Find x. Round your answer to the nearest tenth. ______________

Mathematics

1 answer:

liubo4ka [24]2 years ago

7 0

Answer:

Step-by-step expThis is the concept of trigonometry, the value of x will be calculated as follows;

sin theta=[opposite]/[hypotenuse]

theta=x

opposite=16 units

hypotenuse=21 units

thus;

sin x=16/21

hence;

x=arcsin(16/21)

x=49.63

x=50 (to the nearest degrees)

You might be interested in

There is a bag filled with 4 blue and 5 red marbles.

gavmur [86]

1) first pick red 5/9 blue 4/9

2) second pick when red has been picked red now becomes 4/8, blue stays 4/8

2) Second pick when blue has been picked blue now becomes 3/8, red stays 5/8

Mind you, you only need both different colours so:

first pick red 5/9 x sec pick blue 4/8 = 20/72

and first pick blue 4/9 x sec pick red 5/8 = 20/72

add both up 20/72 + 20/72 = 40/72 = 5/9

6 0

2 years ago

A broker charges 70 per square foot to install windows how much does it cost to install the windows shown

ozzi

XjsikJvenrmbrvr d vetch tmtvtntbrxctvy ft rvrnhwksixucjmevectvtggt

8 0

2 years ago

Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore,

ololo11 [35]

Answer:

From the graph attached, we know that $\angle 1 \cong \angle 5$ by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like $\angle 1$ and $\angle 5$ .

We also know that, by definition of linear pair postulate, $\angle 3$ and $\angle 1$ are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.

They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that $\angle 3$ and $\angle 1$ together are 180°, because they are on a straight angle. That is, $m \angle 3 + m \angle 1 = 180\°$

If we substitute $\angle 5$ for $\angle 1$ , we have $m \angle 3 + m \angle 5 = 180\°$ , which means that $\angle 3$ and $\angle 5$ are also supplementary by definition.