Total number of muffins = 12 muffins
Total number of people sharing muffin = 8
Muffins each person will receive = Total number of muffins
---------------------------------
People sharing muffins
= 12/8
= 1 1/2 OR 1.5 muffins
Answer:
A(7,5)
Step-by-step explanation:
This is correct because the area of a triangle is b × h = a.
The answer is b, infinite solutions
Answer:
ΔGJH ≅ ΔEKF
HL: GH and EF
SAS: FK and JH (or GH and EF)
ASA: ∠JGH and ∠FEK (or ∠EFK and ∠JHG)
ΔGFJ ≅ ΔEKH
SSS: KH and FJ
SAS: ∠KEH and ∠FGJ
Step-by-step explanation:
List whatever angles/sides need to be congruent for the two triangles to be congruent.
Prove ΔGJH ≅ ΔEKF using....
- HL (Hypotenuse + Leg)
We already have two legs that are congruent (EK and GJ), so we just need the hypotenuses (GH and EF) to be equal.
- SAS (Side + Angle + Side)
1 pair of sides (EK and JG) are equal, and m∠EKF = m∠GJH. So we need one more side. You can either use FK and JH or GH and EF.
- ASA (Angle + Side + Angle)
1 pair of angles (∠EKF and ∠GJH) are already given as equal, and 1 pair of sides (EK and GJ) are equal. We just need one more pair of angles. So either ∠JGH and ∠FEK or ∠EFK and ∠JHG.
Prove ΔGFJ ≅ ΔEKH using...
- SSS (Side + Side + Side)
Two pairs of sides (EK + GJ and EH + FG) are equal, so KH and FJ need to be equal.
- SAS (Side + Angle + Side)
FG + EH and KE + GJ are equal. We need to use the angle in between them to use SAS, so ∠KEH and ∠FGJ need to be equal.
As the picture highlights, the opposite sides have the same lengths. The perimeter is the sum of all lengths, so we have
Plug the required value for the perimeter and expand the right hand side:
Simplify the right hand side:
Add 36 to both sides:
Divide both sides by 12:
Now that we know the value for s, let's deduce the lengths of the sides:
