As shown in the given figure
line a // line b ⇒ given
MR and NP are transversals
So, for ΔMOP and ΔRON , we can conclude the following
(1) ∠1 = ∠2 ⇒⇒⇒ alternative angles are congruent
(2) ∠ MOP = ∠ RON ⇒⇒⇒ vertical angles are congruent
(3) ∠ 4 = ∠ 3 ⇒⇒⇒ alternative angles are congruent
So, from 1,2 and 3
∴ ΔMOP <span>~ </span>ΔRON by AAA-Rule
Answer:
x = 5 and value of y = 2
Step-by-step explanation:
using substitution method
let;
x + 4y = 13...................... equation 1
x - y = 3............................... equation 2
from equation 2
x - y = 3.................................... eqn 2
x = y + 3.......................................... equation 3
put x = y + 3 in equation 1
x + 4y = 13...................... equation 1
y + 3 + 4y = 13
5y = 13 - 3
5y = 10
divide both sides by 5
i.e
5y/5 = 10/5
y = 2
sustitue for y = 2 in equation 3
x = y + 3.......................................... equation 3
x = 2 + 3
x = 5
therefore the value of x = 5 and value of y = 2
to check if your answwer is correct slot in the value of x and y in any of the equation . e.g
from equation 3
x = y + 3.......................................... equation 3
5= 2 + 3
5 =5....................... proved
Answer: A decimal fraction is a fraction whose denominator is 10,100,or some other multiple of 10.
Step-by-step explanation:
Answer:
3.3333333333333...
Step-by-step explanation:
5 (2/3) = 3.33333333333 (repeating decimal)
Also,
10 (2/3) = 6.66666666666666666 (repeating decimal)
6.66666666666666 / 2 = 3.33333333333333 (repeating decimal)
Answer:
steps below
Step-by-step explanation:
post here 16 and 17, should be able to do 18 and 19 yourself
16.
y=-8 for x≤-6
y=-1/4 x + 2 for -4≤x≤4
y=4 for x>4
17.
y=-x-4 for x<-3
y=x+1 for -3≤x≤1
y=-6 for x>4