Answer:
Step-by-step explanation:
When two parallel lines are crossed by another line, adjacent angles will always sum to 180 degrees.
x+114=180
x=66 degrees
Answer:
Final result is 3.
Step-by-step explanation:
Quotient = (60 + 30) / 10
= 90/10
= 9.
Difference of quotient and 3
= 9 - 3
= 6
6 / 2 = 3.
Answer:
The solution x = 
Step-by-step explanation:
<u>Step 1</u>:-
Given 
we have to use formula 
=
Again by using formula 

so 
<u>step 2:</u>-


The solution of given problem is 
Using the law of cosines and sines, the measure of angle B is: 38.4°.
<h3>What is the Law of Cosines and Sines?</h3>
Law of cosines is: c = √[a² + b² ﹣ 2ab(cos C)]
Law of sines is: sin A/a = sin B/b = sin C/c
Use the law of cosines to find c:
c = √[12² + 18² ﹣ 2(12)(18)(cos 117)]
c ≈ 25.8
Use the law of sines to find angle B:
sin B/b = sin C/c
sin B/18 = sin 117/25.8
sin B = (sin 117 × 18)/25.8
sin B = 0.6216
B = sin^(-1)(0.6216)
B = 38.4°
Learn more about the law of cosines on:
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Answer:
4 number
Step-by-step explanation:
number of apples purchased to the cost of the apples