In the diagram below, ABC~ DEC. What is the value of x?
1 answer:
The value of x will be 3
From given diagram, triangle ABC and EDC meet at a common vertex C.
So, triangle ABC and EDC both are congruent to each other.
Applying the similarity property of congruence, ratio of the congruent triangles' corresponding sides will be equal.
Therefore,
Simplifying the expression,
We get
(18-x)/x = 25/5
(18-x)/x = 5
18-x = 5x
18-x-5x = 0
18 - 6x = 0
- 6x = -18
x = 3
Hence, the value of x is 3.
Learn more about congruent triangle here:
#SPJ10
You might be interested in
Answer:
400(π+2) feet square
Step-by-step explanation:
let x be the diagonal of the cage=40√2 at the same time it is the radius of the circle ( the tiger can go in circle)
but since the cage is part of the circle and not full turn πr²/8
area of the circleπr²+ half area square
(π(40√2)²)/8 +40²/2
3200π/8+1600/2
400π+800
400(π+2) feet square
We could do it by first writing
so that
and since , we have
# # #
Alternatively, we can just compute the product and take it mod 4:
and so we get the same result of 1.