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alexgriva [62]
2 years ago
7

Find the value of z,x and y

Mathematics
1 answer:
igomit [66]2 years ago
5 0

Answer:

it is 20?

Step-by-step explanation:

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In a triangle ABC, if <B = 60° and the ratio of two sides is a: c= 2: square root 3+1, then <A=
slavikrds [6]

Your answer is 75°.

To answer this question you need to use both the cosine rule and the sine rule. First, we need to find the length of side b by using the cosine rule, where a = 2 and c = √3 + 1. Then you substitute these into the equation:

b² = a² + c² - 2×a×c×cos(B)

b² = (2)² + (√3 + 1)² - 2×2×(√3 + 1)×cos(60)

b² = 4 + 4 + 2√3 - (4 - 4√3)×0.5

b² = 8 - 2 = 6

b = √6

Then you use this length in the sine rule, and find the angle:

\frac{sin(A)}{\sqrt{3}+1 } =\frac{sin(60)}{\sqrt{6} }

sin(A) = (√6 + √2)/4

A = 75

I hope this helps! Let me know if you have any questions

7 0
3 years ago
Help me please, help
emmainna [20.7K]

Answer:

x>0

Step-by-step explanation:

3 0
3 years ago
Question 8
Lelechka [254]

Answer:

$695.88

Step-by-step explanation:

579 + 32 = 611

8% of 611 = 48.88

611 + 48.88 = 659.88

Stay safe! <3

6 0
3 years ago
Can someone actually help me with this
Komok [63]

Answer: X = 30*

All circles = 360*

we can subtract 260 from that because we know the length of one so we know the other is 130.

We are then left with only 100 and we know the two sides are equivalent so 100 / 2 = 50

6 0
3 years ago
The complement of a right angle is an obtuse angle. true or false.
Genrish500 [490]
False because the obtuse angle is to large to complement the right angle to diffrent angles can not be both of their compliments
6 0
3 years ago
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