Given:
In triangle XYZ, x = 27 cm, y = 79 cm and
.
To find:
The length of z.
Solution:
In triangle XYZ, using the Law of cosine, we get

Putting the given values in the above formula, we get




Taking square root on both sides.


Approx the above value to the nearest number and side length cannot be negative. So,

Therefore, the length of z is about 102 cm.
The simplified form of the given expression is
.
Given expression,
.
We have to simplify the above expression.
So, 
First solve for the square root,



Hence the simplified form of the given expression is
.
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Answer & Step-by-step explanation:
For this problem, we will be doing subtraction. First, we need to find the measurement of the angle beside the angle that measures 95°. We can do this by subtracting 95 from 180 because those angles are a linear pair meaning their measurements equal 180°.
180 - 95 = 85
So, the measurement of that angle is 85°. Now that we know this measurement, we can find the value of x. We can do this by adding 60 to 85 and then subtracting that sum from 180. All triangles have a total interior angle sum of 180°.
180 - (60 + 95)
180 - 155
25
So, the value of x is 25°
Answer:
B?
Step-by-step explanation: