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krok68 [10]
3 years ago
13

∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5, and m∠JKL = x − 3. Find the measure of each angle.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0

Answer:

A

Step-by-step explanation:

complementary angles are 90 degrees so if we add both angles together we get 90 degrees. the equation is x-3+x+5=90. then we do algebra and so it goes to x-3+x=85 then to x+x=88 then to 2x = 88 then to x = 44. now we just do 44+5=49  44-3=41

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Describe any domain restrictions that make sense for each of these scenarios: The price of a stock fluctuates several times thro
mrs_skeptik [129]

Answer:

  • a) Restriction: days of the year (a discrete time)

  • b) The time the ball is on the air: t = 0, until the balls touchs the ground (any real value from t = 0 to t when the ball hits the ground)

  • c) Any positive real value: x ≥ 0

Explanation:

The <em>domain </em>is the set of elements that can be inputs of the <em>function</em>.

<u><em>1. The price of a stock fluctuates several times throughout the year as a function of time.</em></u>

The input variable is the time through out the year.

If you assume that the fluctuaion is recorded once a day, and not every second, the logical assumption is that the time is a day of the year.

Thus, the restricion is the days of the year.

You could represent them in different forms, like DD/MM/YY, or even as a number from 1 to 365 if it covers just one year.

<u><em></em></u>

<u><em>2. A ball is hit into the air by a baseball player, rises until it reaches its highest point, and then falls into left field.</em></u>

The domain is the time the ball is on the air, which may be any real value from t = 0, until the balls touchs the ground.

It is not restricted to integer numbers.

<u><em>3. The volume of a spherical balloon increases as the balloon is blown up and decreases as air is let out of it.</em></u>

The inputs of the function are amounts of air, which may be measured as number of moles.

The number of moles can be any real value equal or greater than zero.

Thus, the domain is the positive real values x ≥ 0.

8 0
3 years ago
Read 2 more answers
At Lakeview middle school,there are 2 homeroom teachers assigned to every 48 students. is the number of stuff at this school pro
Zielflug [23.3K]
Yes becuase constant rate will be 24/1
and when you keep subtracting 1 to the x value & and 24 to y value it will end with 0,0 meaning its proportion
6 0
3 years ago
Favorite Subject
Cloud [144]

Answer:

78

Step-by-step explanation:

Muliply 300 to 26%

8 0
3 years ago
David’s statement shows a previous balance of $5834.53, a payment of $150, and new transactions totaling $325. His APR is 20.4%.
DaniilM [7]
Finance charge
(5,834.53−150)×(0.204÷12)=96.64

New balance
5,834.53−150+96.64+325
=6,106.17
8 0
3 years ago
Read 2 more answers
In the simplest radical form, what is the perimeter of a square with a diagonal of 12 cm?
Gnesinka [82]
Diagonal of a square is √2a
so,
√2 a = 12
a= 12/√2
and.. perimeter of a square is 4a
so,
peri = 4*12/√2
= 48/√2
=33.94cm
7 0
3 years ago
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