Answer:
x = 2.3
Measure of arc XY = 76° ⇒ answer (D)
Step-by-step explanation:
∵ arc XY congruent to arc YZ
∴ XY = YZ ⇒ chords subtended by equal arcs are equal
∴ 3x = 6.9 ⇒ x = 6.9/3
∴ x = 2.3
In ΔOXY
∵ OX = OY radii
∴ m∠OXY = m∠OYX
∵ m∠OXY = 52°
∴ m∠OYX = 52°
∵ The sum of angles of a Δ = 180°
∴ m∠XOY = 180 - 2 × 52 = 76°
∵ ∠XOY is central angle subtended by arc XY
∴ The measure of arc XY = m∠XOY = 76°
Answer: -25/8
Step-by-step explanation:
Subtract the two equation from each other
-3x-7y=-66
-10x-7y=-24
--------------------
7x =-42
x=-6
by substituting in equation 1
(-3)(-6)-7y=-66
18-7y=-66
-7y=-84
y=12
so to check we substitute in the first equation
(-3*-6)-(7*12)=-66
18-84=-66
-66=-66
we check the second equations
-10(-6)-7(12)=-24
60-84=-24
-24=-24
150 + 30 = 180, right? We need to find 180 on the other side.
180 - 2 = 178
178 / 4 = 44.5
The answer is most likely 44.5. Let me know if I am wrong,
