Answer:
Therefore, Sara’s current age (5 years later) is 19 years old.
Step-by-step explanation:
Let xx be Sara’s age five years ago. Therefore, Sara’s aunt’s age 5 years ago is 4x4x.
The difference in their ages is a constant, no matter how many years have gone by. (Can you see why?)
4x−x=42
3x=42
x=42/3
x=14
14+5=19
Therefore, Sara’s current age (5 years later) is 19 years old.
Answer:
0, 1, or 2 solutions
Step-by-step explanation:
The equation |ax + b| = c
The equation have absolute value symbol
Absolute value always gives us the positive number.
For absolute value function , we need to consider two cases
positive and negative.
|x|=x for positive , and |-x|=x for negative case
For negative case we include negative sign
So |ax + b| = c can be written as 2 equations
(ax+b)=c (ax+b)=-c
So we will get maximum of 2 solutions
The equation |ax + b| = c must have 0, 1, or 2 solutions
I cannot answer this because there is no question.
4/37 is the answer to your problem
Answer:
See the attached figure which represents the problem.
As shown, AA₁ and BB₁ are the altitudes in acute △ABC.
△AA₁C is a right triangle at A₁
So, Cos x = adjacent/hypotenuse = A₁C/AC ⇒(1)
△BB₁C is a right triangle at B₁
So, Cos x = adjacent/hypotenuse = B₁C/BC ⇒(2)
From (1) and (2)
∴ A₁C/AC = B₁C/BC
using scissors method
∴ A₁C · BC = B₁C · AC
