Answer:
You would just plug in the x’s for the equations above and that will equal your x
Step-by-step explanation:
for example x=1
the equation is x+5
so y equals 1+5=6
y=6
Step-by-step explanation:
Given

as equation 1.
I used q-p as the difference as logically the woman will be older than her son.
Also given,

as equation 2.
Using equation 2,

substitute this equation into equation 1.

Substitute P into equation 2.

Therefore the woman is 45 years old while her son is 15 years old.
Step-by-step explanation:
m∠1 = 180-100 = 80
m∠2 = 180-150 = 30
m∠3 = 180-(80+30) = 180 - 110 = 70
using the law of sine :
AC/sin(m∠2) = 5/sin(m∠3) ⇒ AC = sin(m∠2)*(5/sin(m∠3)) = sin(30)×(5÷sin(70))
=2.66044443119
CB/sin(m∠1) = 5/sin(m∠3) ⇒ CB = sin(m∠1)*(5/sin(m∠3)) ⇒ CB = sin(80)×(5÷sin(70)) = 5.240052604588
Answer:
Step-by-step explanation:
Hey, this question concerns the inscribed angle theorem.
The formula for this is:
∠ABC = 2*∠ADC
∴ ∠ABC = 40°
For proof, look up 'inscribed angle theorem (or central angle theorem)' on YT.