Answer: x = 18
Step-by-step explanation:
First, since both angles shown are equal to each other, you can immediately set your equation.
5x + 5 = 95
Next, move 5 to the opposite side of the equation to isolate your x value (5x). This step is simply subtracting the hanging 5.
5x + 5 (-5) = 95 (-5)
5x = 90
Finally, you need to divide both sides of the equation by 5 (the 5 next to the x) to *fully* isolate the x value.
5x / 5 = 90 / 5
x = 18
final answer: x = 18
Hopefully this helps with the remainder of your lesson! :)
Answer:
Assume ΔABC is an acute triangle.
Step-by-step explanation:
Given the triangle ABC.
We have to tell the first step of indirect proving ΔABC is not an acute triangle.
An indirect proof, also known a proof by contradiction. When we use indirect proof method, we assume the opposite of our theory to be true and then by applying our assumed theory we contradict the given statement which proves our supposition is wrong. In other words, we assume our theory is false.
Hence, our first step is to
Assume ΔABC is an acute triangle.
Third option is correct.
The answer is option c.
That is, the wrong step in step 6. It was written that the center of the circunference is the point (2.1). However, the general equation of a circumference is:
(X- (a)) ^ 2 + (Y- (b)) ^ 2 = r ^ 2
Where the point (a, b) is the center of the circle.
So for this case the point for the center is: (-2, -1)
The answer to your question is 2/4 which is 1/2
For this case we have that by definition, the perimeter of the quadrilateral shown is given by the sum of its sides:
Let "p" be the perimeter of the quadrilateral, then:

So, the perimeter of the figure is: 
Answer:
