Answer: The length of BC is 7
Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then
AB=DC and
AD=BC
Inputting the values of AB, DC and AD as given in the question:
x + 8 = 3x ...(1)
x + 3=? ...(2)
We have to solve for the value of x to get the actual lengths and thus ascertain BD.
From equation (1):
8 = 3x - x
8 = 2x
8/2 = x
Therefore, x = 4.
If x = 4 then equation(2) would be
4 + 3= 7.
Hence, the actual lengths of the quadrilateral are:
AB = 4 + 8. DC = 3(4)
=12. =12.
AD = 4 + 3. AD = BC
= 7. Therefore, BC = 7.
Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.
Answer:
1
Step-by-step explanation:
Set the height of the bar to 1 because there is only 1 number between 40-49 i.e. 49
Answer: 1012 calories
Step-by-step explanation:
Shannon burns 46 calories each hour while sleeping.
When she plays basketball, she burns 11 times as many calories as she does when sleeping. The amount of calories burnt when she plays basketball will be:
= 11 × 46
= 506 calories
She burns twice as many calories each hour when she runs than when she plays basketball. The amount of calories burnt when she runs will be:
= 2 × 506 calories
= 1012 calories
The amount of calories that Shannon burn when she runs for 1 hour will be 1012 calories
Time each dog spent sleeping during each of two conditions
