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timama [110]
2 years ago
14

1. Calculate the value of x in the following diagram. 53 - Y IN Q 5x 18​

Mathematics
1 answer:
777dan777 [17]2 years ago
5 0

Answer:

x = 7

Step-by-step explanation:

QY = 5x

YZ = 18

QZ = 53

Thus:

QY + YZ = QZ (segment addition postulate)

5x + 18 = 53

5x = 53 - 18 (subtraction property of equality)

5x = 35

Divide both sides by 5

x = 7

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Answer:

Statement 4 is incorrect.

Step-by-step explanation:

#4 is incorrect. This statement is assuming that both 3x+5 and 4x are equal, but the correct way to use them and achieve 180 (definition of supplementary) degrees is by writing it as: 3x+5 + 4x = 180. (I spaced the 3x+5 and 4x to make it clear that these are two angles added together.) With this equation, you will be able to find the x and the substitute it back in to complete the equation.

8 0
3 years ago
A steel company sells 48 tons of steel each year.
ddd [48]

Answer:

16 tons

Step-by-step explanation:

To solve the first step is to change years to months because the time periods are in different units. There are 12 months in 1 year. This means that the company sells 48 tons over 12 months. 4 months is the equivalent of 1/3 of 12 months. This means that we can find the amount sold in 4 months by dividing 48 by 3. 48/3 is 16. Thus, the steel company sells 16 tons in 4 months.

Another way to find the answer is to find the unit rate. The unit rate is how many tons are sold in 1 month. Find this by dividing 48 by 12 because this represents the sales of 1 month. 48/12=4, this means that in 1 month, 4 tons of steel are sold. Next, multiply 4 times 4 to find the amount of steel sold in 4 months. 4 times 4 also gives you the same answer of 16.

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2 years ago
What is 40/100 simplified. I really need to know
marysya [2.9K]

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This graph shows part of Ahmed's journey to the gym and back.
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2 years ago
The cost of an limited edition figurine starts at $255 and it increases in value by 8% each year. What is the growth or decay ra
3241004551 [841]

Answer:

Growth rate = 8% = 0.08

Initial value (Po) = $255

F(t) = Po* e^rt

F(t) = $412.09897

Step-by-step explanation:

Given that:

Initial cost = $255

Rate of increase per year (r) = 8% = 0.08

Growth rate :

Final amount = Initial amount * (1 + rate)^time

Growth rate = 8% = 0.08

Initial value (Po) = $255

Exponential model for the cost :

F(t) = Initial value * e^(rate * time)

F(t) = Po* e^rt

Value after 6 years :

F(t) = Po* e^rt

t = 6

F(t) = 255 * e^(0.08*6)

F(t) = 255 * 1.6160744

F(t) = $412.09897

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2 years ago
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