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3 years ago

7. Solve the equation. x + 3 = 3x - 7 A-10 B - 12 05 OD-2

Mathematics

2 answers:

VladimirAG [237]3 years ago

7 0

Answer:

C. x = 5

Step-by-step explanation:

x + 3 = 3x - 7

Add -3x and -3 on both sides.

x - 3x = -7 -3

Add or subtract like terms.

-2x = -10

Multiply -1 on both sides.

2x = 10

Divide 2 into both sides.

2x/2 = 10/2

x = 5

damaskus [11]3 years ago

5 0

The correct answer is C : 5

Step by step:

1. Subtract -3 on both sides and get x = 3x -10

2. Subtract 3x on both sides and get -2x= -10

3. Divide -2 on both sides and get x=5 as your answer!!

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3 years ago

Given: △ABC, m∠A=60°

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Answer:

Perimeter = 32.3

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Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

$a$ is the side opposite to $\angle A$

$b$ is the side opposite to $\angle B$

$c$ is the side opposite to $\angle C$

$\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08$