The answer for this problem is that x = 60°, or B.
We can solve this problem by using our knowledge of quadrilaterals. In this problem, we need to know that the number of degrees in a quadrilateral is equal to 360, but, the formula to find the number of degrees in a polygon with n sides is (n-2) * 180.
Now that we know that the sum of the angles if 360°, we can add all the angles and solve for x. The angles with the squares are 90°.
2x° + x° + 90° + 90° = 360°
Get x by itself, combine like terms.
3x° + 180° - 180° = 360° - 180°
3x° = 180°
x = 60°, or B.
A. 5 digit code with digits from 0-9 with no repetition.
Choices for 1st digit=10, and choices for successive digits are 9,8,7,6.
Probability of guessing it correctly on first try is
1/(10*9*8*7*6) = 1/30240
B. If zero is not in the combinations, then the domain of digits is 1-9, or 9 choices. Digits can repeat means every digit in the code has 9 choices.
Number of arrangements = 9^5 = 59049
Probability of guessing at first try = 1/59049
Answer:
D
Step-by-step explanation:
it is a quadratic trinomial
<h3>
Answer:</h3>
y = (1/2)x - 5
<h3>
Step-by-step explanation:</h3>
Try the answers:
... -4 ≠ (1/2)·2 + 5
... -4 ≠ (1/2)·2 - 3
... -4 = (1/2)·2 - 5 . . . . . the third choice works
... -4 ≠ (1/2)·2 + 3
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You can write the point-slope form equation and simplify.
... y -k = m(x -h) . . . . . . equation for line of slope m through point (h, k)
... y -(-4) = (1/2)(x -2) . . . filled in with your values, m=1/2, (h, k) = (2, -4)
... y = (1/2)x -1 -4 . . . . subtract 4, eliminate parentheses
... y = (1/2)x - 5 . . . . . simplified. (Matches the 3rd selection.)
