Answer: Value of CE = 6.
Explanation:
Since we have given that
AE=4
BE=3
DE=2
Let CE be x.
As we know that
When two chords intersect each other inside a circle, the products of their segments are equal.
Here, we can see that each chord is cut into two segments at the point of where they intersect.
So,
Hence, value of CE = 6.
Answer:
x = 10
Step-by-step explanation:
You know z = x+4, so ...
3z -x/2 = 37 . . . . . . . . the given relation
3(x +4) -x/2 = 37 . . . . substituting for z
5/2x +12 = 37 . . . . . . .eliminate parentheses and simplify
5/2x = 25 . . . . . . . . . . subtract 12
x = 10 . . . . . . . . . . . . . multiply by 2/5
_____
<em>Check</em>
3z = 3·14 = 42
x/2 = 10/2 = 5
42 exceeds 5 by 37 . . . . true
H(ft) = √ (13² - 4²) = 12.4
It is a right-angled triangle and the Pythagorean theorem applies.
THEOREMA (by Pythagoras):
Given a right-angled triangle ABCABC as in the figure, then the relation is valida2 + b2 = c2a2 + b2 = c2where cc is the hypotenuse of the triangle and b, ab, a are the cathets.
h(ft) = √ (13² - 4²) = 12.4