Which statements about the figure are true? Select two options.
2 answers:
<u>Complete Question</u>
The circle is inscribed in triangle PRT. A circle is inscribed in triangle P R T. Points Q, S, and U of the circle are on the sides of the triangle. Point Q is on side P R, point S is on side R T, and point U is on side P T. The length of R S is 5, the length of P U is 8, and the length of U T is 6. Which statements about the figure are true?
Answer:
(B)TU ≅ TS
(D)The length of line segment PR is 13 units.
Step-by-step explanation:
The diagram of the question is drawn for more understanding,
The theorem applied to this problem is that of tangents. All tangents drawn to a circle from the same point are equal.
Therefore:
|PQ|=|PU|=8 Units
|ST|=|UT| =6 Units
|RS|=|RQ|=5 Units
(b)From the above, TU ≅ TS
(d)Line Segment |PR|=|PQ|+|QR|=8+5=`13 Units
You might be interested in
Answer:
Step-by-step explanation:
we have
Line 1
Equation in slope intercept form
The slope is equal to
Line 2
Equation in slope intercept form
The slope is equal to
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)
so
substitute
Answer:
and a₁ =30000 for n = 2,3,4,5,6, ......
Step-by-step explanation:
Doug has joined a job with a starting salary of $30000 per year.
Hence, if a₁ is the salary of Doug in the first year, then
a₁ =30000
Now, each year Doug will receive a raise of $3000 in his salary.
Hence, in the 2nd year, his salary(a₂) will become ( a₁ +3000) per year.
Again, in the 3rd year, his salary(a₃) will become ( a₂ +3000) per year.
Therefor, in the similar manner the recursive formula for his salary in each year will be given as and a₁ =30000 for n = 2,3,4,5,6, ...... {aₙ is the yearly salary of Doug in the nth year} (Answer)