Answer:
101
Step-by-step explanation:
The theorem to use this is the intercepted arc theorem, which tells us that if we take 2 points on the circumference of a circle and create an angle in the opposite side of the circumference, that angle is HALF that of the ARC intercepted.
If we look at 100 degree angle, we see the ARC intercepted is 99 degree and a degrees. According to theorem, we can say:
99 + a = 2(100)
99 + a = 200
a = 200 - 99
a = 101
Your answer is -43/6
1/12(4+6x3)-9
=1/12(22)-9
=11/6-9
=11/6-54/6
=-43/6
Answer:
a=7.75
Step-by-step explanation:
19 = 4a − 12. 19+12=31. 31/4=7.75
Answer:
f(x) = -8
Step-by-step explanation:
f(x) = x² + 2x – 8
f(x) = (-2)² + 2(-2) – 8
f(x) = (-2)² + 2(-2) – 8
f(x) = 4 + (-4) – 8
f(x) = 4 – 4 – 8
f(x) = 0 – 8
f(x) = -8
I hope this helps
Answer:
The cost of 1 doll = $ 7.5
and The Cost of 1 toy train = $ 5
Step-by-step explanation:
Let the price of 1 doll = $ x
The price of 1 toy train = $ y
Now, according to the question:
6 x + 2 y = $ 55
and 4 x + 7 y = $ 65
Solving the given system of equation,
From (1), we get
or, solving for y , we get
110y - 4y + 21 y = 195
or, 17 y = 85
⇒ y= 85/17 = 5
This implies : 6 x + 2 (5) =55
or, 6x = 55 - 10 = 45
or, x = 45/ 6 = 15/2
Hence, the cost of 1 doll = x = $ 7.5
and the Cost of 1 toy train = y = $ 5
