1. AD/DB=CE/EB
given
2. AD/DB+1=CE/EB+1
Addition Property of Equality
3. AD+DB/DB=CE+EB/EB
using common denominators
4. AB = AD + DB
CB = CE + EB
segment addition
5. AB/DB=CB/EB
Substitution Property of Equality
6.ABC DBE
Reflexive Property of Congruence
7. ABC ~ DBE
SAS similarity criterion
<span>8. </span>
Corresponding angles of similar triangles are congruent.
9. DE|| AC
<span>If the corresponding angles formed by </span>
Answer: the cost of the car is $54600
Step-by-step explanation:
Let x represent the cost of the car.
She pays a deposit equal to 20% of the cost of the car. This means that the amount of money that she paid as deposit would be
20/100 × x = 0.2 × x = 0.2x
The remaining balance would be
x - 0.2x = 0.8x
She will pay the balance in 8 equal payments of $5460 each month. This means that
0.8x/8 = 5460
0.1x = 5460
Dividing the left hand side and the right hand side of the equation by 0.1, it becomes
0.1x/0.1 = 5460/0.1
x = 54600
surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
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you have:
L = 7
W = a
H = 4
-----
formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
-----
answer is:
S = 22*a + 56 (equation 2)
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to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
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since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = 15
H = 4
-----
equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
-----
surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
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Answer:
They havo to go 55 miles per hour.
Step-by-step explanation:
Just divede thenumber of miles by the number of hours 220/4 = 55.
Check your answer: 55 miles per hour where would they be in 4 hours?
55 x 4 = 220 miles. There is your answer!
^Virtuoso helper^
Answer:
60° and 120° are supplementary angles. 93° and 87° are supplementary angles.
They are supplementary angles because they form an 180º angle together.
