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:
<h2>642 4/5</h2>
Step-by-step explanation:
5 into 3 (0 times)
Bring next number down 3214 ⬇️
5 into 32 (6 times, 2 left over)
Bring next number down 3214 ⬇️
5 into 21 (4 times, 1 left over)
Bring next number down 3214 ⬇️
5 into 14 (2 times, 4 left over)
Bring next number down 3214.0 ⬇️
5 into 40 (8 times)
642.8 = 642 4/5
3214 divided by 5 is 642 4/5.
I'm always happy to help :)
The number is 18.
In order to find this, we need to take each side and turn them into mathematics statements.
Five times the sum of a number and 3.
5(x + 3)
3 times the difference of twice the number and 1
3(2x - 1)
Now that we have these, we can set them equal to each other and solve.
5(x + 3) = 3(2x - 1) ----> Distribute
5x + 15 = 6x - 3 -----> Subtract 5x from both sides
15 = x - 3 -----> Add 3 to both sides
18 = x
Let "per month" = m
The inequality is
1.5m + 4 ≥ 7
+ 4: Her hair right now is 4 cm long
1.5m: Her hair grows 1.5 per month (m)
≥ 7: She wants it to be at least 7 or more.
1.5m + 4 ≥ 7 is your answer
hope this helps
If the image is congruent to the pre-image, then the scale factor must be 1.