Step-by-step explanation:
- (8x-38°)=90° {because of being vertically opposite angles}
- 8x-38°=90°
- 8x=90°-38°
- 8x=52°
- x=52°/8
- x=6.5°
- z°+90°=180° {being linear pair}
- z°=180°-90°
- z°=90°
Answer:
2x + y = -5 (which is Answer 1).
Step-by-step explanation:
The possible answer choices are all versions of the standard equation of a straight line: Ax + By + C = 0. If A and B are both positive, as they are here, then the slope is negative and has the form m = -A/B. Only the first answer choice passes here: with +2x and +1y, the slope is -2. This automatically eliminates the other possibilities.
Looking at the first answer choice, we see that A must be 2 and B must be 1
so that the slope is m = -2. Writing out this equation: Ax + By + C = 0.
Replace A with 2 and B with 1: 2x + y + C = 0.
Finally, replace x with -1 and y with -3: 2(-1) + (-3) + C = 0.
Solving this for C, we get -2 - 3 + C = 0, or -5 + C = 0, or C = 5.
We end up with 2x + y = -5 (which is Answer 1).
Given:
In trapezoid 
is the mid-segment of 
.
To find:
The length of 
.
Solution:
We know that the length of the mid-segment of a trapezoids is half of the sum of lengths of two parallel sides of the trapezoid.
In trapezoid 
,
Isolate variable terms.
Now,
Therefore, the length of is 230.
