Answer:
41.834
Step-by-step explanation:
The complete length of the boston marathon is 26 miles
A mile is 1.609 kilometers
Therefore the number of kilometers a runner needs to run to complete the race can be calculated as follows
= 26 × 1.609
= 41.834
Hence the runner needs to run 41.834 kilometers
Answer:
x = 130/3
Step-by-step explanation:
Given
5x - 80 = 2x + 50
Transpose
5x - 2x = 50 + 80
3x = 130
x = 130/3
Answer:
Given,
Diagonals are equal
AC=BD .......(1)
and the diagonals bisect each other at right angles
OA=OC;OB=OD ...... (2)
∠AOB= ∠BOC= ∠COD= ∠AOD= 90
0
..........(3)
Proof:
Consider △AOB and △COB
OA=OC ....[from (2)]
∠AOB= ∠COB
OB is the common side
Therefore,
△AOB≅ △COB
From SAS criteria, AB=CB
Similarly, we prove
△AOB≅ △DOA, so AB=AD
△BOC≅ △COD, so CB=DC
So, AB=AD=CB=DC ....(4)
So, in quadrilateral ABCD, both pairs of opposite sides are equal, hence ABCD is parallelogram
In △ABC and △DCB
AC=BD ...(from (1))
AB=DC ...(from $$(4)$$)
BC is the common side
△ABC≅ △DCB
So, from SSS criteria, ∠ABC= ∠DCB
Now,
AB∥CD,BC is the tansversal
∠B+∠C= 180
0
∠B+∠B= 180
0
∠B= 90
0
Hence, ABCD is a parallelogram with all sides equal and one angle is 90
0
So, ABCD is a square.
Hence proved.
Step-by-step explanation:
Answer:
Im pretty sure that would be 3/4!
Step-by-step explanation:
