Answer:
In the given circle, segments OA, OB, OC and OD are radius of the circle.
In other words, all those segments are congruent.
From that we can deduct that triangles OAB and OCD are isosceles triangles, because all segments are equal. That makes those triangles congruent, because they have the same sides.
From the congruence we can deduct that all corresponding internal angles inside those triangles are actually congruent, that's why angle OAB and ODC must be congruent.
Also, angles DOC and BOA are also congruent, which means their subtended arcs are also congruent, because they have the same radius, so mAB = mCD.
Answer:
Universal set is a set which contains all values
Union of Sets : The joining of two or more sets .
Step-by-step explanation:
X + x - 5 + 3x + 25 = 180
5x + 20 = 180
5x = 160
x = 32
m<F = x - 5
m<F = 32 - 5
m<F = 27
9514 1404 393
Answer:
- $14,747 at 9%
- $12,129 at 5%
Step-by-step explanation:
Let x represent the amount invested at 9%. Then the difference in interest amounts is ...
(9%)x -(5%)(26876 -x) = 720.78 . . . . . assuming a 1-year investment
0.14x -1343.80 = 720.78 . . . . . . . . . simplify
0.14x = 2064.58 . . . . . . . . . . . . . . add 1343.80
x = 14,747 . . . . . . . . . . . . . . . . divide by 0.14
$14,747 is invested at 9%; $12,129 is invested at 5%.
Answer: 10(2)=20 and 4(3)=12
Step-by-step explanation:
1) Divide 20 by 2 which would be 10 that gives you the sum of F
2) Divide 12 by 3 which is equals 4 so thats the sum of F for f(3)=12
