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3 years ago

How do I solve for the missing angle?!And please include explanations on how you got the answer

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

5 0

Answer:

75°

Step-by-step explanation:

In triangle FBG, one angle is 36. That means the other two must total 180-36=144. Assigning each one 72, their supplementary angle on the interior of the pentagon would be 108.

In triangle JDI, one angle is 39. That means the other two must total 180-39=141. Assigning each one 70.5, their supplementary angle on the interior of the pentagon would be 109.5

We now have 4 of the interior angles. Pentagons have an interior total of 540. 540-108-108-109.5-109.5=105

x is the supplement of 105. 180-105=75

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Arthur is saving money to buy a used car in 8 months. The car costs $2,180. Arthur plans to start with an initial deposit and th

Zolol [24]

The minimum initial deposit Arthur must make is $ 4.24.

Since Arthur is saving money to buy a used car in 8 months, and the car costs $ 2,180, and Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car, to determine what is the minimum initial deposit Arthur must make the following calculation should be performed:

X x 1.25 x 1.56 x 1.95 x 2.44 x 3.05 x 3.81 x 4.76 = 2180
514.10X = 2180
X = 2180 / 514.10
X = 4.24

Therefore, the minimum initial deposit Arthur must make is $ 4.24.

Learn more about maths in brainly.com/question/25749130

6 0

3 years ago

Find the real solution(s) of the equation. Round your answer to two decimal places when appropriate. 5x^6=30

Elina [12.6K]

Answer:

The real solutions are

$x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35$

Step-by-step explanation:

The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.

To find the real solutions of the equation $5x^6=30$ :

$\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x^6}{5}=\frac{30}{5}\\\\\mathrm{Simplify}\\\\x^6=6\\\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)}\\\\x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35$

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3 years ago

What is the average rate of change CAN SOMEONE PLEASE ANSWER THIS QUESTION I WILL BRAINLIEST

Andre45 [30]

<h3>Answer: The average rate of change for both is -2</h3>

=======================================================

Explanation:

The x interval [0,3] is the same as writing $0 \le x \le 3$

It starts at x = 0 and ends at x = 3.

The graph shows that x = 0 leads to y = 3. So we have the point (0,3) on the parabola. We also have the point (3,-3) on the parabola.

Let's find the slope of the line through these endpoints.

$(x_1,y_1) = (0,3) \text{ and } (x_2,y_2) = (3,-3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-3 - 3}{3 - 0}\\\\m = \frac{-6}{3}\\\\m = -2\\\\$

The slope is -2. This is the average rate of change from x = 0 to x = 3.

This is because:

slope = rise/run = (change in y)/(change in x) = average rate of change.

-------------

Now let's find the slope for the table.

Focus on the rows for x = 0 and x = 3. They lead to f(x) = 10 and f(x) = 4 respectively.

We have (0,10) and (3,4) as our two points this time.

$(x_1,y_1) = (0,10) \text{ and } (x_2,y_2) = (3,4)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{4 - 10}{3 - 0}\\\\m = \frac{-6}{3}\\\\m = -2\\\\$

We get the same slope as before, so we have the same rate of change.

Notice the change in y (-6) is the same as before. So we could pick any two y values we want as long as there's a gap of 6 between them, and the second y value is smaller than the first.

3 0

2 years ago

Identify the ordered pair on the graph of the equation 2x + 5y = 4.

Colt1911 [192]

What you would do is you would substitute each ordered pair into their respective variables. (ie. for (0,1) you would put 0 where the x is and 1 where the y is) You would then solve the equation. If the equation is not even (ie. 2=5 would not be even but 4=4 would be), you move on to the next ordered pair.

If you follow the process right and you get the equations correct, the answer should be B. (7,-2)

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3 years ago

Money in a bank account that compounds interest by some percentage acts- A. Linearly B. Exponentially C negatively D. Like a fra

vovikov84 [41]

Answer:

exponentially

Step-by-step explanation:

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3 years ago

How do I solve for the missing angle?!And please include explanations​ on how you got the answer

How do I solve for the missing angle?!And please include explanations on how you got the answer