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Mathematics

2 answers:

Brut [27]3 years ago

7 0

Answer:

x=9

14x=126

6x=54

Step-by-step explanation:

No explanation

LenKa [72]3 years ago

3 0

Answer:

x=9

14x=126

6x=54

Step-by-step explanation:

So we know that the angles of a quadrilateral add up to 360, this fact will give us the base knowledge to come up with the equation to solve this problem.

We also know that angles diagonal from each other are equal because the lines are parallel.

First we need to find x

2(14x)+2(6x)=360

x=9

now that we know what x equals we can substitute it for 9

14x would be 14(9)

14x=126

6x would be 6(9)

6x=54

In order to check it, take the original equation 2(14x)+2(6x)=360 and substitute 14x for 126 and 6x for 54

2(126)+2(54)=360 <-- this is correct

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The right triangle shown has angles X, Y, and Z and side lengths a, b, and

laiz [17]

So attached is a picture of the triangle you are talking about and listed under are the choices:

A.) Cos Z=b/c
B.) Sin X=c/b
C.) Tan X=b/a
D.) Tan Z=a/b

The answer would then be B. SinX = c/b.

Just remember SOH CAH TOA:

Sinθ= Opposite Cosθ = Adjacent Tanθ= Opposite
Hypotenuse Hypotenuse Adjacent

Using the triangle in the scenario, you just need to identify which side is which.

Given m∠Z
Adjacent = b
Opposite = a
Hypotenuse = c

SinZ= a CosZ = b TanZ= a
c c b

Given m∠X:

Adjacent = b
Opposite = a
Hypotenuse = c

SinX= b CosX = a TanX= b 
c c a

So the answer is B.

Attached is a picture of how I assigned the sides depending on the angle used.