Range: 20</em>
<em>Mean: 10</em>
<em>Median: 9</em>
<em>Mode: none</em>
Step-by-step explanation:
1, 2, 3, 8, 9, 12, 14, 20, 21
Range: 21 - 1 = 20
Mean: 1 + 2 + 3 + 8 + 9 + 12 + 14 + 20 + 21 = 90/9 = 10
Median: 9
Mode: there are no mode in the following given data set.