If C is between A and B then AC + CB = AB. always sometimes never
2 answers:
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Answer:
The value of y is 16.
Step-by-step explanation:
You have to substitute x = 2 into the equation :
Let x = 2,
Check the picture attached.
Let m(BAE)=m(ACD)=α
(BAE and ACD are congruent, since they are alternate interior angles, or Z angles)
Let m(ABE)=β.
So in triangle ABE, the measures of the angles are 90, α and β degrees.
This means that m(BCE)=β, since the 2 other angles of triangle BCE are 90 and α degrees.
thus, we have the similarity of triangles ABE and BCE,
so the following rations are equal:
so
so
(inches)
Remark, we can also apply Euclid's theorem directly.
Let m(BAE)=m(ACD)=α
(BAE and ACD are congruent, since they are alternate interior angles, or Z angles)
Let m(ABE)=β.
So in triangle ABE, the measures of the angles are 90, α and β degrees.
This means that m(BCE)=β, since the 2 other angles of triangle BCE are 90 and α degrees.
thus, we have the similarity of triangles ABE and BCE,
so the following rations are equal:
so
so
Remark, we can also apply Euclid's theorem directly.
So lets take a look at what we know:
5% of the tickets were discount
100% of the tickets is equal to 60 tickets
From this information we can create the proportion:
.
Cross Multiply to get
Divide 100 on each side to get
.
Three discount tickets were sold.
5% of the tickets were discount
100% of the tickets is equal to 60 tickets
From this information we can create the proportion:
Cross Multiply to get
Divide 100 on each side to get
Three discount tickets were sold.