sum of two angles of triangle are equal to the exterior angle of triangle
Answer:
The two angles are 25.5 and 114.5
Step-by-step explanation:
<u><em>x = measure of one angle
</em></u>
<u><em>5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other}
</em></u>
<u><em>
x + 5x - 13 = 140 {sum of the two angles is 140}
</em></u>
<u><em>6x - 13 = 140 {combined like terms}
</em></u>
<u><em>
6x = 153 {added 13 to each side}
</em></u>
<u><em>x = 25.5 {divided each side by 6}
</em></u>
<u><em>5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}</em></u>
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Answer:
Step-by-step explanation:
The sum of the two costs is $52, so we can write ...
x + y = 52
The shoes cost $4 more than the jacket, so we can write ...
x - y = 4
These are your system of equations.
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Subtract the second equation from the first:
(x +y) -(x -y) = (52) -(4)
2y = 48 . . . . . simplify
y = 24 . . . . . . .divide by 2
The cost of the jacket is $24.
Answer:
D
Step-by-step explanation:
