Answer:In the following diagram, two parallel lines are cut by a transversal. What is the value of x x? Solution: The two angles 3x −15 3 x − 15 and 2x +7 2 x + 7 are equivalent. That is: 3x −15 = 2x +7 3 x − 15 = 2 x + 7
In the following diagram, two parallel lines are cut by a transversal. What is the value of x x? Solution: The two angles 3x −15 3 x − 15 and 2x +7 2 x + 7 are equivalent. That is: 3x −15 = 2x +7 3 x − 15 = 2 x + 7
Step-by-step explanation: : 3
For this case we must resolve each of the inequalities and find the solution set.
Inequality 1:

We subtract 7 from both sides of the inequality:

We divide between 12 on both sides of the inequality:

Thus, the solution is given by all values of x less than
Inequality 2:

We add 8 to both sides of the inequality:

We divide between 5 on both sides of the inequality:

Thus, the solution is given by all values of x greater than
The solution set is given by:
(-∞,
) U (
,∞)
Answer:
(-∞,
) U (
,∞)
Answer:
.25 .75
.44 .56
Step-by-step explanation:
To find the relative frequency, we take the part over the total.
Since this is a relative frequency table, the total for each row is 1
Group 1 A = 15/ (15+45) = 15/60 = .25
Group 1 B = 45/(15+45) = 45/60 = .75
Group 2 A = 20 /(20+25) = 20/45 =.44
Group 2B = 25/(20+25) = 25/45 =.56
303.875303.875303.875303.875303.875303.875303.875
10y+x²
10(5)+(2)²
10(5)+4
50+4
54
Therefore, the expression has a value of 54.