Answer:
∠EFG=(3× 11.2+17)º = 50.6°
∠LMN= (12×11.2−5)º = 129.4°
Step-by-step explanation:
We know that if two angles are supplementary two each other sum of these two angles is equal to 180°.
It is given that ∠EFG and ∠LMN are supplementary angles.
Therefore, ∠EFG +∠LMN = 180°
Given that: ∠EFG=(3x+17)º and ∠LMN=(12x−5)º
⇒ (3x+17)º + (12x−5)º =180°
⇒ (15x+12)° = 180°
⇒15x = 168°
⇒ x = 168°/15
x = 11.2°
Then, ∠EFG=(3× 11.2+17)º = 50.6°
Also, ∠LMN= (12×11.2−5)º = 129.4°
Step-by-step explanation:
Hey there!
The midpoint formula is;

Where, (x1), (y1), (x2) and (y2) are the given coordinates.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
3.141592653589793, or pi, for short. ☺
Answer:
KL = 23
KM = 29
Step-by-step explanation:
By applying cosine rule in the given triangle KLM,
cos(∠M) = 
cos(52°) = 
cos(52°) = 
KM = 
KM = 29.24
KM ≈ 29
By applying sine rule,
sin(52°) = 
sin(52°) = 
KL = 29.24[sin(52°)]
= 23.03
≈ 23
KL = 23