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
Plug in 1.5 for x, to start off. It is then simplified to : 3*(1.5)* y - 5y
Then plug in -3 for y, it's then simplified to : 3*(1.5)* -3 - 5 * (-3)
First, multiply 1.5 times 3, and that will get you 4.5. The multiply 4.5 with -3, and that will get you -13.5. Moving on, subtract -13.5 from the 5 that is being multiplied to -3, which is -15. In conclusion, -13.5 subtracted from -15 would be -28.5. Hope this helps!
Answer:
i < 3u
Step-by-step explanation:
9x-7i> 3(3x-7u)
to solve for i, first simplify the problem on the right side of the equation.
9x-7i > 9x - 21u
make i the subject by subtracting 9x from both sides of the equation
9x-9x-7i> 9x-9x -21u
add like terms
-7i > -21u
divide both sides of the equation by -7
-7i/-7> -21u/-7
divide and change the sign
i < 3u
It would be answer A because answer A has the same slope as the equation in the question, none of the other answers have the same slope as 7/6. there is -7/6, but all that means is that the equation is negative. we need a positive equation.