Answer:
- a) Plots are similar
- b) x= 5577 feet
Step-by-step explanation:
<em>Refer to attached</em>
<h3>Question</h3>
- a) Are the plots of land similar?
- b) Find to the exact value of x and rounded to the nearest tenth?
<h3>Solution</h3>
The small triangle have missing angle of 180° - (52° + 58°) = 70°
This is indicating both triangles have same 3 angle measures.
Since all angles are same, the triangles are similar.
<u>Corresponding sides, against corresponding angles are:</u>
<u>As per property of similarity, the ratio of corresponding sides is same</u>
- 6180/8240 = x/7436
- x = 6180*7436/8240
- x = 5577 feet
Answer:
- (x - 3y)(3x + y)
Step-by-step explanation:
Given
(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL
= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute
= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms
= - 3x² + 8xy + 3y² ← factor out - 1 from each term
= - 1(3x² - 8xy - 3y²) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.
product = 3 × - 3 = - 9 and sum = - 8
The factors are - 9 and + 1
Use these factors to split the xy- term
3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )
= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term
= (x - 3y)(3x + y)
Thus
(x + 2y)² - (2x - y)² = - (x - 3y)(3x + y)
Answer:7x + -5y = -28
(-4, _)
(1, _)
(_, 14)
Step-by-step explanation:
The explanation of using Literal equations to solve for a given variable is as explained below.
How to solve Literal Equations?
Literal equations are equations containing two or more variables; at least one independent variable and one dependent variable
To solve a literal equation means to rewrite the equation so a different variable stands alone on one side of the equals sign. We have to be told for which variable we want to solve.
Linear equations in one variable may take the form ax + b = 0 and are solved using basic algebraic operations.
We begin by classifying linear equations in one variable as one of three types: identity, conditional, or inconsistent. An identity equation is true for all values of the variable.
Read more about Literal Equations at; brainly.com/question/1852246
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the answers is
1 Inch = 4 Feet
Here is the explanation -
the side of square = 12
length of Ground - 48
ratio of length = 12 /48
= 1/4
1 : 4
bye
