Answer:
x = 19
Step-by-step explanation:
Let's convert the given statements into algebraic expressions.
R is five more than twice x:
R = 2x + 5
S is one more than x:
S = x + 1
T is sixteen less than seven times x:
T = 7x - 16
Also, we know, the sum of 3 angles in a triangle is ALWAYS EQUAL to 180 degrees. Thus we can write:
R + S + T = 180
Substituting the expressions, we have:
2x + 5 + x + 1 + 7x - 16 = 180
Now we do algebra and simply solve for x. Shown below:

Hence, x = 19
Answer:
$418
Step-by-step explanation:
So first we need to find how much a single ticket will cost.
Subtract the service fee to get how much it cost for 8 tickets.
229-13=216
Then divide that number by 8 to find how much a single ticket costs.
216÷8=27
1 ticket costs $27.
Multiply that by 15 to get how much 15 tickets cost.
27×15=405
Then add back the service fee.
405+13=418
Answer:
The value of x = 9
Step-by-step explanation:
Given the angles of the triangle
We know that the sum of angles of a triangle is 180°.
Therefore,
(13x+2)° + (5x-7)° + (3x-4)° = 180°
13x+2 + 5x-7 + 3x-4 = 180°
21x + 2 - 11 = 180°
21x - 9 = 180°
21x = 180° + 9
21x = 189
divide both side sby 21
21x/21 = 189/21
x = 9
Therefore, the value of x = 9
Answer:
7cm²
Step-by-step explanation: