Answer:
105.26
Step-by-step explanation:
∠1 = ∠2
2x +10 = 3x -6
16 = x . . . . . . . . . . . add 6-2x
Selection B is appropriate.
Answer:
The radius of a circumcircle of an equilateral triangle is equal to (a / √3), where ‘a’ is the length of the side of equilateral triangle.
Circle Radius = 16 / sq root (3)
Circle Radius = 9.237604307
Circle Area = PI * radius ^ 2
Circle Area = PI * 85.3333333333
Circle Area = 268.083
Equilateral Triangle area = side^2 * sq root (3) / 4
Equilateral Triangle area = 16^2 * 0.4330127019
Equilateral Triangle area = 110.85
Shaded region = 268.083 - 110.85
Shaded region = 157.233
Step-by-step explanation:
Answer:
x=1.25, y=1.75
Step-by-step explanation:
The two triangles formed (one triangle with side lengths of 5, 7, 8 and another with sides 5+x, 10, and 7+y) are similar, because they share the same angle measures.
Now, 2 sides given that we can compare ratios with are the side with length 8, and the side with length 10. 10/8= 1.25, which is the ratio of the sides on these 2 triangles.
Now we want to find what the side '5+x' is equal to. To do that we can use our ratio, and multiply 5 by 1.25 to find '5+x'. This is 6.25. To find x, all we need to do is subtract 5 from 6.25, which is 1.25.
Let's find y now. Do the same thing that we did with the side '5+x'; find what '7+y' is by multiplying 7 by 1.25, which is 8.75. 8.75-7= 1.75.
Hope this helps! :)
