The 2nd number line model represents 1 + ( -3 ).
Answer:
<h3>77</h3>
Step-by-step explanation:
If Point D is in the interior of <ABC, then <ABD+<BDC = <ABC
Given
<ABC = 10x - 7,
<ABD = 6x + 5
<DBC = 36
Substituting the given parameters into the formula above;
ABD+<DBC = <ABC
6x + 5+ 36 = 10x-7
6x+41 = 10x-7
collect like terms
6x-10x = -7-41
-4x = -48
divide both sides by -4
-4x/-4 = -48/-4
x = 12
To get <ABD, we will substitute x = 12 into the expression <ABD = 6x + 5
<ABD = 6(12)+5
<ABD = 72+5
<ABD =77
Hence the value of <ABD is 77
Answer:
slope is 1
Step-by-step explanation:
because if you picked any 2 points on the line it would be the same rise over run
Step-by-step explanation:
x intercept y=0
0 = 16x^2 - 60x -16
0 = 16x^2 + 4x - 64x - 16
0 = 4x (4x + 1) - 16 (4x + 1)
0 = (4x - 16) (4x + 1)
4x - 16 = 0 or 4x +1 = 0
4x = 16 or 4x = -1
x = 4 or x = -1/4
(4,0) and ( -1/4,0)