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3 years ago

Given m∠D = 70°, m∠E = 42, and m∠EHG = 68°, prove DF is parallel to GH.

Mathematics

1 answer:

Pie3 years ago

4 0

we know that

If DF is parallel to GH

then

the measure of the angle EGH must be equal to 70° by corresponding angles

<u>Find the measure of the angle EGH </u>

In the triangle EGH

the sum of the internal angles must be equal to 180 degrees

42°+68°+∠EGH=180°

solve for ∠EGH

∠EGH=180-(42+68)

∠EGH=180-110

∠EGH=70°

therefore

The lines DF and GH are parallel

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Answer:

$x=\frac{1}{5}$

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Step-by-step explanation:

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3 years ago

Which statement is true?

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<h2>Hello!</h2>

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The second option,

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<h2>Second option,</h2>

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The statement is true, we can prove it by using the following properties of exponents:

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We are given the expression:

$(\sqrt[m]{x^{a} } )^{b}$

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$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

<h2>Third option,</h2>

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The statement is false, the correct form of the statement (according to the property of roots) is:

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<h2>Fourth option,</h2>

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=m\sqrt{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=\sqrt[m]{\frac{x}{y} }$

Hence, the answer is, the statement that is true is the second statement:

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