S = 180° ( n - 2 )
The equation for n is:
n = s / 180° + 2
s = 1,260°
n = ( 1,260° : 180° ) + 2 = 7 + 2 = 9
Answer:
A polygon has 9 sides.
<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
Answer:
<u>(h * h)(10) = 16</u>
Step-by-step explanation:
We should know that: (f*g)(x) = f(x)*g(x)
Given: h(x) = 6 - x
∴(h * h)(x) = (6-x) (6-x) = (6-x)²
To find (h * h)(10), substitute with x = 10 at (h * h)(x)
∴ (h * h)(10) = (6-10)² = (-4)² = 16
==============================================
Note: if we want to find (hoh)(10)
(hoh)(x) = h[h(x)] = 6 - (6 - x) = 6 - 6 + x = x
∴ (hoh)(10) = 10
2x3=6x3=18 u always do PEMDAS,
Answer:
15.43 ft
Step-by-step explanation:
To solve this question, one should use the concept of similar triangles.
The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem. Therefore, the distance of the top of the pole to the ground is:


The distance of the top of the pole to the ground is 15.43 ft.