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3 years ago

NOT SURE HELPP... it's a khan academy question

Mathematics

2 answers:

Cloud [144]3 years ago

7 0

Answer:

36.87

Step-by-step explanation:

Sine rules says:

. sin x = opposite / hypotenuse

We just substitute in the values

. sin x = 3 / 5

. sin x = 0.6

Now we use sin inverse to find the value of the angle

. x = sin^-1(0.6) = 36.87

Annette [7]3 years ago

5 0

$\sin \angle A = \dfrac{3}{5} \\\\\implies \angle A = \sin^{-1} \left( \dfrac 35 \right) = 36.87^{\circ}$

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Identify the values of variables x, y, and z based on the image given of the angles formed by a transversal and parallel lines

Paul [167]

Answer:

$x=62\\y=94\\z=94$

Step-by-step explanation:

Let's start by identifying relevant angle theorems for two parallel lines cut by a transversal.

Alternate Interior Angles Theorem

Two angles that are on different sides of the transversal and inside of the two parallel lines are congruent (=).

Alternate Exterior Angles Theorem

Two angles that are on different sides of the transversal and outside of the two parallel lines are congruent (=).

Same-side Interior Angles Theorem

Two angles that are on the same side of the transversal and inside of the two parallel lines are supplementary (= 180).

Same-side Exterior Angles Theorem

Two angles that are on the same side of the transversal and outside of the two parallel lines are supplementary (=180).

Corresponding Angles Theorem

Two angles on a figure that correspond are congruent (=).

Now, let's look at the figure and apply these theorems.

$z$ and $86$ are same-side exterior angles, meaning they're supplementary:

$z+86=180$

Subtract $86$ from both sides of the equation:

$z=94$

Now that we know our $z$ value, let's recognize that $z$ ( $94$ )corresponds to $x+32$ , meaning they're congruent:

$x+32=94$

Subtract $32$ from both sides of the equation:

$x=62$

Let's find the value of the angle:

$(62)+32$

Add:

$94$

Since the corresponding angles are of the same value, they're congruent, proving our $x$ & $z$ values correct.

Since $y$ and the angle represented by the expression $x+32$ ( $94$ °) are alternate-interior angles, they are congruent:

$y=94$

5 0

4 years ago

Joshua can purchase tile at one store for $0.99 per tile but he he will have to rent a tile saw for $25. At another store he can

Debora [2.8K]

Answer:

The number of tile for which the cost is same route to nearest tile is 49 .

Step-by-step explanation:

Given as :

The cost which Joshua will pay for tile at one store = $ 0.99 per tile + $ 25 for tile saw

The cost which Joshua will pay for tile at another store = $ 1.50 per tile only

Let The number of tile for which the cost is same route to nearest tile = n

So, According to question

$ 0.99 × number of tile + $ 25 = $ 1.50 × number of tile

or, $ 0.99 × n + $ 25 = $ 1.50 × n

or, $ 1.50 × n - $ 0.99 × n = $ 25

I.e 0.51 × n = $ 25

∴ n = $\frac{25}{0.51}$

I.e n = 49.01 ≈ 49

So, The number of tile for which the cost is same route to nearest tile = n = 49

Hence The number of tile for which the cost is same route to nearest tile is 49 . Answer

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The answer is 66.
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