Answer:
<BAC = 20°
Step-by-step explanation:
It is given in the question that all 9 triangle which are formed are congruent, which means that in all triangles, the angle which is formed at point A is same.
Which means 9 angles collectively can be written as 9 · <BAC
If we consider all the 9 triangles, we can see in the figure that it forms a semicircle.
A semicircle has a total sum of angles equal to 180°
So we can write that:
9 · <BAC = 180°
Simplify for <BAC
<BAC = 20°
Answer:
Lateral surface area = 826.5 m²
Step-by-step explanation:
Formula to calculate the lateral surface area of the triangular prism,
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
Perimeter of the triangular base = 6 + 11 + 12
= 29 m²
Height of the prism = 28.5 m
Therefore, lateral surface area of the prism = 29 × 28.5
= 826.5 m²
A candidate received the majority of first-place votes but loses hows that A. The statement does not make sense.
<h3>What is plurality voting?</h3>
It should be noted that plurality voting simply means when each voter is allowed to vote for only one <em>candidate</em>.
In this case, a candidate received the majority of first-place votes will win the election. Here, the majority of the first place votes using the plurality method is the winner.
Learn more about votes on:
brainly.com/question/3710029
id have to say the best Answer Choice is A. there is an infinite number of solutuons. i hope this helps.
( x² - 1 ) / ( x² + 5 x + 4 ) < 0
x² + 5 x + 4 = x² + 4 x + x + 4 = x ( x + 4 ) + ( x + 4 ) = ( x + 4 ) ( x + 1 )
Therefore:
( x - 1 ) ( x + 1 ) / ( x + 4 ) ( x + 1 ) < 0
( x -1 ) / ( x + 4 ) < 0
1.
x - 1 > 0 and x + 4 < 0
x > 1 and x < - 4 ( not possible )
2.
x - 1 < 0 and x + 4 > 0
x < 1 and x > - 4
Answer: x ∈ ( - 4, 1 ).
