The sum of the angles of a triangle is 180°. So you can do:
91° + (8x + 3)° + (10x - 4)° = 180° To find x, you need to isolate/get the variable "x" by itself in the equation. First combine like terms (terms that have the same variable and power/exponent]
91 + 3 - 4 + 8x + 10x = 180 (I rearranged for the like terms to be next to each other)
90 + 18x = 180 Subtract 90 on both sides
18x = 90 Divide 18 on both sides to get "x" by itself
x = 5
PROOF
91° + (8x + 3)° + (10x - 4)° = 180° Plug in 5 for "x"
91° + (8(5) + 3)° + (10(5) - 4)° = 180°
91° + (40 + 3)° + (50 - 4)° = 180°
91° + 43° + 46° = 180°
180° = 180°
we will select each options and find zeros
(a)
for finding x-intercept , we can set g(x)=0
and then we can solve for x
now, we can factor it
we get
so, this is TRUE
(b)
we can set it to 0
and then we can solve for x
we get
so, this is FALSE
(c)
we can set it to 0
and then we can solve for x
so, this is TRUE
(d)
now, we can set it to 0
and then we can solve for x
so, this is TRUE
(e)
we have
now, we can set it to 0
and then we can solve for x
so, this is FALSE
Multply across the fraction so
1/2 * 3/4= (1*3)/(2*4)=3\8
Tan(ANGLE) = Opposite Leg / Adjacent Leg
Tan(60) = Y/8
Y = 8 x tan(60)
Y = 8√3
Y = 13.9