Answer:
Perpendicular slope is
or
.
Step-by-step explanation:
Given:
Let the perpendicular slope be x.
The given slope is 
For perpendicular slopes, the product of the slopes is equal to -1.
Therefore, 
Therefore, the perpendicular slope is
or
.
Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
Answer:
<h3>The event

denotes the complement of event A.</h3><h3>The value of

is 0.001</h3>
Step-by-step explanation:
Given that A denotes some event .
And also given that P(A)=0.999
<h3>To find the value of

:</h3>
Here the event
denotes the complement of event A Therefore
contains all the events that does not occur in A.
We know that the total probability is 1
So we have that




Hence the complement of event A is 
<h3>Therefore the value is

</h3>
Answer:
M, Z
O, X
P, W
N, Y
Step-by-step explanation:
They are all Alternate Exterior Angles.
<em>Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!</em>