Sarah‘s mother is 28 years older than Sarah is their combined age is 50 how old is Sarah how old is Sarah‘s mom

39 years old

Step-by-step explanation:

First find Sarah's age.

It is said that their ages sum up to 50 and that Sarah's mother is 28 years older than Sarah.

Assume Sarah's age is x.

Sarah's mother's age would be: x + 28.

The expression would therefore be:

x + (x + 28) = 50

2x + 28 = 50

2x = 50 - 28

x = 22/2

x = 11

Sarah is 11 which means her mom is:

= 11 + 28

= 39 years old

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %

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.