Answer:
The length is 28 and the width is 11
Step-by-step explanation:
To solve this problem, we can make the width as x.
Since the length is 5 less than 3 times the width, it's going to be 3x - 5
So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:
2(3x - 5) + 2x = 78
6x - 10 + 2x = 78
8x - 10 = 78
8x = 88
x = 11
x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:
3x - 5
3 × 11 - 5
33 - 5 = 28
Answer: Length = 28 (don't forget to add the unit if there is one)
1) m∠1 = 360°/8 = 45° . . . . . a regular octagon is 8-way rotationally symmetrical, so each sector is 1/8 of a circle.
2) m∠2 = (180° -45°)/2 = 67.5° . . . . . . the angles of a triangle add to 180°. The base angles of an isosceles triangle are equal.
(3x + 13) + (8x + 14) + 109 = 180°
(3x + 13) + (8x + 14) = 71°
11x + 27 = 71°
11x = 44°
x = 4
Answer:
CD ≈ 15.0
Step-by-step explanation:
calculate CD using the distance formula
d = 
with (x₁, y₁ ) = C (7, - 4) and (x₂, y₂ ) = D (- 8, - 5)
CD = 
= 
= 
= 
= 
≈ 15.0 ( to the nearest tenth )