The next term in a sequence Comes from adding the previous two terms. Find the missing terms below.
2,
,9
, 25,
66

Step-by-step explanation:

Each new term is the sum of the two preceding terms.  Given 2, 9, etc., we see that a number between 2 and 9 is missing; call it x.  Then 2 + x must equal 9, and so x = 7, and so the first three terms are 2, 7, 9.  Repeating the process, we add 7 and 9, obtaining 16; thus the first four terms are 2, 7, 9, 16.  Continuing this pattern, we add 9 and 16 to obtain the fifth term, which is 25:  2, 7, 9, 16, 25.  And so on.

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.

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36