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:
12.5663
Step-by-step explanation:
Answer:
x = 1/3
Step-by-step explanation:
Step 1: Write equation
8x + 11 = 14 - 1x
Step 2: Solve for <em>x</em>
- Simplify: 8x + 11 = 14 - x
- Add x to both sides: 9x + 11 = 14
- Subtract 11 on both sides: 9x = 3
- Divide both sides by 9: x = 3/9
- Simplify: x = 1/3
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
8(1/3) + 11 = 14 - 1(1/3)
8/3 + 11 = 14 - 1/3
41/3 = 41/3
