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Pachacha [2.7K]

2 years ago

11

10 ways to divide 96 into equal groups

1 answer:

Andrew [12]2 years ago

4 0

These are the ten ways to divide 96 into equal groups:

96 divided by 2 = 2 groups of 48

96 divided by 48 = 48 groups of 2

96 divided by 12 = 12 groups of 8

96 divided by 8 = 8 groups of 12

96 divided by 32 = 32 groups of 3

96 divided by 3 = 3 groups of 32

96 divided by 24 = 24 groups of 4

96 divided by 4 = 4 groups of 24

96 divided by 6 = 6 groups of 16

<span>96 divided by 16 = 16 groups of 6</span>

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If john has a bag of 30 sweets and he eats 21. what is the percentage is left

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BigorU [14]

Option C:

x = 30

Solution:

The given image is a triangle.

angle 1, angle 2 and angle 3 are interior angles of a triangle.

angle 4 is the exterior angle of a triangle.

m∠4 = 2x°, $m\angle2=\frac{4}{3}x^\circ$ , m∠3 = 20°

Exterior angle theorem:

<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>

By this theorem,

m∠4 = m∠2 + m∠3

$$2x^\circ=\frac{4}{3}x^\circ+20^\circ$

Subtract $\frac{4}{3}x^\circ$ on both sides of the equation.

$$2x^\circ-\frac{4}{3}x^\circ=20^\circ$

To make the denominator same and then subtract.

$$\frac{6}{3}x^\circ -\frac{4}{3}x^\circ=20^\circ$

$$\frac{2}{3}x^\circ =20^\circ$

Multiply by $\frac{3}{2}$ on both sides of the equation.

x° = 30°

x = 30

Hence option C is the correct answer.

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