Answer:
y=10°
Step-by-step explanation:
Here,
→(3x+18)°=(5x-4)°
→18°+4°=5x-3x
→22°=2x
→x=11°
Also,
3(4y+3)°+5x-4°=180°[The sum of the linear pair is 180°]
12y+9°+5x-4°=180°
12y+5°+5×11°=180°
12y+5°+55°=180°
12y=180°-60°
12y=120°
y=120°/12
y=10°
Rule of three
Pages %
204 → 136%
x → 100% (her goal)
x=204*100%/136%
x=150 pages
Answer: Rebeca wants to read 150 pages each day
Answer:
Step-by-step explanation:
t1 = a1
t2 = a1 + d
t3 = a1 + 2d
The sum is t1 + t2 + t3 = a1 + a1 + d + a1 + 2d = 3a1 + 3d
Second question
t1 = a1
t2 = a1 + d
t3 = a1 + 2d
t4 = a1 + 3d
...
tn = a1 + (n - 1)*d
Sum = (a1 + a1 + (n- 1)*d) * n / 2
Sum = (2a1 + nd - d) * n / 2
Sum = (2a1*n + n^2*d - nd) / 2
Pretty sure its D. because it is not a one to one ratio but it doesn't necessarily have to pass through the origin.
Answer:
g(x)=f(x)=12x
Step-by-step explanation:
Since f(x)=g(x) at two points x=−3,−1 , we can tell that g(x) passes through the two points (−3,-32),(−1,−12)
But if g (x)is linear, that means that its graph is a straight line.
And since there is only one way to draw a straight line through two points, there is only one answer for g(x) , and since f(x) is a straight line passing through those two points as well, g(x) has to be equal to f(x)