Answer:
1)54
2)The value of ac is 26
Step-by-step explanation:
1)______
2)Identify:
•ac
where,
Two diagonals of a rectangle are equal,
ac = DB
apply this property of rectangle to find the value of ac
Given:
•ac = 2x + 10
•db = 4x - 6
Solution:
ac = db
2x + 10 = 4x - 6
2x - 4x = -6 -10
-2x = -16
-2x/-2 = -16/-2
x = 8
Plugin the value of x in ac equation to find the value of ac
ac = 2x + 10
= 2(8) + 10
= 16 + 10
ac = 26
Check:
ac = db
2x + 10 = 4x - 6
2(8) + 10 = 4(8) - 6
16 + 10 = 32 - 6
26 = 26
This proves that the two diagonals of the rectangle are equal.
Answer:
The value of ac is 26
