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3 years ago

Im confused on this one also

Mathematics

1 answer:

dusya [7]3 years ago

5 0

Answer:

Reason 3: Pythagorean theorem

Reason 5: Pythagorean theorem

Reason 6: Definition of cosine

Reason 8: Substitution property of equality

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3 years ago

Ter

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3 years ago

Read 2 more answers

What is the value of x in the isosceles trapezoid below

Nookie1986 [14]

Answer:

D. 13

Step-by-step explanation:

From the diagram, $\angle BAD=2x\degree$ and $\angle BCD=(10x+24)\degree$

In an isosceles trapezium, the base angles are equal.

This implies that $\angle ABC=\angle BAD$ $\implies \angle ABC=2x\degree$

The side length CB of the trapezoid is a transversal line because <em>CD is parallel to AB</em>.

This means that $\angle ABC=2x\degree$ and $\angle BCD=(10x+24)\degree$ are co-interior angles.

Since co-interior angles are supplementary, we write and solve the following equation for $x$ .

$2x\degree+(10x+24)\degree=180\degree$

Group similar terms

$2x+10x=180-24$

Simplify both sides of the equation.

$12x=156$

Divide both sides by 12

$\frac{12x}{12}=\frac{156}{12}$

$\therefore x=13$

The correct answer is D.

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3 years ago