Answer:
C
Step-by-step explanation:
Notice that there is a little triangle formed by the lines on the right side of the diagram.
Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.
Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.
Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:
2x - 23 = 84 + 43
Now we just solve for x:
2x - 23 = 84 + 43 = 127
2x = 127 + 23 = 150
x = 150/2 = 75 degrees
The answer is 75 degrees, or C.
Answer:
-3
Step-by-step explanation:
-5 1/2 + 6 3/4 - 4 1/4
= 1 1/4 - 4 1/4
= -3
Answer:
-1
Step-by-step explanation:
Answer:
7a+b-9c+17d
Step-by-step explanation:
-5 ( a-2b+3c -4d) - (-3) (4a -3b+2c-d)
Distribute
-5a+10b-15c+20d+12a-9b+6c-3d
Combine like terms
7a+b-9c+17d
Answer: 659 13/18 yd^2 or 659.7yd^2 ^ =squared
Step-by-step explanation:
This is the answer because you have 6 sides of this prism. That means 3 sides are parallel to the sides across from them. So, 12 1/2 yd by 8 1/3 yd is 104 1/6, then multiply by 2. That equals 208 1/3. Then, 10 5/6 yd by 8 1/3 yd is 90 5/18. then times by 2. That equals 180 5/9. Next, 10 5/6yd by 12 1/2 is 135 and 5/12. then times by 2 and that is 270 5/6yd.
add 208 1/3 + 180 5/9 + 270 5/6
659 13/18 yd^2
