I'll do part (a) to get you started.
The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.
We also see that b = 123 as well since a = b (they are vertical angles).
Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.
c+123 = 180
c = 180-123
c = 57
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To summarize, we have these three angles
a = 123
b = 123
c = 57
Answer:
a. $17.83
b. $82.17
Step-by-step explanation:
a.
We need to find total cost of all the items.
2 package of pencil for 1.98 each: Total = 1.98 * 2 = 3.96
1 binder for 7.69: Total = 7.69
1 divider for 2.69: Total = 2.69
1 pencil box for 3.49: Total = 3.49
We sum all of these to get:
3.96 + 7.69 + 2.69 + 3.49 = $17.83
b.
She only spent 17.83 and she had 100 dollars. So we subtract amount spent (17.83) from total (100) to get remaining balance.
100 - 17.83 = $82.17
Answer:
z=-32
Step-by-step explanation:
5=z/-4 -3
+3 +3
(-4)8=z/-4(-4)
-32=z
Answer:
c = 5
Step-by-step explanation:
We can find a, b, c by filling in values from the table into the equation:
17 = a(2²) +b(2) +c
32 = a(3²) +b(3) +c
53 = a(4²) +b(4) +c
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There are numerous ways to solve 3 linear equations in 3 unknowns. We can use elimination.
Subtracting the first equation from each of the other two, we get ...
15 = 5a +b . . . . . . . . . note that c has been eliminated from the equations
36 = 12a +2b
Subtracting twice the first from the second gives ...
(12a +2b) -2(5a +b) = 36 -2(15)
2a = 6
a = 3
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Now that we have a value for "a", we can "back substitute" into the equations to find "b" and "c".
Substituting this into 15 = ..., we get ...
15 = 5(3) +b
0 = b
And substituting for "a" and "b" in the first original equation gives ...
17 = 4(3) +c
5 = c
The value of c, the constant of the function, is 5.
Total: 10
P = 4/10
P = 2/5
The probability is 2/5
