Hi, thank you for posting your question.
This problem can be solved through ratio and proportion which can be applied to similar triangles like that shown in the figure. By ratio and proprotion,
MP/MN = MB/MA
81.9/67.2 = x/(67.2-32)
Thus, x = 42.9
The height of the telephone pole = 9 / 1.5 = 6 meters
Answer:
x = 
Step-by-step explanation:
Step 1:
3x + 2 = 12 Equation.
Step 2:
3x + 2 − 2 = 12 − 2
3x = 10 Balance the Equation (Subtract 2).
Step 3:
Divide both sides by 3.
Hope this helps :)
Answer:
85.6 cm^2
Step-by-step explanation:
The area of the central triangle bounded by each of the sides can be computed as ...
A = (1/2)r²sin(α) . . . . where α is the central angle, 360°/5 = 72°
There are 5 such triangles, so the area of the pentagon is ...
A = (5/2)(6 cm)²sin(72°) ≈ 85.595 cm²
The area of the regular pentagon of radius 6 cm is about 85.6 cm².
Answer:
y = -2
Step-by-step explanation:
This one is easy. As you may know, a axis of symmetry is the line where everything is the same on both sides of it. For this, you can use trial and error or just look at the points on either side. For y = -1, that will put the line in an awkward spot, crossing through 2 slanted lines instead of corners. For x = -1, this just cuts through the shape straight up and down and does not make the shape look equal on both sides of the line at all. Same goes for x = -2. I should probably mention, when you see a line that is described as "x = 1", it is a vertical line, because the line is constantly staying on the point x = 1, while having an infinite number of y-values. When you see "y = 1", it will be horizontal for the same reason, just flipped.
