
x² - x - 12 ≠ 0
x² - 4x + 3x - 12 ≠ 0
x (x - 4) + 3 (x - 4) ≠ 0
(x + 3)(x - 4) ≠ 0
x ≠ -3 or x ≠ 4
(B)
Find : Which statements are always true regarding the triangle
m∠5 + m∠3 = m∠1
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Solution:
External angle of triangle = Sum of opposite interior angles
m∠1 = m ∠3 + m∠5
m∠4 = m ∠2 + m∠5
m∠6 = m ∠2 + m∠3
There are many shapes of a star. It depends on the shape of the star. If you’re referring to this star, then the number of triangles is 5.
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Let's work on Sections. The top rectangle has an area of 54 (6x9) the base rectangle has an area of 360 ((9+6+9+5)×12) and the bottom rectangle has an area of 54 (9×6) now we add and we get 468. thus the answer is C.
The pond will be full by the end of the day in 93 days.
<h3>Linear system</h3>
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The pond can hold 400 water liters.
y = 3.915(1.106)x is an expression.
<h3>To find </h3>
The pond will be full by the end of the day.
<h3>How many days it will take?</h3>
Let x be the day and y be the hold of water.
When pond can hold 400 liters of water the x will be
400 = 3.915×1.106x
400 = 4.33 x
x = 92.37 ≈ 93
Thus, the pond will be full by the end of the day in 93 days.
More about the linear system link is given below.
brainly.com/question/20379472