Answer:
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a 
, creating right triangles 
and 
.
The Pythagorean Theorem states that the following is true for any right triangle:
, where 
is the hypotenuse, or the longest side, of the triangle
Thus, we have:
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
Thus, the perimeter of the quadrilateral PTOS is equal to 
Answer:
x = 2 or
x = -7
Step-by-step explanation:
(x - 2)(x + 7) = 0
x - 2 = 0
Add 2 to both sides
x - 2 + 2 = 2 + 0
x = 2
OR
x + 7 = 0
Subtract 7 from both sides
x + 7 - 7 = 0-7
x = -7
Therefore
x = 2 or
x = -7
Answer:
23, 25, 27
Step-by-step explanation:
It can be convenient to work "consecutive integer" problems by using a variable to represent the middle one.
__
<h3>setup</h3>
Let x represent the middle integer. Then (x-2) is the first of the three odd integers, and (x+2) is the third. The given relation is ...
2(x -2) +3x = 67 +2(x +2)
<h3>solution</h3>
5x -4 = 2x +71 . . . . . simplify
3x = 75 . . . . . . . . add 4-2x
x = 25 . . . . . . . divide by 3
The three integers are 23, 25, 27.
Answer: 5.5 inches, 3.5 inches
Step-by-step explanation:
Given
Barry wants to make a drawing i.e. half the size of original
The length and width of the original drawing are 11 inches and 7 inches respectively.
So, the intended drawing is obtained by multiplying the original dimensions by 
The length of barry's drawing is
The breadth of barry's drawing
Answer:
4096
Step-by-step explanation:
