Answer:
∠a and ∠d; ∠b and ∠c
Step-by-step explanation:
The two triangles as similar triangles and the scale factor is 2 : 1
The sides measuring 6 and 3 are corresponding sides
The sides measeuring 8 and 4 are ocrreposnding sides
⇒ ∠a and ∠d are corresponding angles
The sides measuring 8 and 4 are corresponding sides
The sides measeuring 4 and 2 are ocrreposnding sides
⇒ ∠b and ∠c are corresponding angles
The plot of land forms right triangle.
Step-by-step explanation:
Let,
the three sides are a,b and c.
The sum of square of two sides equals to the square of third side. We will consider the larger side as c, therefore,
a= 2000 feet
b= 2100 feet
c= 2900 feet
Using Pythagoras theorem;

As the three sides satisfy pythagoras theorem, therefore, the plot of land form right triangle.
The plot of land forms right triangle.
Keywords: triangle, pythagoras theorem
Learn more about pythagoras theorem at:
#LearnwithBrainly
The correct expression that is equivalent to the algebraic expression -5x - 15 + 25x - 30 is -5(-4x + 9).
<h3>How to determine the equivalent expression</h3>
We shall simplify the given algebraic expression by carrying out basic mathematics operations as follows;
Given: -5x - 15 + 25x - 30
we group like terms together
25x - 5x - 15 - 30
20x - 45
the number 5 is a common factor of 20x and 45, so we have that;
5 × 4x - 5 × 9
by factoring out 5
5(4x - 9)
also;
5(4x - 9) = -5(-4x + 9)
Therefore, -5(-4x + 9) is an equivalent expression to the algebraic expression -5x - 15 + 25x - 30
Learn more about equivalent expression here: brainly.com/question/24734894
#SPJ1

Let's solve ~
The given triangle is a right angled Triangle, so we can apply Trigonometric relations to find the required result ;
That is :




So, the value of z is 