The missing information of the triangle is C = 63°, b ≈ 28.084 and c ≈ 25.084. (Correct choice: C)
<h3>How to determine the missing sides and angles</h3>
In this question we have a triangle with a known <em>side</em> lengths and two known <em>angle</em> measures. First, we find the missing angle by <em>Euclidean</em> geometry:
C = 180° - 94° - 23°
C = 63°
Lastly, we determine the <em>missing</em> sides by law of sines:
b ≈ 28.084
c ≈ 25.084
The missing information of the triangle is C = 63°, b ≈ 28.084 and c ≈ 25.084. (Correct choice: C)
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Answer:
A. -1, multiplicity 1; 0, multiplicity 1; 3, multiplicity 1.
Step-by-step explanation:
Let 
, to determine its roots and multiplicities we proceed to factorize the polynomial:
1) 
Given
2) 
Distributive property
3) 
Quadratic formula/Result
The roots and multiplicities of are:
<em>0 (multiplicity 1)</em>
<em>3 (multiplicity 1)</em>
<em>-1 (multiplicity 1)</em>
Therefore, the correct answer is A.
Answer:
it has no solutions
Step-by-step explanation:
y = mx + b
y = -5x - 1......slope here is -5 and y int is -1
y = -5x + 7....slope here is -5 and y int is 7
Answer:
450 people were at the match
Step-by-step explanation:
So let's make equation :
W = women
M = Men
C = Children
First equation :
M = W + 250
Second equation :
C = 2W
Third equation :
M = 2(W+C)
Let's substitute the second equation into the third :
M = 2(W + 2W)
M = 2W + 4W
M = 6W
Let's substitute this equation into the first one :
6W = W + 250
5W = 250
W = 50
Now we know that that there were 50 women at the match and can substitute this value for the first equation and then the second :
M = 50 + 250
M = 300
This means that there must have been 300 men at the match.
C = 2(50)
C = 100
This means that there must have been 100 children at the match.
Adding all values together gives us :
50 + 300 + 100 =
450 people were at the match
Hope this helped and have a good day
Answer:
x < 6
Step-by-step explanation:
treat it as a normal equation
