ABCD is a parallelogram. AB>AD. Prove: m∠ADB>m∠BDC. Show your work (statement reason maybe?)
2 answers:
In the parallelogram ABCD, join BD.
Consider the triangle Δ ABD.
It is given that AB > AD.
Since, in a triangle, angle opposite to longer side is larger, we have,
∠ ADB > ∠ ABD. --- (1)
Also, AB || DC and BD is a transversal.
Therefore,
∠ ABD = ∠ BDC
Substitute in (1), we get,
∠ ADB > ∠ BDC.
Answer:
Step-by-step explanation:
Given that ABCD is a parallelogram and AB >AD
To prove that
let us join BD.
Consider triangle ABD. AB and AD are two sides that AB>AD
By triangle theorem we get
Since opposite sides are parallel, we find that AB and Dc are parallel lines with BD as transversal.
Hence (alternate angles)
It follow that
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Answer: a) 15 b)
Step-by-step explanation:
Let X be the number of days:
a)
For LESSONS:
Jordan does 10 / day ( 10*X)
Marco 5 / day ( 5*X)
Junyi 5 / day ( 5*X)
For TESTS:
Jordan does 5 / day ( 5*X)
Marco 10 / day ( 10*X)
Junyi 8 / day ( 8*X)
for each they need a total of 300
a) days for the lessons
b) days for the tests
so they need 15 days to finish both tasks
now if Junyi gets sick we just eliminate his contribution
a) days for the lessons
b) days for the tests
so in 20 days they will finish without him
If jordan works 10 hours a day, we just replace him with 10/24
a) days for the lessons
b) days for the tests
so at the end to complete both tasks they need 29.58 days
Answer:
100cm = 1m
Thus, one more step should be added to your working to arrive at the final answer:
Perimeter
= 10m 160cm
= 11m 60cm
This is because 160cm= 100cm +60cm, which is also equivalent to 1m 60cm.
Alternative working:
Convert all the units to cm first.
Length
= 5m 55cm
= 300cm +55cm
= 355cm
Breadth
= 2m 25cm
= 200cm +25cm
= 225cm
Perimeter
= 2(length +breadth)
= 2(355 cm +225 cm)
= 2(580 cm)
= 1160 cm
= 11m 60cm
From the second last step to the last step, you could divide 1160 by 100 to find how many meters are there. You would get a quotient of 11 and a remainder of 60. Since this 60 cannot be changed into meters as a whole number, we can leave it as 11m 60cm. Otherwise, it is also correct to leave it as 1160cm or 11.6m unless otherwise stated.
However, 10m 160cm is not preferred since the conversion of cm to m is done partially, as the 160 cm can still be further simplified.