What is the length of the midsegment of this trapezoid? Enter your answer in the box. units Trapezoid A B C D on the coordinate
2 answers:
9514 1404 393
Answer:
9 units
Step-by-step explanation:
The top base has a length that is the difference between the x-coordinates of points A and B:
0 -(-11) = 11
The bottom base has a length that is the difference between the x-coordinates of points C and D:
-1 -(-8) = 7
The mid-segment has a length that is the average of the base lengths:
(11 +7)/2 = 18/2= 9 . . . units; midsegment length
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Answer:
(8,16) (0,22) (10,10)
Step-by-step explanation:
Let x represents the number of hours spent volunteering in school and y represents the number of hours spent volunteering outside of school.
Since each member must spend a minimum of 20 hours doing volunteer work each semester.
The equation forms : ....(1)
Also given is that the number of hours spent volunteering at school activities can be no more than twice the number of hours spent volunteering outside of school, then equation becomes:
.....(2)
So, lets check with each given pair, if they fulfill both equations:
(7,11): is not ≥ 20 - This is false.
(15,6): = 12 - This is false.
(8,16): which is ≥20 and
- This is true.
(12,5): 12 is not ≤ - This is false.
(0,22): and
- This is true.
(10,10): and
- This is true.
Answer:
The value of x is 6.
Step-by-step explanation:
Given:
∠TSQ = (5x + 3)°
∠RSQ = (10x - 27)°
SQ is the angle bisector of ∠ TSR
To Find:
x = ?
Solution:
Angle Bisector:
A line that splits an angle into two equal angles.
'Bisect' means to divide into two equal parts.
SQ is the angle bisector of ∠ TSR ....Given
∴
Substituting the values we get
The value of x is 6.