172 = 1/2 * x + 45
172 = 1/2x + 45 / - 45 (both sides)
127 = 1/2x / * 2 (both sides)
x = 254
Answer:
See the attached figure which represents the problem.
Angles GJH and JHI are inscribed angles
Given: ∠GJH = 0.5a and ∠JHI = 0.5b ⇒ inscribed angle theorem
So, the angle JHI is an exterior angle of ΔGJH
AS, the measure of the exterior angle is equal to the sum of the sum of the remote interior angles
So, ∠JHI = ∠GJH + ∠JGI ⇒ by substitution property
∴ 0.5 b = 0.5a + ∠JGI
∴ ∠JGI = 0.5b - 0.5a ⇒ take 0.5 as a common
∠JGI = 0.5 ( b - a ) ⇒ by distributive property.
So, m∠JGI = One-half(b – a)
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Answer:
Number 4: Yes, Numbers 5 and 6: See response below, Number 7: 24 meters
Step-by-step explanation:
Number 4: Negative numbers can't have real number square roots, but negative numbers can have real number cube roots. Take the cube root of -8 as an example. The answer would be -2. This also brings me to another point, discussed in the second response.
Number 5: A cube root is different than a square root being that -
1. the final answer of a cube root is always a negative number while that of a square root is always positive.
2. of course square roots area only applicable to positive numbers, rather cube roots, applicable to both negative and positive numbers
<em>And there are plenty more differences..........</em>
Number 6: I am not sure of a number where the square root and cube root are equal, don't give me credit on this question
Number 7: Take the cube root of 13,824 to get the dimensions, which are all equivalent to 24 (24 * 24 * 24 = 13,824)
*(Just want to add that it's 11:12 in the night, you should get sleep)
