She would need to buy 18 baskets of apples because 36/2=18
Answer:
x = 10
Step-by-step explanation:
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.
In the given problem, the exterior angle is < JUV, and its corresponding remote interior angles are < V and < W.
Establish the following equation according to the exterior angle theorem:
< V + < W = < JUV
88° + (5x + 1)° = (14x - 1)°
Solve for x algebraically:
88° + 5x + 1 = 14x - 1
89 + 5x = 14x - 1
89 + 1 + 5x = 14x - 1 + 1
90 + 5x = 14x
90 + 5x - 5x = 14x - 5x
90 = 9x
90/9 = 9x/9
10 = x
Therefore, the value of x = 10.
Answers:
Part A: The value of x must be 0
Part B: The value of x can be any real number
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Explanation:
Part A) We have the equation (7^2)^x = 1 which simplifies to 7^(2x) = 1. The only way to get the left side equal to the right side is to have the exponent of 2x equal zero. If 2x = 0, then x = 0. So that's why x = 0 is the only solution here.
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Part B) Similar to part A above, but the exponent is slightly different now. We have (7^0)^x = 1 which turns into 7^(0*x) = 1. The exponent 0*x is really 0 no matter what x is. We can plug in any real number we want for x and the left side will always be 1. This is why the solution set to this equation is the set of all real numbers.
The office head is actually 20,00 who wrote this paper
Answer:
140
Step-by-step explanation:
The prism shown is a rectangular prism
Volume of a rectangular prism = length * width * height
Given length: 3 1/2
Given width: 5
Given height: 8
Volume = 3.5 * 5 * 8 = 140
