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3 years ago

[(8 + 10) ÷ 3] + 3 • (7 - 3) equals?

Mathematics

2 answers:

kakasveta [241]3 years ago

4 0

[(8+10)/3]+3.(7-3)=(18/3)+3.(4)=6+12=18

answer; [(8+10)/3]+3.(7-3)=18

Maru [420]3 years ago

4 0

=[(8 + 10) ÷ 3] + 3 • (7 - 3)
=[18÷3]+3•(7-3)
=[18÷3]+3•4
=6+3•4
=6+12
=18

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lubasha [3.4K]

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3 years ago

Given the following diagram, find the missing measure. *

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:

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

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

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3 years ago