Answer:
Alternate Exterior Angles
Step-by-step explanation:
Alternate exterior angles are two angles on the opposite outer sides of two parallel lines cut by a transversal.
The two angles given, 2 and 7, are alternate exterior angles.
Hope it helps! :)
Answer:
Logarithms are the "opposite" of exponentials, just as subtraction is the opposite of addition and division is the opposite of multiplication. Logs "undo" exponentials. Technically speaking, logs are the inverses of exponentials. On the left-hand side above is the exponential statement "y = bx
Step-by-step explanation:
This form (x+b)²+c is a vertex form that can be found by completing square for the equation <span>x²+440x+440².
To complete square we will need to use formula a² +2ab + b² = (a+b)²
</span> x²+440x+440²,
<span>x² +2*220²x +220² -220² +440² (we added </span>220² -220², so nothing really changed here).
x² +2*220²x +220² -220² +440² ( here , bold part can be rewritten as (x+220)²)
(x+220)² -220² +440² (calculating bold part)<span>
</span>(x+220)² -220² +440² = (x+220)² + 145200
Now we have x²+440x+440², in the form that we need
x²+440x+440² = (x+220)² + 145200
(x+b)²+c = (x+220)² + 145200,
b=220,
c= 145200
So,
c/b = 145200/220 = 660
c/b = 660/1 (if you need it in a fraction form) or 660.
Answer:
10
Step-by-step explanation:
First solve for x. HI = 2x, IJ = 4x - 10, and the whole length HJ = 4x.
So 2x + 4x - 10 = 4x.
6x - 10 = 4x
6x - 4x - 10 = 4x - 4x
2x - 10 = 0
2x - 10 + 10 = 0 + 10
2x = 10
x = 5.
IJ is 4x - 10, so it becomes 4(5) - 10
20 - 10 = 10
100d+120
100 miles x number of days riding + the initial 120 miles
