Answer:
measure of ∠ABD = 42°
Step-by-step explanation:
Angle Formed by Tangent and Secant = (1/2)*(difference of Intercepted Arcs)
In this case the intercepted arcs are: minor arc AC and minor arc AD. Let´s first find minor arc AD, we know that:
minor arc AC + minor arc CD + minor arc AD = 360°
Then,
minor arc AD = 360° - minor arc AC - minor arc CD
minor arc AD = 360° - 72° - 132°
minor arc AD = 156°
Replacing in the aforementioned formula:
Angle Formed by Tangent and Secant = (1/2)*(difference of Intercepted Arcs)
∠ABD = (1/2)*(minor arc AD - minor arc AC)
∠ABD = (1/2)*(156° - 72°)
∠ABD = 42°
The answer is 192 y^8.
(4y^2)^3 = 64y^6
64y^6 • 3y^2= 192y^8
When “multiplying” a number with an exponent, you add the 2 exponents.
Step-by-step explanation:
mean of cheese = 99+8+10/3 = 117/3 = 39
mean of butter = 41+16+0/3 = 57/3 = 19
mean of non fat dairy milk = 255+8+15/3 = 278/3 = 92.6~93
median of cheese 8, 10, 99 median is 10
median of butter 0, 16, 41 median is 16
nonfat dairy milk 8, 15, 255 median is 15
range of cheese 99-10 = 88
range of butter 41-16 = 25
range of nonfat dairy milk = 255-8 = 247
1) 5x - 6y = -32 --> equation 1
3x + 6y = 48 --> equation 2
eliminating y from both of the equations and adding the rest of the terms
we get,
8x = 16
dividing 8 on both sides
x = 2
Substituting the value of x in equation 1
5(2) - 6y = -32
10 - 6y = -32
-6y = -12 ( dividing both sides by -6)
y = 2
2) -3x - 3y = 9 ---> equation 1
3x - 4y = 5 --> equation 2
eliminating x from both equations and adding the rest of the terms
we get,
-7y = 14 ( dividing both sides by -7 )
y = -2
Substituting the value of y in the equation 1
-3x - 3(-2) =9
-3x + 6 = 9 (subtracting both sides by -6)
-3x = 3
x = -1
Hope this helps you.. :)
