SIDE LENGTH OF TRIANGLE: 2.14 inches
SIDE LENGTH OF HEXAGON: 6 inches

To solve this problem, we know that the shapes have equal sides as it states “equilateral triangle”. A triangle has 3 sides and a hexagon has 6 sides. We are told the perimeters are the same so you can set their perimeters equal to each other to solve for x. You would get this : 3(1.4x + 2) = 6(0.5x +2)
With basic algebra you would get x= 5
Then you substitute that value into the length sides of the triangle and hexagon. For the triangle you would approx get 2.14 inches and for the hexagon 6 inches

6 0

1 year ago

Read 2 more answers

What is the range of possible values for x?

Talja [164]

The minimum value for 2x is 0
the maximum value is achieved when A, D and C are collinear and the quadrilateral ABCD becomes an isosceles triangle ABC 
base AB = 52 and vertical angle 2x + 34° 

For the sine law 
(sin 2x)/22 = (sin ADB)/AB 
(sin 34°)/30 = (sin BDC)/BC 

is given that AB = BC, and sin ADC = sin BDC because they are supplementary, so from 
(sin ADC)/AB = (sin BDC)/BC 

it follows 
(sin 2x)/22 = (sin 34°)/30 

sin 2x = 22 (sin 34°)/30 

2x = asin(22 (sin 34°)/30) ≈ 24.2° 

x = 0.5 asin(22 (sin 34°)/30) ≈ 12.1° 

0 < x < 12.1°

7 0

2 years ago

The longer leg of a 30,-60,-90 degree triangle is 18: what is the length of the other leg

taurus [48]

Answer:

The other legs are 9 and 9√3

Step-by-step explanation:

The longer side of a 30-60-90 degree rectangle is 18.

The other legs will be

$\frac{x}{2}$