Answer:74
Step-by-step explanation:
3x-7= 6x-88
x=27
3 times 27 - 7= 74
They didn't show the picture but i have the same exact problem and this is what i got.
Answer: 74°
Given that ⊙M≅⊙N and XZ◠≅BC◠, find m∠XMZ.
Step-by-step explanation:
It is given that ⊙M≅⊙N and XZ◠≅BC◠.
Since in congruent circles congruent arcs have congruent central angles, ∠XMZ ≅ ∠BNC. By the definition of congruent angles, m∠XMZ = m∠BNC. Substitute the given measures into the equation.
3x − 7 = 6x − 88
Subtract 3x form both sides.
−7 =3 x − 88
Add 88 to both sides.
81 = 3x
Divide both sides by 3.
27 = x
Substitute x = 27 back into the expression for m∠XMZ.
m∠XMZ = (3(27) −7)∘ = 74∘
Therefore, the measure of ∠XMZ is 74∘.
