3. 49
4. 26
u just add up all the sides then subtract it from 180
Answer:
see explanation
Step-by-step explanation:
y = ax + b is the equation in slope- intercept form
where a is the slope of the line and b is the y- intercept
To find a use the slope formula
a = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (1, - 2)
a = 
= - 
= - 0.75, hence
y = - 0.75 + b
To find b substitute either of the 2 points into the equation
using (1, - 2), then
- 2 = - 0.75 + b ⇒ b = - 2 + 0.75 = - 1.25 = - 1 
Answer:
1) <11 and <14 are Same-Side Exterior Angles causing them to be supplementary.
2. <8 and <9 are Same-Side Interior Angles causing them to be supplementary.
Step-by-step explanation:
See answer above.
Answer:
Vertex (5 ,-9)
Step-by-step explanation:
Given : Function f(x) = (x – 8)(x – 2).
To find : What is the vertex of the quadratic function .
Solution : We have given that f(x) = (x – 8)(x – 2).
On removing parenthesis
f(x) = x²-2x -8x +16.
f(x) = x²-10x +16.
We need to find vertex of this function ,
Vertex: (h, k)
h = -
.
Plugging values
h = -
.
h = 5 this is the x- coordinate,
Now , we will plug x= 5 in quadratic function .
k = (5)²-10(5)+16.
k = 25-50 + 16
k= -9.
Vertex (5 ,-9)
Therefore, Vertex (5 ,-9).
Answer:
1/10 or 0.1
Step-by-step explanation:
Probability of occurrence of any event = number of favorable event by total /number of occurrence of event.
For Sarah
Given Number of frames = 18
Number of strikes made by her = 5
Therefore by using the above formula to get the probability of striking by Sarah will be 5/18.
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For David
Given Number of frames = 25
Number of strikes made by him = 9
Therefore by using the above formula to get the probability of striking by David will be 9/25.
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Since the event of Sarah and David are mutually independent i.e occurrence of one event does not impact the occurrence of other event.
Probability of occurrence of two mutually independent A and B event with Probability P(A) and Probability P(B) is given by P(A) * P(B).
Therefore probability that they both get a strike on their next frame are mutually independent event with probability 5/18 and 9/25 will be calculated by 5/18 * 9/25 = 1/(2*5) = 1/10.
