1. (false) A chord is never a radius. A chord is the line segment whose 2 endpoints are points on the circle.
2. (true) A diameter is always a chord, in fact, it is the chord of largest length.
3. (true) A tangent is a line in the exterior of a circle, with only 1 common point with a circle. Whereas a secant has 2 common point with a circle and many more in the interior of the circle
4. (false) A chord can be at most equal to the length of the diameter.
5. (true) A chord can be very short. Consider 2 points on the circle which are very close to each other and the chord formed by them.
6. (true)
Answer:
I think its y^-3
Step-by-step explanation:
Since y^-3/y^-2 are both negatives they would swap places to become positive - y^2/y^3
then using rules of exponents you would subtract the exponents witch would be y^-3
Answer:
m∠R is 72°
Step-by-step explanation:
In the given figure
∵ ΔPQR ≅ ΔUVW
→ From congruency
∵ m∠P = m∠U
∵ m∠Q = m∠V
∴ m∠R = m∠W
∵ m∠R = (10x - 18)°
∵ m∠W = 8x°
∵ m∠R = m∠W
→ Equate their measures
∴ 10x - 18 = 8x
→ Add 18 to both sides
∵ 10x - 18 + 18 = 8x + 18
∴ 10x = 8x + 18
→ Subtract 8x from both sides
∴ 10x - 8x = 8x - 8x + 18
∴ 2x = 18
→ Divide both sides by 2 to find x
∴ x = 9
→ Substitute the value of x in the m∠R
∵ m∠R = 10(9) - 18
∴ m∠R = 90 - 18
∴ m∠R = 72°
∴ m∠R is 72°
Area = 2831.25 square yards
Perimeter =215.6 yards
EXPLANATION
The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.
That means, area of the rectangular field is given by the formula,

We just have to substitute

and

into the given formula and evaluate.
This implies that;

This gives the area of the rectangular-shaped field to be;

square yards.
Now for the perimeter, we use the formula

Or

Substituting the values for the length and width gives,



Hence the perimeter of the rectangular shaped field is 215.6 yards.
Answer:
-16
Step-by-step explanation:
Use everyone's favourite thing: ALGEBRA!!!
16=x+32
16-32=x
-16=x
Hope that helps