PLEASE HELP QUICK!! (25 Points) Name the postulate or theorem you can use to prove the triangles congruent.

Mathematics

2 answers:

Akimi4 [234]3 years ago

7 0

Hello!

You know that two sides and one of the angles are congruent

The only choice that has two sides and 1 angle is ASA postulate

The answer is ASA postulate

Hope this helps!

muminat3 years ago

7 0

Answer with explanation:

If in two right Triangles , Hypotenuse and one side of a Right triangle is equal to Hypotenuse and other Corresponding side of that right triangle then that two right triangles are Congruent.

In the two right triangles,

Hypotenuse and base of one right triangle is congruent to Hypotenuse and base of other right triangle.

Option A:⇒ H L Theorem

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Cos(-170°) = _____<br><br> -cos10°<br> cos10°<br> cos(-10°)

ikadub [295]

<em>The right answer for:</em>

<h2>Explanation:</h2>

The cosine function is an even function, which means that for every point $(x,y)$ on the graph of $y=cos(x)$ then the point $(-x,y)$ also lies on the graph of the function. In other words, we can write:

$cos(-170^{\circ})=cos(170^{\circ})$

But:

$170^{\circ}=180^{\circ}-10^{\circ}$

So:

$cos(170^{\circ})=cos(180^{\circ}-10^{\circ})$

By property:

$cos(a-b)=cosacosb+sinasinb \\ \\ a=180^{\circ} \\ \\ b=10^{\circ} \\ \\ cos(170^{\circ} )=cos(180^{\circ} -10^{\circ})=cos180^{\circ} cos10^{\circ} +sin180^{\circ} sin10^{\circ} \\ \\ cos(170^{\circ})=-cos(10^{\circ})+0 \\ \\ \boxed{cos(170^{\circ})=-cos(10^{\circ})}$