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4 years ago

Equation practice with angle addition please help

Mathematics

1 answer:

grandymaker [24]4 years ago

4 0

Answer:

∠ CBD = 63°

Step-by-step explanation:

∠ ABC + ∠ CBD = ∠ ABD, substitute values

7x - 9 + 6x + 27 = 96, that is

13x + 18 = 96 ( subtract 18 from both sides )

13x = 78 ( divide both sides by 13 )

x = 6

Thus

∠ CBD = 6x + 27 = 6(6) + 27 = 36 + 27 = 63°

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Answer:

C- 35 °

Step-by-step explanation:

Interior angle adjacent to 90° angle = 90° (supplementary angles of a line segment).

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3 years ago

Select all possible values for x in the equation x^3=375?

Helga [31]

<h2>Hello!</h2>

The answers are:

The possible values for x in the equation, are:

First option, $5\sqrt[3]{3}$

Second option, $\sqrt[3]{375}$

To solve the problem, we need to remember the following properties of the exponents and roots:

$a\sqrt[n]{b}=\sqrt[n]{a^{n}*b} \\\\\sqrt[n]{a^{m} }=a^{\frac{m}{n}}\\\\(a^{b})^{c}=a^{b*c}$

Then, we are given the expression:

$x^{3}=375$

So, finding "x", we have:

$x^{3}=375\\\\(x^{3})^{\frac{1}{3} } =(375)^{\frac{1}{3}}\\\\x=\sqrt[3]{375}=\sqrt[3]{125*3}=\sqrt[3]{125}*\sqrt[3]{3}=5\sqrt[3]{3}$

Hence, the possible values for x in the equation, are:

First option, $5\sqrt[3]{3}$

Second option, $\sqrt[3]{375}$

Have a nice day!

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4 years ago

Equation practice with angle addition please help ​

Equation practice with angle addition please help