The length of the KN is 4.4
Step-by-step explanation:
We know from Pythagoras theorem
In a right angle ΔLMN
Base² + perpendicular² = hypotenuse
²
From the properties of triangle we also know that altitudes are ⊥ on the sides they fall.
Hence ∠LKM = ∠NKM = 90
°
Given values-
LM=12
LK=10
Let KN be “s”
⇒LN= LK + KN
⇒LN= 10+x eq 1
Coming to the Δ LKM
⇒LK²+MK²= LM²
⇒MK²= 12²-10²
⇒MK²= 44 eq 2
Now in Δ MKN
⇒MK²+ KN²= MN²
⇒44+s²= MN² eq 3
In Δ LMN
⇒LM²+MN²= LN²
Using the values of MN² and LN² from the previous equations
⇒12² + 44+s²= (10+s)
²
⇒144+44+s²= 100+s²+20s
⇒188+s²= 100+s²+20s cancelling the common term “s²”
⇒20s= 188-100
∴ s= 4.4
Hence the value of KN is 4.4
Answer:
0.5×2/2=1/2 is the required fraction.
Answer:
C. 56
Step-by-step explanation:
252/4.5=56
Using the formula you can get this answer
Answer:
Beto and Mark
Step-by-step explanation:
When you simplify Beto's equation, you get 0=5 which is inncorrect. 5 does not equal 0 so there are no solutions. When you simplify Mark's equation, you get 6=2 which is also inncorrect. 6 can not equal 2. If you solve the other 2 equations you get answers that can work.
Sam would have to pay $510 to buy 5 shirts and 2 suck belts.
Step-by-step explanation:
Let,
Cost of one shirt = x
Cost of one belt = y
According to given statement;
6x+4y = 660 Eqn 1
x = 3y Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 22
Putting y=30 in Eqn 2
One shirt costs $90 and one belt cost $30.
Price of 5 shirts = 90*5 = $450
Price of 2 belts = 30*2 = $60
Total = 450+60 = $510
Sam would have to pay $510 to buy 5 shirts and 2 suck belts.
Keywords: linear equation, addition
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