Answer:
<em>$284</em>
Step-by-step explanation:
First,<em> find 1/3 of 426 by multiplying 1/3*426</em>
With your answer <em>(142)</em>, subtract that from the total in your checking account.
<em>426-142=284</em>
This means, After withdrawing the amount she will use to pay bills, Her left over total will be <em>284 dollars.</em>
Answer:
z = 110
Step-by-step explanation:
The measure of an angle created by the intersection of two secants outside a circle is half the difference of the angles it intercepts. In this it would be:
2x + 15 = 1/2 * (10x + 20 - 80)
We can now solve:
4x + 30 = 10x - 60
30 = 6x - 60
6x = 90
x = 15
This means the values of 10x + 20 is 10(15) + 20, which is 170.
Now, we can add up all the arcs in a circle, which sum to 360 degrees:
360 = z + 170 + 80
360 = z + 250
z = 110
Area of trapezoid = 1/2 (sum of parallel sides) × (perpendicular distance between them)
DС = 2 + 12 + 2 = 16 in
Area = 1/2 (16 + 12) × 9 = 14 × 9 = 126 in²
It would be I think it would be social science
Answer:

Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes. Mathematically, this is

In this problem, we have that:
Desired outcomes:
There are 52 cards, of which 13 are diamonds.
We want non diamond cards, so 
Total outcomes:
Deck of 52 cards, so 
Probability
