For the first digit there are 7 choices. For the second digit there are 6 choices (because we can't use the same one again). And so on, until there is only one choice for the last digit.
The number of possible codes is this:
7*6*5*4*3*2*1 = 7! = 5040
Three line segments can form a triangle if the length of the longest segment is greater than the sum of the lengths of the shorter segments.
They can form a triangle.
Now if c is the length of the longest side and a and b are the lengths of the shorter sides, then:
- if
, the triangle is right
- if
, the triangle is acute
- if
, the triangle is obtuse
The triangle is obtuse.
The answer is D.
Answer:
d. ∠2 and ∠6
Step-by-step explanation:
Definition : Alternate Exterior Angles are a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.
Option a. ∠3 and∠4
These angles are interior angles.
Option b . ∠1 and∠2
These angles are linear pair.
Option c . ∠1 and ∠6
These angles are outer angles
Option d . ∠2 and ∠6
According to the definition of alternate evterior angles . ∠2 and ∠6 are alternate exterior angles
Hence Option d is pair of alternate exterior angles.
The slope of the given line in the image is -4 , Option A is the answer.
<h3>What is the equation of a straight line ?</h3>
The equation of the straight line is given by
y =mx +c ,
Where m is the slope , C is the intercept
The line is passing through the point
(-1,8) ,(2,-4)
The slope is given by
m = (y₂-y₁) /(x₂-x₁)
m = (-4 - 8 )/(2 +1)
m = -12/3
m = -4
Therefore the slope of the given line in the image is -4 , Option A is the answer.
To know more about Straight Line equation
brainly.com/question/959487
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