Answer:
16 percent of times are between 6 and 22
Answer:
Step-by-step explanation:
9) PQR Is an isosceles triangle
=> ∠PRQ = (180° - x)/2
PRS is an isosceles right triangle
=> ∠PRS = 45°
Have: ∠PRS + ∠PRQ = 115°
=> ![\frac{180-x}{2}+45=115 \\](https://tex.z-dn.net/?f=%5Cfrac%7B180-x%7D%7B2%7D%2B45%3D115%20%5C%5C)
=> 180 - x = (115 - 45).2 = 140
<=> x = 180 - 140 = 40
10) ABD is an isosceles right triangle => ∠ABD = 45°
BCD is an equilateral triangle => ∠CBD = 60°
have: x = ∠ABD + ∠CBD = 45° + 60° = 105°
11) have: x = y (2)
PQT is an isosceles triangle => ∠PQT = 180 - 70.2 = 40
QTS is an isosceles triangle => ∠TQS = 180 -2x
QRS is an isosceles triangle => ∠RSQ = y
have: 40 + 180 - 2x + y = 180 => 2x - y = 40 (1)
(1)(2) => ![\left \{ {{y=x} \atop {2x-y=40}} \right.\\\\=> \left \{ {{x=40} \atop {y=40}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7By%3Dx%7D%20%5Catop%20%7B2x-y%3D40%7D%7D%20%5Cright.%5C%5C%5C%5C%3D%3E%20%5Cleft%20%5C%7B%20%7B%7Bx%3D40%7D%20%5Catop%20%7By%3D40%7D%7D%20%5Cright.)
=> x + y = 80
12) EFJ Is an equilateral triangle => ∠FJE = 60
∠FJE is the outer angle of the triangle FHJ but FHJ is an isosceles triangle
=> 60 = 2.∠JHF => ∠JHF = 30°
∠JHF is the outer angle of the triangle FHG
=> 30° = 2x
<=> x = 15°
Answer:
- 24 - 5x
Step-by-step explanation:
1) Remove Parentheses
-2 - 3x - 6 - 9 - 7 + x - 3x
2) Collect like terms
( -2 - 6 - 9 - 7) + (-3x+x-3x)
3) Simplify
7 x 300 = 2,100 hope i helped and there are 21 hundreds in 2,100
9514 1404 393
Answer:
C. parallelogram, then rectangle
Step-by-step explanation:
The attached image shows how the shape evolves as the number of segments of the circle increases. The smaller the central angle, the closer the shape becomes to a rectangle.