Answer:
Step-by-step explanation:
Step 3:
Let LM = x
OK = KP = 12 units [Radii of circle K]
LN = LP = 8 units [Radii of circle L]
Therefore, KL = KP + PL
KL = 12 + 8
= 20 units
Step 4:
Since, ΔKOM and ΔLNM are the similar triangles,
By the property of two similar triangles, corresponding sides of these similar triangles will be proportional.


12x = 8(x + 20) [By cross multiplication]
12x = 8x + 160
12x - 8x = 160
4x = 160
x = 40
Answer:
commutative property
hope that helped, if yes give me brainliest and if no draw my attention by hitting the comment box.
Answer:
The savings of Sid and Tim will be in 17:9 in 6 weeks.
Step-by-step explanation:
Initial savings of Sid = £ 13
Initial savings of Tim = £ 0
For each successive week Sid saved = £ 3.5
For each successive week Tim saved = £ 3
Let us assume that after "x weeks" the amounts of Sid and Tim are in ratio 17:9.
If Sid saves £ 3.5 in one week, in x weeks he will £ 3.5x. Since he had £ 13 initially, total amount he would have in x weeks will be £ (13 + 3.5x)
If Time saves £ 3 one week, in x weeks he will save £ 3x. Since, he didn't have any money initially, in x weeks he would have saved £ 3x
The ratio of their savings in x weeks would be 17:9
So,
Sid's saving : Tim's saving = 17 : 9
Using the values of expressions, we get:

This means, the savings of Sid and Tim will be in 17:9 in 6 weeks.
Answer:
Step-by-step explanation:
The co-ordinates of the rectangle are:
A (8, 6)
B (-4, -10)
C (-8, -7)
D (4, 9)
The Area of Rectangle is Given by: <em>length x breadth </em>= AB x BC
Lengths of AB and BC can be found by distance formula
<em>length</em>(AB) =
= 
Similarly,
<em>length</em>(BC) = 5
Area of Rectangle = AB x BC = 20 x 5 = 100 square units
Answer:
65.8
Step-by-step explanation:
(2.6*4.7)/2=6.11
11*4.7=51.7
(4.7(17-(2.6+11)))/2=7.99
6.11+51.7+7.99=65.8