Answer:
type of angles is complementary
equation is (3x-5)+x=90
x=23.75
The equation of the median in standard form is; 9y - 38x = 179.
<h3>What is the equation of the media in standard form?</h3>
It follows from the task content that the point D is the midpoint of segment BC; Hence, the coordinates of point D given the coordinates of B and C above are given as; D(-13, -35).
The equation of the median which is the line joining points A and D is therefore determined as follows;
Slope = (-35-3)/(-13-(-4)) = 38/9
38/9 = (y-3)/(x+4)
9y -27 = 38x + 152
9y - 38x = 179.
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1.
y = -4x + 19
y = 19 = -4x
x = - y -19/4
Answer:
The total number of different arrangements is 560.
Step-by-step explanation:
A multiset is a collection of objects, just like a set, but can contain an object more than once.
The multiplicity of a particular type of object is the number of times objects of that type appear in a multiset.
Permutations of Multisets Theorem.
The number of ordered n-tuples (or permutations with repetition) on a collection or multiset of
objects, where there are
kinds of objects and object kind 1 occurs with multiplicity
, object kind 2 occurs with multiplicity
, ... , and object kind
occurs with multiplicity
is:

We know that a boy has 3 red, 2 yellow and 3 green marbles. In this case we have n = 8.
If marbles of the same color are indistinguishable, then the total number of different arrangements is
