Answer:
93.1%
Step-by-step explanation:
Given:
ΔABC
ΔDEF
To find:
The length of median CP
Solution:
In ΔABC,
AP = 12, BP = 12 and PC = 3x - 12
In ΔDEF,
DQ = 16, QE = 16 and FQ = 2x + 8
If two triangles are similar, then their median is proportional to the corresponding sides.


Do cross multiplication.


Add 192 on both sides.


Subtract 24x from both sides.


Divide by 24 on both sides.
⇒ 12 = x
Substitute x = 12 in CP.
CP = 3(12) - 12
= 36 - 12
= 24
The length of median CP is 24.
Answer:
1) 36
b) 5
c) 3.0
Step-by-step explanation:
1) The recursive formula that defines the given sequence is

That means we keep adding 4 to the subsequent terms:
The sequence will be:
12,16,20,24,28,32,36,...
Therefore the seventh term is 36.
2) The sequence is recursively defined by;

This means, we have to keep subtracting 5 from the subsequent terms.
The sequence will be;
20,15,10,5,...
Therefore the fourth term is 5
3) The sequence is recursively defined by:
f(n+1)=f(n)+0.5
where f(1)=-1.5
This means that, the subsequent terms can be found by adding 0.5 to the previous terms.
The sequence will be:
-1.5,-1.0,-0.5,0,0.5,1,1.5,2.0,2.5,3.0,....
Therefore f(10)=3.0
Answer:
Part 1) Option C. Same side interior angles
Part 2) Option A. 
Part 3) Option B. 
Step-by-step explanation:
Part 1) we know that
If p and q are parallel
then
m<3 and m<5 are consecutive interior angles or Same side interior angles
and

Part 2) we know that
-----> by consecutive interior angles (supplementary angles)
we have that


so
substitute

Part 3) Find the measure of angle 5
we know that

Solve for x




substitute the value of x
