The property of the questions are correctly stated below.
<h3>Properties of the various given equations </h3>
- Commutative property of addition: This is represented by equation 7
- Commutative property of multiplication: This is represented by equation 5.
- Associative property of addition: This is represented by equation 4.
- Associative property of multiplication: Not represented with any equation.
- Additive identity property: This is represented by equation 10.
- Multiplicative identity property: This is represented by equation 1.
- Multiplicative property of zero: This is represented by equation 8.
- Multiplicative inverse property: Not represented with any equation.
- Distribution property: This is represented by equation 2.
- Reflexive property: This is represented by equation 3.
- Symmetric property: Not represented with any equation.
- Transitive property: This is represented by equation 2.
- Substitution property: This is represented by equation 2.
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Answer:
3a) The value of x = 56
3b) The measure of ∠ H T M = 90°
3c) The radius of the circle = 53
Step-by-step explanation:
3a) ∵ A F is a tangent to the circle O at point F
∵ Secant AH intersects circle O at point T
∴ (A F)² = (A T)(A H)
∴ 7( x + 7) = (21)² ⇒ ÷ 7
∴ x + 7 = 63
∴ x = 63 - 7 = 56
3b) ∵ HM is a diameter
∴ The measure of the arc HM = 180° ⇒ semi-circle
∵ ∠ H T M is inscribed angle subtended by the arc HM
∴ m ∠ H T M = half the measure of arc HM
∴ m ∠ H T M = 180° ÷ 2 = 90°
3c) ∵ Δ H T M is a right angle triangle at T
∴ (H M)² = (M T)² + (H T)² ⇒ Pythagorean theorem
∴ (H M)² = (90)² + (56)²
∴ (H M)² = 11236
∴ HM = 
= 106
∴ OM = 106 ÷ 2 = 53
∵ OM is the radius of the circle O
∴ The radius = 53
Answer:
4+11a+8b
Step-by-step explanation:
1) 4+3a+2b+6b+5a+3a
2) 3a+3a+5a=11a. 2b+6b=8b
1. It is extracted from the ground.
2. It took years to form.
1. 1/3 for 14 3/4+ 1/6= 15 6/12 now 17 -15 6/12 =1 6/12 which is the same as 1 1/3
