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2 years ago

A, B & C lie on a straight line.

Mathematics

1 answer:

Liono4ka [1.6K]2 years ago

8 0

Answer:

x = 129°

Step-by-step explanation:

∠ ABD and ∠ DBC are a linear pair and sum to 180° , then

y + ∠ DBC = 180°

107° + ∠ DBC = 180° ( subtract 107° from both sides )

∠ DBC = 73°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then

x = ∠ DBC + z = 73° + 56° = 129°

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If f(x) = 2x - 6 and g(x) = 3x + 9, find (f+g)(x)

valina [46]

Answer:

(f+g)(x) = 5x + 3

Step-by-step explanation:

f(x) = 2x - 6 and g(x) = 3x + 9, find (f+g)(x)

(f+g)(x) = f + g = (2x - 6) + (3x + 9) = 5x + 3

(f+g)(x) = f + g = 5x + 3

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3 years ago

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Answer with explanation:

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2 years ago

In the smoky mountains of Tennessee, the percent of moisture that falls as snow rather than rain is approximated by P = 10.0 ln

Mars2501 [29]

Answer:

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Step-by-step explanation:

We want h such that ...

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3 years ago

Sqrt(2x-6)=3-x<br> Solve for x

soldi70 [24.7K]

Answer:

x = 3

Step-by-step explanation:

$\sqrt{2x - 6} = 3 - x$

Square both sides of the equation

$2x - 6 = (3 - x)^{2} = 9 - 6x + x^{2} \\$

$x^{2} - 8x + 15 = 0\\$

(x - 3)(x - 5) = 0

x = 3 or 5

Now, you must always check your results because a result may not satisfy the original equation.

If x = 3, then $\sqrt{2x - 6} = \sqrt{2(3) - 6} = \sqrt{6 - 6} = \sqrt{0} = 0$ and 3 - x = 3 - 3 = 0

So 3 satisfies the original.

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That means that x = 3 is the solution to the equation.

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3 years ago