Answer:
72°
Step-by-step explanation:
The measure of x is calculated by this formula
1/2×(difference of Intercepted Arcs)
1/2 × (252 - 108) = 72°
d. x = 2, DF = 7, EG = 7
DF is equivalent to EG; Therefore, the equation would be like this:
5x - 3 = x + 5
Transfer 3 and x to their opposite side and change their signs.
5x - x = 5 + 3
4x = 8
Find x. Divide both sides by 4.
4x / 4 = 8 / 4
x = 2
Subsitute x in the equation to find the length of each diagonal.
DF = 5x - 3 = 5(2) - 3 = 10 - 3 = 7 ; DF = 7
EG = x + 5 = 2 + 5 = 7 ; EG = 7
Answer:
4 scoops
Step-by-step explanation:
The recipe calls for 6 scoops
He is making 2/3 of the recipe
Multiply these together
2/3 * 6 =
2/3 *6/1 =
4 scoops
Based on the calculations, the sum of this geometric series is equal to 9,990.
<h3>The standard form of a geometric series.</h3>
Mathematically, the standard form of a geometric series can be represented by the following expression:

Where:
- a₁ is the first term of a geometric series.
<h3>How to calculate the sum of a geometric series?</h3>
Also, the sum of a geometric series is given by this mathematical expression:

<u>Given the following data:</u>
- Common ratio, r = 900/9000 = 0.1
Substituting the given parameters into the formula, we have;

S = 9000(0.999)/0.9
S = 8,991/0.9
S = 9,990.
Read more on geometric series here: brainly.com/question/12630565
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Answer:
Step-by-step explanation:
Salary increase in 2 years = Salary in fifth year - salary in 3rd year
= 87,023 - 43,250
= $ 43,773
Salary increase per year= 43773/2 = $ 21,886.50