we know that
The minor arc ST is equal to the angle ∠SOT by central angle
∠SOT=∠ROU ------> by vertical angles
In this problem we have
∠ROU=
substitute
∠SOT=
so
minor arc ST=
Find the major arc SRT
we know that
The major arc plus the minor arc is equal to
minor arc ST+major arc RST=
Solve for major arc RST
major arc RST=
therefore
<u>the answer is</u>
Answer:
x = - 3, y = 4
Step-by-step explanation:
Given the 2 equations
- 2x + y = 10 → (1)
y = - x + 3 → (2)
Substitute (2) into (1), that is
- 2x - x + 3 = 10 ( multiply through by 3 to clear the fraction )
- 6x - x + 9 = 30
- 7x + 9 = 30 ( subtract 9 from both sides )
- 7x = 21 ( divide both sides by - 7 )
x = - 3
Substitute x = - 3 into (2) for corresponding value of y
y = - (- 3) + 3 = 1 + 3 = 4
solution is x = - 3, y = 4