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Free_Kalibri [48]
3 years ago
11

A triangle has one angle that is three times the size of another, and a third angle that is 16degrees smaller than the larger of

the previous two angles. What is the measure of each angle?
Mathematics
2 answers:
Strike441 [17]3 years ago
7 0
The answers are 26 68 84
Dafna11 [192]3 years ago
6 0

Answer:

26, 68 and 84

Step-by-step explanation:

Let the angle that is three times smaller than another be X.

Since the angle sum of a triangle is 180 degrees, we can form the following equation:

X + 3X + (3X- 16) = 180

Now we can simplify this equation:

7X - 16 = 180

7X = 196 (add 16 to both sides)

X = 196/7

X = 28

Therefore, the smallest angle is 28 degrees.

And from here we can figure out the other angles as they are 3x28 and 3x28 - 16.

So the three angles are 28 degrees, (3x28-16) 68 degrees, and (3x28) 84 degrees.

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Dimas [21]

\bold{\text{Answer}:\quad x=3\bigg(\dfrac{ln\frac{14}{7.8}}{ln(5)}\bigg)=1.09}

<u>Step-by-step explanation:</u>

7.8e^{\frac{x}{3}\cdot ln(5)}=14\\\\\\e^{\frac{x}{3}\cdot ln(5)}=\dfrac{14}{7.8}\\\\\\ln\bigg(e^{\frac{x}{3}\cdot ln(5)}\bigg)=ln\bigg(\dfrac{14}{7.8}\bigg)\\\\\\\frac{x}{3}}\cdot ln(5)=ln\bigg(\dfrac{14}{7.8}\bigg)\\\\\\\large\boxed{x=3\bigg(\dfrac{ln\frac{14}{7.8}}{ln(5)}\bigg)}\\

x ≈ 1.09

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Answer:

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123456789 x 125 ÷ 4<br><br> I will mark brainiest!!!!!
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Hope this helped!

Nate

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Sam has 4 gallons of juice. Each glass holds 1/5 of a gallon . How many glasses can he fill
Softa [21]

Answer:

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