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Answer:
m∠DEC = 78°
Step-by-step explanation:
Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.
If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.
AC = AD (Given)
According to the angle sum property, the sum of interior angles of a triangle is 180°.
Divide both sides by 2.
CE bisects ∠ACD.
Use angle sum property in triangle CDE,
Subtract 102 from both sides.
Therefore, the measure of angle DEC is 78°.
Answer:
36
Step-by-step explanation:
Let number of m&ms Garry has be g
number of m&ms Larry has be l
Number of m&ms Jerry has be j
Since Gary has TWICE as Larry, we can write:
g = 2l
Also, Jerry has THRICE as Larry, we can write:
j = 3l
Together, they have 108, thus, we can write:
g + l + j = 108
Putting 1st and 2nd equation in 3rd, we can solve for Larry first. Shown below:
Larry has 18. To find Gary's number, we can use the fact g = 2l, so
g = 2 * 18 = 36
Gary has 36 m&ms