Convert 1 3/5 to an improper fraction;
-1 × 5 + 3/5 ÷ -2/3
Simplify 1 × 5 to 5
-5 + 3/5 ÷ -2/3
Simplify 5 + 3 to 8
-8/5 ÷ -2/3
Use this rule: a ÷ b/c = a × c/b
-8/5 × 3/-2
Use this rule; a/b × c/d = ac/bd
-8 × 3/5 × - 2
Simplify 8 × 3 to 24
-24/5 × -2
Simplify 5 × -2 to -10
- 24/-10
Move the negative sing to the left
-(-24/10)
Simplify 24/10 to 12/5
-(-12/5)
Simplify brackets
12/5
Convert to a mixed fraction
<u>= 2 2/5</u>
Answer:
Equation: (2x + 30) + 106 = 180
x = 22°
Step-by-step explanation:
<u>We know that the missing angle from within the triangle and the expression 2x + 30 makes 180 so we can say;</u>
180 - (33 + 41) = missing angle
180 - 74 = missing angle
<u>106</u>°<u> = missing angle</u>
Now we can set up our equation to solve for x:
(2x + 30) + missing angle = 180°
<u>(2x + 30) + 106 = 180</u>°<u> => This would be our equation:</u>
Now let's solve:
2x + 30 + 106 = 180°
2x + 136 = 180
2x = 180 - 136
2x = 44
x = 44/2
<u>x = 22°</u>
Hope this helps!
