Please help if you know how to do Proofs in Geometry ! :')

1. Given

2. ∠LMO = 90° and ∠LMO = 90°

3. ∠LMO ≅ ∠LMO

4. Reflexive property of congruence

5. AA similarity theorem

Solution:

To prove:

Step 1: Given

Step 2: Definition of ⊥ (perpendicular),

Two lines are perpendicular if and only if they form 90°.

∠LMO = 90° and ∠LMO = 90°

Step 3: All right angles are ≅ (congruent).

∠LMO ≅ ∠LMO

Step 4: Reflexive property of congruence.

Any angle is reflexive to itself.

∠O ≅ ∠O

Step 5: By AA similarity theorem,

ΔLMO and ΔPNO are similar.

ΔLMO ΔPNO

Hence proved.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°