Answer:
x = 100°
Step-by-step explanation:
p and q are parallel lines. Construct line 'l' parallel to p and q
a = 30° {p// l when parallel lines are intersected by transversal alternate interior angles are congruent}
c +110 = 180 {linear pair}
c = 180 - 110
c = 70°
b= c {q // l when parallel lines are intersected by transversal alternate interior angles are congruent}
b = 70°
x = a + b
x = 30° + 70°
x = 100°
Every day, the volume increases by 24 1/2+15 1/4=39 3/4 gallons. So after 5 days, the volume increases by 39 3/4 * 5 = 795/4= 198.75 gallons
Answer:
2,205 cubic inches
Step-by-step explanation:
N + 1 = 4(n – 8)
Use distributive property for this part: 4(n – 8) ----> 4n - 32
n + 1 = 4n - 32
Get the variable on one side:
n + 1 = 4n - 32
-n -n
1= 3n - 32
Get the variable on its own:
1= 3n - 32
+32 +32
33 = 3n
Divide by 3 on both sides:
33/3 = 3n/3
n = 11
The graph looks like this, on the enclosed pic:
One feature is that it's periodic and torn (has cut-off points), meaning the domain is the same as in case of tan(x): x€R and x =/= π/2+πn.
The range equals the range of arcsin(x): -π/2<=y<=π/2 OR y€[-π/2;π/2]
Hope could understand and if it helped! :)