Answer:
\left(x+3\right)\left(x-9\right)
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
First you have to solve for x in the equation 2x + 9 = 23. Cancel 9 on both sides. You cancel 9 by subtracting 9 on the left side and on the right side:
23 - 9 = 14.
Now, you have 2x = 14. To isolate the variable, divide by 2 to cancel out 2.
14 / 2 = 7.
This will give you x = 7. Now that you know what x equals, you can substitute x in 3x. This would make it 3(7), or in other words 3 x 7.
3 x 7 = 21.
This means that 3x would be equal to 21. Hope it helps!
Answer:
76degrees
Step-by-step explanation:
Using the theorem which states that the vertex of the angle inside a circle is half the sum of the measured intercepted arcs. Hence;
Angle at the vertex = 53 degrees
Half the sum of intercepted arcs = 1/2(3x+3+10x-14)
Half the sum of intercepted arcs = 1/2(13x-11)
Equating to the vertex to find x
1/2(13x-11) = 53
13x - 11 = 2 * 53
13x - 11 = 106
13x = 106 + 11
13x = 117
x = 117/13
x = 9
For the arc 3x + 3
= 3(9) + 3
= 27 + 3
= 30degrees
For the arc 10x - 14
= 10(9) - 14
= 90 - 14
= 76degrees
Hence the measure of the larger of the two arcs is 76degrees
Using a system of equations, it is found that 225 adult tickets were sold for the school play.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of adult tickets.
- Variable y: Number of student tickets.
A total of 376 tickets were sold for the school play, hence:
x + y = 376 -> y = 376 - x.
There were 74 fewer students tickets sold than adult tickets, hence:
y = x - 74.
Then:
x - 74 = 376 - x
2x = 450
x = 450/2
x = 225.
More can be learned about a system of equations at brainly.com/question/24342899
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