Answer:
1) m<1 = 25
2) m<4 = 155
3) m< 5 = 25
4) m<7 = 25
5) 110
6) 30.5
7) 74
Step-by-step explanation:
1)
x + 155 = 180
x = 25
2)
<4 = 155 because of vertical angle thm
3)
<5 = 25 (congruent to <1) b/c of corresponding angles thm
4)
<7 = <5 (25) because of vertical angles thm
5)
5x + 15 = 8x - 42
-3x = -57
x = 19
5(x) + 15
5(19) + 15 = 110
6)
180 - 110 = 70
3x + x + 4 + 70 = 180
4x + 74 = 180
4x = 106
x = 26.5
x+ 4 = 30.5
7)
180 - 115 = 65
x + 4 + 2x + 65 = 180
3x + 69 = 180
3x = 111
x = 37
2x = 74
Opens downward. x-intercept=(-10,0),(6,0). axis of symmetry=x=-2. maximum=(-2,128)
I'll abbreviate the definite integral with the notation,

We're given
Recall that the definite integral is additive on the interval
, meaning for some
we have

The definite integral is also linear in the sense that

for some constant scalars
.
Also, if
, then

a. 
b. 
c. 
d. 
e. 
f. 
Answer:
546
Step-by-step explanation:
300 + (4100*.06)
300 + 246
546
Bottom right
The one with the dotted line and the shading on the left