ABCD is a rectangle. The length of BD is 8 units, and m angle ABD is 67°. The length of AC is units, and m angle CDB is °.
2 answers:
Answer:
AC = 8 units
Angle CDB = 67°
Step-by-step explanation:
The given figure represents the data given.
From figure we can see that BD = AC
Length of AC = 8 units
We also have
∠ABD = ∠CDB
Angle CDB = 67°
See the attached picture to better understand the problem
we know that
in rectangle ABCD
AB=CD
and
AD=BC
therefore
the triangle ACD and triangle ABC are congruent
so
BD=AC
BD=8 units
the answer part a) is
BD= 8 units
Part b) Find angle CBD
we know that
∠ABD+∠CBD=90°---------> by complementary angles
so
∠CBD=90-∠ABD-----> 90-67----> 23°
∠CBD=23°
the answer Part b) is
∠CBD=23 degrees
we know that
in rectangle ABCD
AB=CD
and
AD=BC
therefore
the triangle ACD and triangle ABC are congruent
so
BD=AC
BD=8 units
the answer part a) is
BD= 8 units
Part b) Find angle CBD
we know that
∠ABD+∠CBD=90°---------> by complementary angles
so
∠CBD=90-∠ABD-----> 90-67----> 23°
∠CBD=23°
the answer Part b) is
∠CBD=23 degrees
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Answer:
The Distance cover by Brandy rod at slower speed of bike is 61.2 miles .
Step-by-step explanation:
Given as :
The total distance cover by Brady rode with bike = d = 70 miles
The total time taken by Brady rode with bike = 4 hours
The time taken for average speed of 17 mph = t hours
Let The time taken for average speed of 22 mph = (4 - t) hours
Let The distance cover for slower speed = d miles
<u>Now, From formula </u>
Distance = speed × time
So, Total distance cover = distance at slower speed + distance at faster speed
Or, 70 miles = 17 mph × t hours + 22 mph × (4 - t) hours
Or, 70 = 17 t + 22 × 4 - 22 × t
or, 70 = 88 + 17 t - 22 t
or, 22 t - 17 t = 88 - 70
or, 5 t = 18
∴ t =
i.e t = 3.6 hours
So, The time taken for average speed of 17 mph = t = 3.6 hours
And The time taken for average speed of 22 mph = (4 - 3.6) = 0.4 hour
So, Distance cover at slower speed = slower speed × time at slower speed
i.e d = 17 mph × 3.6 h
Or, d = 61.2 miles
So, Distance cover at slower speed = d = 61.2 miles
Hence, The Distance cover by Brandy rod at slower speed of bike is 61.2 miles . Answer