Answer:
x = 7
Step-by-step explanation:
The inscribed angle (5x - 3) is equal to half the measure of the intercepted arc
5x - 3 = 0.5(9x + 1) ← multiply both sides by 2
10x - 6 = 9x + 1 ( subtract 9x from both sides )
x - 6 = 1 ( add 6 to both sides )
x = 7
What you do here is subtract g from f: x^2 - 5x + 8 - (x^2 -4); x^2 - 5x + 8 - x^2 + 4; Rearranging gives you x^2 - x^2 - 5x + 8 + 4 which is, simplified, -5x + 12
Answer:
What do you need help with?
Step-by-step explanation:
There are two answers to this question
the first possible answer is 5, 6, and 7 and the second possible answer is -4, -3, and -2
Step-by-step explanation:
let the three numbers be (x-1), x, and (x+1)
the product of the smallest and largest number is 17 more than 3 times the middle number, or
(x-1)(x+1) = 3x+17, or
x^2-1 = 3+17, or
x^2-3x-18 = 0
(x-6)(x+3) = 0
So x = 6 or -3
Then just subtract one and add one to get the other integers. the three numbers are 5, 6, and 7 or -4, -3, and -2
The interior angles of a triangle must add to 180 degrees.
110+5x+2x=180
110+7x=180
7x=70
x=10
Then plug in the x value into each angle expression
5(10)=50 degrees
2(10)=20 degrees
