At a red-tag sale, all items with red tags have been marked down by 49%. What should be the sale price of a DVD player having a
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<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
We need to find the quotient of the given division problem.
In order to find its quotient, we will use long division.
)
First of all, we put x in the quotient as goes into
, x times.
So, we get:
)
(x
Upon subtracting, we get:
We can see that goes into
, -2 times, therefore, the next term in the quotient will be -2. This makes our quotient as (x-2).