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trasher [3.6K]
3 years ago
11

Jim gets a $20 allowance per week plus $25for every lawn he mows. If he made $345 in one week, how many lawns did he mow?

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
7 0
345-20(allowance)= 325
Now you divide 325 by amount of earned from mowing lawns which gives you 13
(325/25)=13
vichka [17]3 years ago
3 0

This week the number of lawns "times" 25 and his allowance = $345

Therefore...

25x + 20 = 345

      - 20     -20

25x         = 325

Now divide both sides by the coefficient (25)... and that will be the number of lawns he mowed.

Hope this helps!

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12. Find the measure of each interior angle of triangle QRT.
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Answer:

\angle QRT=125.6\°

\angle RTQ=6.4\°

\angle TQR=48\°

Step-by-step explanation:

It is important to remember that, by definition, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

In this case we can idenfity that the angle 17x is an exterior angle of the triangle QRT. Then:

17x=\angle RTQ+\angle TQR

Where:

\angle RTQ=2x\\\\\angle TQR=48\°

Substituting values and solving for "x", we get:

17x=2x+48\\\\17x-2x=48\\\\15x=48\\\\x=3.2

Then:

17x=17(3.2)=54.4\°\\\\\\\angle RTQ=2(3.2)=6.4\°

The sum of the interior angles of a triangle is 180°, therefore:

\angle QRT+\angle RTQ+\angle TQR=180

Solving for \angle QRT, we get:

\angle QRT=180-48-6.4=125.6\°

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