The answer is probably 14, but I don't know how to prove it correctly, I mean by using the mathematical language. So if it will work, I can try to guess how I got this answer. So if you will draw radiuses, like I did on the screenshot, you will get 2 equal to each other triangles, but the thing is that I have no idea why they should be equal. So if the first step is right the value of x should be equal to 14, as the side below is equal to 14 too. That's it, I guess I helped you at least a little!
Jim's house to the corner is A. Adam's house to the corner is B. Adam's to Jim's is C.
(AxA)+(BxB)=(CxC).
(15x-7)(15x-7) = 225x^2-210x+49 = (AxA)
(23x-2)(23x-2) = 529x^2-92x+4 = (CxC)
(CxC)-(AxA) = (BxB)
529x^2-92x+4-225x^2-210+49 = 304x^2-118x-45
so (BxB) = 304x^2-118x-45
now we would factor that expression but this one isn't factorable.
so your final answer for the distance from Adam's house to the corner is the square root of 304x^2-118x-45.
Figure 1 Area = 4 x 15 = 60 cm²
Figure 2 Area = 3 x 18 = 54 cm²
Figure 3 Area = 6 x 11 = 66 cm²
Figure 4 Area = 12 x 5 = 60 cm²
Answer:
Therefore area of figure 1 and 4 are equal
Answer:
x = 1, y = 4
Step-by-step explanation:
This is very simple
Since you have 2 equations with the same coefficient of x, just minus one equation from another:
x + 3y = 13
-
x + 2y = 9
1y = 4
Sub y = 4 into any of the 2 equation,
x + 3(4) = 13
x + 12 = 13
x = 13 - 12
= 1
Answer:
Step-by-step explanation:
angle 1 is a central angle because the vertex is at the center of the circle and the central angles have same measure as the arc it inscribes, so
arc AB =30 °