To determine the lengths of the sides from shortest to longest, you need to calculate the corresponding angles. The higher angles will correspond to longer sides.
To find the angles, you have to solve for x. You’re already given that angle A is 76. To find the others, you know that angle C is 180-(16x+16) since it’s supplemental to the exterior angle. Then, you know the sum of the angles of the entire triangle is 180, so add up A, B, and C
A+B+C=180
76+6x+(180-16x-16)=180
240-10x=180
-10x=-60
x=6
So to find angle B, you use 6x or 6(6)=36.
To find angle C, you use 180-(16x-16) or 180-16(6)-16=68
So now match up the angles with their corresponding sides to find the length from shortest to longest.
Angle A (76) corresponds with BC
Angle B (36) corresponds with AC
Angle C (68) corresponds with AB
Again, the higher the degree, the longer the corresponding side, so AC is shortest, AB is next, and BC is the longest.
Answer: point
Step-by-step explanation:
Answer: Choice C) 1/3
------------------------------------------------
Explanation:
Two points on this line are (0,2) and (3,3)
Let (x1,y1) = (0,2) and (x2,y2) = (3,3)
We can use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(3 - 0)
m = 1/3
which is why the answer is choice C. The slope of 1/3 means that each time you rise 1 unit, you run 3 units to the right. In other words,
rise/run = 1/3
The answer is 6:9 because 4:6' equivalent is 2:3, which is the same as 6:9
The answer is, 0.6. To get that answer you have to divide 20 and 12. 20 is dividend, and 12 is tge divisor.
