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Andreyy89
3 years ago
9

PLEASE PLEASE PLEASE HELP!! Explanations on how to set it up would be great!

Mathematics
1 answer:
mafiozo [28]3 years ago
3 0
Answer: X= 5

because in a rhombus the diagonals bisect the angle (cut the angle in half) so you just need to set the to equations equal to each other
 2x+4=5x-11
then you solve
you subtract the 2x from the 5x 
4=3x-11 
then you add the 11 to the 4 and you end up with 
15=3x 
you want X by its self so you divide both sides by 3 and you end up with 
X=5<span />
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y = \frac{(x-5)(x+1)}{(x+4)(x-3)}
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3 years ago
The law of cosines is used to find the measure of Z.
Shtirlitz [24]

Answer:

C. Z=51^{\circ}

Step-by-step explanation:

We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.

Law of cosines: c^2=a^2+b^2-2ab\cdot \text{cos}(C), where, a, b and c are sides opposite to angles A, B and C respectively.

Upon substituting our given values in law of cosines, we will get:

16^2=19^2+18^2-2(19)(18)\cdot \text{cos}(Z)

256=361+324-684\cdot \text{cos}(Z)

256=685-684\cdot \text{cos}(Z)

256-685=685-685-684\cdot \text{cos}(Z)

-429=-684\cdot \text{cos}(Z)

\frac{-429}{-684}=\frac{-684\cdot \text{cos}(Z)}{-684}

0.627192982456=\text{cos}(Z)

\text{cos}(Z)=0.627192982456

Now, we will use inverse cosine or arc-cos to solve for angle Z as:

Z=\text{cos}^{-1}(0.627192982456)

Z=51.1566718^{\circ}

Z\approx 51^{\circ}

Therefore, the measure of angle Z is approximately 51 degrees.

6 0
3 years ago
Read 2 more answers
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