MATHEMATICS HIGH SCHOOL

Which one of the following is a true statement about a circle inscribed in a regular polygon? A. The area of the circle is equal to the area of the polygon.
B. The sides of the polygon are chords of the circle.
C. The vertices of the polygon are on the circumference of the circle.
D. The sides of the polygon are tangents of the circle.

Answers

Answer 1
Answer: Given that a circle is inscribed in a regular polygon, it is true that the sides of the polygons are tangents of the circle. The area of the circle is always less than the area of the polygon. When the polygon is inscribed in the circle, then the sides of the polygon are chords of the circle and the vertices of the polygon are on the circumference of the circle. Answer is D. 

Related Questions

CD←→ is tangent to circle A at point B.What is the measure of ∠ABD? 45º 60º 90º 180º
Let f(x) = 2x, g(x) = x2 + 2, and h(x) = -4x + 3. Find the composite function.
Correct or incorrect? the difference of two numbers is always less than at least one of the numbers
I'm struggling on this, please can someone help me?
What is the equation of the line that passes through the points (−2,4) and (0,3)?

Determine if triangle XYZ with coordinates X(1, 1), Y(5, 6), and Z(6, 2) is a right triangle.

Answers

Answer:

Yes.

Step-by-step explanation:

If you graph it you can see that they all the points match up to the perfect right triangle. You may have to rotate it to see it though. Point Z is the angle of the triangle that is the corner of the 90 degree triangle.

angel has a total of 97 dimes and nickels. if the total value of the coins is $8.35, how many dimes does he have

Answers

dime=10 cents
nickles=5 cents

835=10d+5n
divide both sides by 5
167=2d+n

total number of coins is 97
97=d+n

we have

2d+n=167
d+n=97
multiply 2nd equation by -1 and add them

2d+n=167
-d-n=97 +
1d+0n=70

d=70

sub back

d+n=97
70+n=97
minus 70 both sides
n=27

70 dimes
He would have $1.35 left

Convert the following Decimal to a Fraction (reduce to the lowest terms): .176 =

Answers

Convert the following Decimal to a Fraction (reduce to the lowest terms): .176 =

The diameter of a circle has endpoints whose coordinates are R(-2, 2) and S(4, 2). what is the length of the radius?

Answers

Answer: 3 units

Step-by-step explanation:

Using distance formula :

√((x_2-x_1)^2+(y_2-y_1)^2)

The diameter of the circle with endpoints  R(-2, 2) and S(4, 2) will be

d=√((4+2)^2+(2-2)^2)=√(36)=6\ units

Since, the radius of a circle is half of the diameter.

Then the radius of the circle will be

r=(d)/(2)=(6)/(2)=3\ units

Hence, the radius of the circle = 3 units.

Answer:

the answer is 3

Step-by-step explanation:

Both the leftmost digit and the rightmost digit of a four-digit numberN are equal to 1. When these digits are removed, the two-digit number
thus obtained is N ÷ 21. Find N.

Answers

N=1000w+100x+10y+z\nw=z=1\nx,y\in\{0,1,2,\ldots,7,8,9\}\n10x+y=(N)/(21)\n10x+y=(1000w+100x+10y+z)/(21)\n10x+y=(1000+100x+10y+1)/(21)\n10x+y=(100x+10y+1001)/(21)\n210x+21y=100x+10y+1001\n110x+11y-1001=0\n10x+y-91=0\ny=-10x+91\n\n\hbox{The above equation meets the condition }x,y\in\{0,1,2,\ldots,7,8,9\}\n\hbox{only for } x=9:\ny=-10\cdot9+91\ny=-90+91\ny=1\n\n\hbox{Therefore:}\nN=1000\cdot1+100\cdot9+10\cdot1+1\nN=1000+900+10+1\nN=\boxed{1911}

(3.4x10^7)x(4.5x10^4)

Answers

(3.4x10^7)x(4.5x10^4)=1.53x10^12
Other Questions
Solve for X.A. 10B. 12C. 15D. 22
What is the value of b that will make the system of equations consistent when x = 2?8x + 3y = 14 bx + 2y = 6
CLAIRES BACKYARD IS IN THE SHAPE OF A RECTANGLE AND HAS A LENGTH OF 19.5 feet . It cost her $945.00 to fence in the yard. If fencing cost $15.00 per foot, what is the width of Claires backyard? Please explain how to solve it
If there are 15 red tulips every 9 yellow tulips how many yellow tulips are the for every 5 tulips