36 + 48 + 60 + ….. + n. Find the 10th term of this series

144

Step-by-step explanation:

dn + x

difference is 12

so 12n + x = 36

take n = 1

so x = 24

now when x is 10

12(10) + 24 = 144

144

Step-by-step explanation:

a=36

d=12

a10=a+9d

= 36+9(12)

= 36+108

=144

20%

step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.