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MAXImum [283]
3 years ago
5

Please help on this one ? :)

Mathematics
1 answer:
rusak2 [61]3 years ago
7 0

Answer:

C. All real numbers

Step-by-step explanation:

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12. Find the measure of each interior angle of triangle QRT.
Veseljchak [2.6K]

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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3 years ago
The ratio of oil to vinegar in a salad dressing is 8:5.How much oil must blend with 7 liters of vinegar for that recipe?
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