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1 year ago

In the figure below, what is the value of angle Z?

Mathematics

2 answers:

Andre45 [30]1 year ago

5 0

Answer: SECOND OPTION.

Step-by-step explanation:

You can use the following identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

In this case:

$\alpha=45\°\\adjacent=2\\hypotenuse=x$

Therefore, in order to calculate the value of "x", you need to substitute values into $cos\alpha=\frac{adjacent}{hypotenuse}$ and solve for "x".

This is:

$cos(45\°)=\frac{2}{x}\\\\xcos(45\°)=2\\\\x=\frac{2}{cos(45\°)}\\\\x=2\sqrt{2}$

$x$ ≈ $2.83$

Hoochie [10]1 year ago

3 0

Answer:

=2.83 the second option

Step-by-step explanation:

Using the trigonometric ratios we can find the sides of the triangle with the acute angles.

In the triangle provided we will use COSINE

Cos ∅=adjacent/hypotenuse

Let us substitute with the values in the question into the formula.

Tan 45 =2/x

x=2/Cos 45

=2.83 units

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According to the given information, we have

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1 year ago

What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.

GalinKa [24]

Options

A. UV = 14 ft and m∠TUV = 45°

B. TU = 26 ft

C. m∠STU = 37° and m∠VTU = 37°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

E. m∠UST = 98° and m ∠TUV = 45°

Answer:

A. UV = 14 ft and m∠TUV = 45°

D. ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Step-by-step explanation:

Given

See attachment for triangle

Required

What proves that: ΔSTU ≅ ΔVTU using SAS

To prove their similarity, we must check the corresponding sides and angles of both triangles

First:

$\angle UST$ must equal $\angle UVT$

So:

$\angle UST = \angle UVT = 98$

Next:

UV must equal US.

So:

$UV = US = 14$

Also:

ST must equal VT

So:

$ST = VT = 20$

Lastly

$\angle TUV$ must equal $\angle TUS$

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$\angle TUV = \angle TUS = 45$

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2 years ago

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1 year ago

A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured

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Question:

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Picture of data can be found in the picture attached.

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