Answer:
Option D. AC= 10 cm and CE= 5 cm
Step-by-step explanation:
From the given figure two triangles ΔABC and ΔADE are similar and two lines BC║DE.
From these similar triangles we know


Therefore 
Or AC=
Now from pythagoras theorem
AE = √(AD²+ED²) = √(12²+9²) = √(144+81) =√225 = 15 cm
Since we know side AC = 
= 
= 10 cm
Therefore AC = 10 cm and AE = 15cm and CE = (15-10) = 5 cm
Answer:
x = 
Step-by-step explanation:
<u>To solve quadratic systems,we always substitute one variable in terms if the other and then solve the equation.</u>
x + 2y = 6 ---------------(1)
y - 5 =
---------------(2)
y =
+ 5 ---------------(3)
Substitute (3) in (1) ,
x + 2(
+ 5 ) = 6
=
x + 2(
+ 5 ) = 6
--------------(4)
The roots of the quadratic equation
is
x =
-----------(5)
According to equation (5),solution of (4) is
x = 
x = 
x = 
We have that
<span>n (n-1) -4
for n=1
a1=1*(1-1)-4------> a1=-4
for n=2
</span>a2=2*(2-1)-4------> a2=-2
for n=3
a3=3*(3-1)-4------> a3=2
for n=4
a4=4*(4-1)-4------> a4=8
the answer is
-4,-2, 2, 8