Answer
132 degrees
Step-by-step explanation:
Strategy: Find angle DEB and using that fact that DEB + DEF is 180 degrees to find angle DEF
The sum of the four angles of any quadrilateral is 360 degrees.
Since three angles are given, we can use that to find the fourth.
360-(147+93+72)=size of angle DEB. Solving, you get angle DEB is 48.
Also, knowing that segment BF is a straight line, it means that angle DEB + angle DEF is equal to a straight angle (180 degrees).
DEB+DEF=180
48+DEF=180
DEF=180-48=132 degrees.
Thus, angle DEF is equal to 132 degrees.
Answer:
The mean of these statistic is 2.18.
Step-by-step explanation:
According to the chart, from 1986-1996, unintentional drug overdose deaths per 100,000 population began to rise.
The given data set is
2, 1, 2, 2, 1, 2, 2, 3, 3, 3, 3
Formula for mean:

Using this formula, the mean of the data is




Therefore the mean of these statistic is 2.18.
Answer:
$31.55
Step-by-step explanation:
She earns $25.75 one week and $37.80 another week that means she earned $25.75 + $37.80 = $63.55 in total
She spent $32 therefore she has $63.55 - $32 = $31.55 left
Answer:
7000
Step-by-step explanation:
because 6532 is closer to 7000 then 6000.
graph A
no x-intercept
no y-intercept
H.A is y = 5
V. A. is x = 0
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Answer: 
<u>Step by step explanation:</u>
log₆(5x + 6) - log₆(x - 4) = 2
log₆
= 2
= 6²
= 36
5x + 6 = 36(x - 4)
5x + 6 = 36x - 144
6 = 31x - 144
150 = 31x
= x
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Answers:
- a. (-1, -5)
- b. up
- c. x = -1
- d.

- e. -2
- f. see attachment
- g. domain (-∞, ∞) range [-5, ∞)
<u>Explanation:</u>
f(x) = 3x² + 6x - 2
a=3 b=6 c=-2
x = 
Axis Of Symmetry: x = -1
f(-1) = 3(-1)² + 6(-1) - 2
= 3 - 6 - 2
= -5
Vertex: (-1, -5)
x = 
= 
= 
= 
= 
= 
x-intercepts: 