Answer any 4. 1. (a) Divide the LCM of 5a², 10 ab²c and 15a²c² by their HCF. (b) Simplify (2x + 3)/6 - (x+ 2)/4 2. (a) Factorise a² - 10a - 24. (b) Solve the equation (3 - y)/2 - (y + 2)/3 = 7/3 3.. The interior angle of a regular polygon is 162°. Calculate: (a) the exterior angle of the polygon (b)) the number of sides of the polygon (c) the sum of the interior angles of the polygon. 4. (a) Calculate the value of each interior angle of a regular polygon. (b) Two angles of a pentagon are equal to each other. If the other three angles are 105°, 112° and 128°,find the value of each equal angle. 5. (a) Solve the inequality 2(x - 3) - 5 < 4 + 4x and state two lowest possible values of x. (b) One- third of an odd number added to one- fifth of the next odd number gives a total of 18. Find the odd number. 6. (a) Calculate the length of the diagonal of a rectangular whose length is 15 cm and width is 8 cm. (b) Show that the set of numbers (15,20,25) is a Pythagorean triple. Answer pls its urgent.
Answers
Answer:
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Step-by-step explanation:
Answer any 4. 1. (a) Divide the LCM of 5a², 10 ab²c and 15a²c² by their HCF. (b) Simplify (2x + 3)/6 - (x+ 2)/4 2. (a) Factorise a² - 10a - 24. (b) Solve the equation (3 - y)/2 - (y + 2)/3 = 7/3 3.. The interior angle of a regular polygon is 162°. Calculate: (a) the exterior angle of the polygon (b)) the number of sides of the polygon (c) the sum of the interior angles of the polygon. 4. (a) Calculate the value of each interior angle of a regular polygon. (b) Two angles of a pentagon are equal to each other. If the other three angles are 105°, 112° and 128°,find the value of each equal angle. 5. (a) Solve the inequality 2(x - 3) - 5 < 4 + 4x and state two lowest possible values of x. (b) One- third of an odd number added to one- fifth of the next odd number gives a total of 18. Find the odd number. 6. (a) Calculate the length of the diagonal of a rectangular whose length is 15 cm and width is 8 cm. (b) Show that the set of numbers (15,20,25) is a Pythagorean triple. Answer pls its urgent.
Answer:
simplify
2x+3/6-x+2/4
4x+6-3x-6/12
x/12
factorize
a^2-10a-24
a^2-12a+2a-24
a(a-12) +2(a-12)
(a+2) (a-12)
solve the equation
3-y/2-y+2/3=7/3
9-3y-2y-4/6=7/3
5-5y/6=7/3
-15y=27
y=-27/15