First of all I want to point out you drew the diagram a little wrong. The Arc is 41 doesn't mean its 41 degrees it means it has length 41 so remove the degrees symbol.
Now for the answer the other arc have to have angle 40 too because vertical angles. And because the radius is the same, both of the length has formula 40/360*pi*2*radius which is 41 in this case. So x has to be 41 also :) Done!
Answer:
b, c e
Step-by-step explanation:
A congruence statement lists corresponding parts in the same order. CPCTC says corresponding parts are congruent.
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To see if any particular statement is consistent with CPCTC, identify the locations of the referenced parts in the congruence statement. If they match, the congruence is true
a. l = r ... jkl = rst . . . . not in the same place
b. jk = rs ... jkl = rst . . . . a match; true
c. k = s ... jkl = rst . . . . a match; true
d. j = s ... inconsistent with (c)
e. kl = st ... jkl = rst . . . . a match; true
f. jl = rs ... inconsistent with (b)
Statements b, c, e are consistent with the congruence statement, and are true by CPCTC.
Answer:
The second one
Step-by-step explanation:
12/10 = 1 2/10 = 1 1/5.
12/10 written as a mixed number in lowest terms would be 1 1/5.
Angle V would have to equal angle Y. That would prove the two are congruent by ASA (angle-side-angle). See how they already have the same angle and side? So the corresponding angles next to the side also have to be equal.
