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
Answer:
10 makes this equation true
Step-by-step explanation:
2x -4 = 16 /+4
2x= 20 /÷2
x= 10
Test
2(10) - 4 = 16
20 - 4 = 16 Correct
Answer:
Step 1: 0.246 = 246⁄1000
Step 2: Simplify 246⁄1000 = 123⁄500
I'm assuming the function given is y = 9300(0.991)^x
If so, then the base of the exponent 0.991 is in the form 1+r
1+r = 0.991
r = 0.991-1
r = -0.009
The negative r value indicates a percent decrease.
Specifically it is a 0.9% decrease since 0.009 = 0.9/100 = 0.9%
Any time you have a percent decrease like this, the exponential function is undergoing decay.
Answer:
5 units.
Step-by-step explanation:
In order to find the distance between the line y = -2x + 1 and the point (-4, 4), we need to find the position of the line at x = -4. Shortest distance between two objects is a straight line, right?
So y = -2(-4) + 1 = 9; (-4, 9).
Finding the distance between (-4, 4) and (-4, 9) gives us the answer of 5.
