over 5 days 8,208 people visited the amusement park about how people visited the park per day using rates
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Answer:
The true statements are:
m∠ 3 + m∠ 4 = 180° ⇒ 1st
m∠ 2 + m∠ 4 + m∠ 6 = 180° ⇒ 2nd
m∠ 2 + m∠ 4 = m∠ 5 ⇒ 3rd
Step-by-step explanation:
* Look to the attached diagram to answer the question
# m∠ 3 + m∠ 4 = 180°
∵ ∠ 3 and ∠ 4 formed a straight angle
∵ The measure of the straight angle is 180°
∴ m∠ 3 + m∠ 4 = 180° ⇒ <em>true</em>
# m∠ 2 + m∠ 4 + m∠ 6 = 180°
∵ ∠ 2 , ∠ 4 , ∠ 6 are the interior angles of the triangle
∵ The sum of the measures of interior angles of any Δ is 180°
∴ m∠ 2 + m∠ 4 + m∠ 6 = 180° ⇒ <em>true</em>
# m∠ 2 + m∠ 4 = m∠ 5
∵ In any Δ, the measure of the exterior angle at one vertex of the
triangle equals the sum of the measures of the opposite interior
angles of this vertex
∵ ∠ 5 is the exterior angle of the vertex of ∠ 6
∵ ∠2 and ∠ 4 are the opposite interior angles to ∠ 6
∴ m∠ 2 + m∠ 4 = m∠ 5 ⇒ <em>true </em>
# m∠1 + m∠2 = 90°
∵ ∠ 1 and ∠ 2 formed a straight angle
∵ The measure of the straight angle is 180°
∴ m∠1 + m∠2 = 90° ⇒ <em>Not true</em>
# m∠4 + m∠6 = m∠2
∵ ∠ 4 , ∠ 6 , ∠ 2 are the interior angles of a triangle
∵ There is no given about their measures
∴ We can not says that the sum of the measures of ∠ 4 and ∠ 6 is
equal to the measure of ∠ 2
∴ m∠4 + m∠6 = m∠2 ⇒ <em>Not true</em>
<em></em>
# m∠2 + m∠6 = m∠5
∵ ∠ 5 is the exterior angle at the vertex of ∠ 6
∴ m∠ 2 + m∠ 6 = m∠ 5 ⇒ <em>Not true</em>
Maricella’s strategy is incorrect as the values added on the left and right side of the equation changes the original equation to
.
Further explanation:
Maricella begin by adding on the left side of the equation and
on the right side of the equation
.
The value added on the left is equal to zero so it does not change the equation but the value added on the right is 2, a non-zero digit so it changes the equation as shown below.
Therefore, the strategy used by Maricella will change the equation and so the solution of the equation will be incorrect.
One way of solving such a linear equation is by adding or subtracting the required value on each side of the equation. and then simplifying the further equation.
Similarly, the other way to solve any linear equation is by separating the variable terms on one side of the equation and constant terms on the other side of the equation.
After this simplify the linear equation to obtain the solution of the equation for .
Whereas Maricella’s strategy fails to solve the equation since the values added and subtracted in the equation changes the original equation completely.
Learn more:
1. Linear equation application brainly.com/question/2479097
2. To solve one variable linear equation brainly.com/question/1682776
3. Binomial and trinomial expression brainly.com/question/1394854
Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Linear equation
Keywords: equation, linear equation, Maricella, right side, left side, strategy, solve for , adding, subtracting, variable, constant, solution of the equation, value, original equation, variable terms, constant terms.
