If EF bisects angle CEB, angle CEF=7x + 21 and angle FEB = 10x - 3, find the measure of DEB.

DEb = 26°

Step-by-step explanation:

Given information

CEF = 7x + 21

FEB = 10x - 3

Given expression deducted from the definition of the bisector

FEB = CEF

Substitute values into the expression

10x - 3 = 7x + 21

Subtract 7x on both sides

10x - 3 - 7x = 7x + 21 - 7x

3x - 3 = 21

Add 3 on both sides

3x - 3 + 3 = 21 + 3

3x = 24

Divide 3 on both sides

3x / 3 = 24 / 3

x = 8

Find the sum of the angle of CEF and FEB

 7x + 21 + 10x - 3

=7 (8) + 21 + 10 (8) - 3

=56 + 21 + 80 - 3

=77 + 80 - 3

=157 - 3

=154

Subtract 154 from the straight angle

DEB = 180 - 154

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1760 kilometers

step-by-step explanation:

multiply the amount of time the plane took to travel by it's speed

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)