Im not sure how to find the missing angle

Step-by-step explanation:

the question is asking for the length of the side labeled x

use Pythagoras'  theorem to find that side

where c = x   because c represents the hypotenuse in the theorem and x is on the hypotenuse in this problem

c =

sooo  plug in a = 14 and b = 10

c =

c =

c =

c= 17.20465.....  ( that's the approx. length of side x in the problem )

since this is a right triangle we could use trigonometry to find the two angles use SOH CAH TOA  to remember how those functions fit on the triangle.

Sin(Ф)=Opp/Hyp  Cos(Ф)=Adj/Hyp  Tan(Ф)=Opp/Adj

since we know the Hyp (hypotenuse) and the side adjacent will be the side with the 10 soooo...

Cos(Ф)=10/17.20465

Ф = arcCos(10/17.20465)

Ф = 54.4623°  is the angle on the side with 10

the side with 14 then has an angle of 35.5376°

:)

ipuy6tygy

step-by-step explanation:

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".