Answer:
x=56 and the exterior angle is 116
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +4) form a straight line so they make 180 degrees.
y + 2x+4 =180
Solve for y by subtracting 2x+4 from each side.
y + 2x+4 - (2x+4) =180 - (2x+4)
y = 180-2x-4
y = 176-2x
The three angles of a triangle add to 180 degrees
x+ y+ 60 = 180
x+ (176-2x)+60 = 180
Combine like terms
-x +236=180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Multiply each side by -1
-1*-x = -56*-1
x=56
The exterior angle is 2x+4. Substitute x=56 into the equation.
2(56)+4
112+4
116
Answer:
As a fraction? If so, it would be 4/9.
Step-by-step explanation:
To find this answer, you must know that 8 and 18 can both be divided by 2. Which would be 4 and 9. Therefor, you have your answer: 4/9
Answer:
27 minutes to complete the painting of 4 walls
Step-by-step explanation:
since 16m with 9p --> 8 walls
x minutes with 4p --> 6 walls?
let x= minutes
6 walls painted=(8/144 walls painted per minute)x
simplify
x= 6 divided by (8/144)
x=108 minutes (to complete 6 walls)
108/4=
27 minutes to complete the painting of 4 walls
Answer:
Total distance = 53/4 miles = 13.25 miles
Step-by-step explanation:
Sage hiked from the start of the trail to Lookout Point.
Distance = 8 3/4 miles = 35/4 miles
She then hiked back to Giant Boulder
This means she traveled an additional
8 3/4 miles - 4 1/4 miles = 35/4 mi - 17/4 mi = 18/4 mi = 9/2 mi
The total distance traveled by sage is the sum of both trajectories
Total distance = 35/4 miles + 9/2 miles = 53/4 miles
Total distance = 13.25 miles
