Answer:
Step-by-step explanation:
10) The opposite sides of a parallelogram are equal. It means that
a + 15 = 3a + 11
3a - a = 15 - 11
2a = 4
a = 4/2 = 2
Also,
3b + 5 = b + 11
3b - b = 11 - 5
2b = 4
b = 4/2 = 2
11) The opposite angles of a parallelogram are congruent and the adjacent angles are supplementary. This means that
2x + 11 + x - 5 = 180
3x + 6 = 180
3x = 180 - 6 = 174
x = 174/3 = 58
Therefore,
2x + 11 = 2×58 + 11 = 127 degrees
The opposite angles of a parallelogram are congruent, therefore,
2y = 127
y = 127/2 = 63.5
12) The diagonals of a parallelogram bisect each other. This means that each diagonal is divided equally at the midpoint. Therefore
3y - 5 = y + 5
3y - y = 5 + 5
2y = 10
y = 10/2 = 5
Also,
z + 9 = 2z + 7
2z - z = 9 - 7
z = 2
Answer:
It helps in common sense
Step-by-step explanation:
Answer: 4.25 inches of 4 and 1/4 inches.
Explanation: Use the information already given to you 1/4 of a inch = 8 ft. So if you have 4/4 of an inch that would equal one inch and one whole inch would equals 32 ft. ( 8 x 4 )Divide 136 by 32 and you’ll get your answer.
Answer: A≈78.54
Step-by-step explanation: A=πr2=π·52≈78.53982
Answer:
No (1,5) is not a solution
Step-by-step explanation:
if you try to solve this equation with the (1,5), you lay it out like 5 = 1/4 * 1 - 7. It turns into 5 = 1/4 - 7, because 1 times anything is that same number. Then you have to add 7 to both sides so that it cancels out on the right and you get 12 on the left. So you end up with the equation 12 = 1/4. This equation is not true, so therefore (1,5) is not a solution. Hope this helps :)
