Let the equal sides of the isosceles Δ ABC be x.
Given that the perimeter of Δ ABC = 50m.
Therefore, 2x + AC = 50 --- (1)
It is also given that the perimeter of Δ ABD = 40m.
Therefore, x + BD + AD = 40
BD is the median of the Δ ABC. Therefore, D is the midpoint of AC.
So AD = CD.
Or, AD = 
AC
Therefore, 
Multiply both sides by 2.
2x + 2BD + AC = 80
From (1), 2x + AC = 50.
Therefore, 2BD + 50 = 80
2BD = 80 - 50
2BD = 30
BD = 15m.
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Answer:
$2,615
Explanation:
The balance of $ 2,056 is a positive number,
The deposits of $ 875 is a positive number.
The withdrawal of $ 316 is a negative number.
Answer:
104degrees
Step-by-step explanation:
From the given diagram, line LJ bisects KN, hence arcKL = arcHJ
Given
arHJ = 4x
arc KJ = x+39
Equating both
4x = x+39
4x - x = 39
3x = 39
x = 39/3
x = 13
Since arcHK = arcHJ + arcKJ
arcHK = x+39+4x
arcHK = 5x+39
arcHK = 5(13) + 39
arcHK = 65+39
arcHK = 104degrees
Hence the measure of arcHK is 104degrees
Answer:
6 - 5d is an expression equivalent to -5d + 6 using the commutative Property of Addition.
Step-by-step explanation:
Commutative Property of Addition
We know that we can add two numbers in any order.
For example,
Let 'a' and 'b' be two numbers.
We can add 'a' and 'b' numbers in any order, such as
a + b = b + a
Thus,
a + b = b + a is represented using the commutative Property of Addition.
In our case,
-5d + 6 can be written or represented using the commutative Property of Addition, such as
-5d + 6 = 6 - 5d
It is clear that -5d + 6 can be written in any order such as 6 - 5d.
In other words, 6 - 5d is an expression equivalent to -5d + 6 using the commutative Property of Addition.
Therefore, 6 - 5d is an expression equivalent to -5d + 6 using the commutative Property of Addition.
