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vichka [17]
3 years ago
8

the measure of the seven angles in a nonagon measure 138, 154, 145, 132, 128, 147 and 130. if the two remaining angles are equal

in measure, what is the measure of each angle
Mathematics
1 answer:
Juliette [100K]3 years ago
7 0

To find the missing two angle measures, you will need to know that the sum of all nine angles in a nonagon equal 1260 degrees.


Knowing this, you can use this total to find the missing congruent angles.


Start with the total and subtract what you know. Divide what is left by two to get each angle measure.


1. 1260 - ( 138 + 154 + 145 + 132 + 128 + 147 + 130) = 286

2. 286/2 = 143


The missing angles are each 143 degrees.


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The quotient of a number t and 4.2 is at most 15.​
frosja888 [35]

Answer:

t \leq 63

Step-by-step explanation:

Quotient of two numbers also means the result of the two numbers after division.

If the quotient of a number t and 4.2 is at most 15., this can be expressed using the inequality;

\dfrac{t}{4.2}\leq  15 <em>(note that at most 15 means that the highest value we can have is 15 after taking the quotient of the number hence the reason of the inequality sign.)</em>

<em></em>

On solving the inequality for the variable t

\dfrac{t}{4.2}\leq  15\\\\multiply \ both \ sides \ by \ 4.2\\\\\dfrac{t}{4.2}* 4.2\leq  15 * 4.2\\\\t \leq 63

<em>Hence t is at most 63</em>

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Can anybody help me with this ?
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f(x) = (3/4)ˣ - 4

As x gets really negative (3/4)ˣ grows positively without bound (because it's (4/3)⁻ˣ and 4/3 > 1).

As x gets really positive (3/4)ˣ tends to zero but never quite gets there.

So (3/4)ˣ > 0 for all x

So f(x) > 0 - 4 for all x

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Pedro le dice a María si cambias los billetes de 10 € que tienes por billetes de 5 € y los billetes de 5 € por billetes de 10 €
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Answer: Maria has 10 bills of 5€ and 10 bills of 10€.

She has a total of 150€.

Step-by-step explanation:

Let be "f" the number of 5€ bills that Maria has and "t" the number of 10€ bills that Maria has.

Set up a system of equations:

\left \{ {{f+t=20} \atop {5f+10t=10f+5t}} \right.

Use the Substitution method to solve the system of equations:

1. Solve for "f" from the first equation:

f=20-t

2. Substitute the equation obtained into the second equation and solve for "t".

Then:

5(20-t)+10t=10(20-t)+5t\\\\100-5t+10t=200-10t+5t\\\\20t-10t=100\\\\t=\frac{100}{10}\\\\t=10

3. Substitute the value of "t" into the equation f=20-t and evaluate:

f=20-10\\\\f=10

Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.

So the total amount of money she has, is:

Total=10(5)+10(10)=150

She has a total of 150€.

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