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nirvana33 [79]
3 years ago
7

The ratio of the measures of the three angles is 4:5:6. Find the measure of each angle of the triangle

Mathematics
1 answer:
Furkat [3]3 years ago
4 0

Answer:

Let the number be x.

Given the statement: The ratio of the measure of the three angles is, 4 : 5 : 6.

Then, the angles be 4x , 5x and 6x respectively.

We know that: The sum of all the measures of angles is 180 degree.

then;

4x+5x+6x = 180^{\circ}

Combine like terms;

15x = 180^{\circ}

Divide by 15 both sides we get;

x = 12

Then, the measure of each angle of triangle:

4x = 4(12) = 48^{\circ}

5x = 5(12) = 60^{\circ}

6x = 6(12) = 72^{\circ}

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melamori03 [73]

The weight of the new student is 27 kg.

Average weight

= total weight ÷total number of students

<h3>1) Define variables</h3>

Let the total weight of the 35 students be y kg and the weight of the new student be x kg.

<h3>2) Find the total weight of the 35 students</h3>

<u>45 =  \frac{y}{35}</u>

y= 35(45)

y= 1575 kg

<h3>3) Write an expression for average weight of students after the addition of the new student</h3>

New total number of students

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Total weight

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44.5  =  \frac{y + x}{36}

<h3>4) Substitute the value of y</h3>

44.5 =  \frac{1575 + x}{36}

<h3>5) Solve for x</h3>

36(44.5)= 1575 +x

1602= x +1575

<em>Subtract 1575 from both sides:</em>

x= 1602 -1575

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Pls help soon:))
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C 40.7% is the answer
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