To reduce down a fraction you can try to find factors that go in both the numerator (top # of fraction) and denominator (bottom #)
So, for 6/9, 3 goes in both of them. When you divide each number by 3 you get:
2/3
Answer:
smaller: 30°
larger: 150°
Explanation:
1) Given: sinθ = 1/2
2) That is a notable value.
You know that sine ratio is 1/2 for angles 30° and 180 - 30° = 150°
3) Therefore the angles are: smaller= 30°, larger = 150°
Step-by-step explanation:
x+3y=12--(1)
x=-6y--(2)
put (2) in (1)
-6y+3y=12
-3y=12
divide both sides by -3
y=(12/-3)
y=-4
put y=-4 in (1)
x+3(-4)=12
x-12=12
x=12+12
x=24
m∠ZAB + m∠CAB = 180° by the angle addition postulate
m∠CAB + m∠ACB + m∠CBA = 180° because of the triangle angle sum theorem
m∠ZAB = m∠ACB + m∠CBA using the subtraction property
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
m∠ZAB + m∠CAB = 180° by the angle addition postulate
m∠CAB + m∠ACB + m∠CBA = 180° because of the triangle angle sum theorem
m∠ZAB = m∠ACB + m∠CBA using the subtraction property
Find out more on equation at: brainly.com/question/2972832
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We need to create an equation in order to solve this problem.
Let x = the smallest number
x+1 = next number
x+2 the following number
x+3
x+4
x+5
x+6
So, we add those.
x+x+1+x+2+x+3+x+4+x+5+x+6=105
7x+21=105
7x = 84
x = 12
So the numbers are
12,13,14,15,16,17,18