1. A triangle has the following lengths- Side 1: 4x+1,
Side 2: 6x - 5, and
Side 3: x + 1.
Its perimeter is 41 cm.
Write an equation for this situation: 4x+1+6X-5+x+1
2 = 4cm
THEN find the lengths of all 3 sides of the triangle:

Need help finding the sides

Side 1: 17cm. Side 2: 19cm. Side 3: 5cm.

Step-by-step explanation:

Equation:

(4x+1)+(6x-5)+(x+1)=41Remove parenthesis, 4x+1+6x-5+x+1=41Combine like terms, 11x-3=41Add, 11x=44Divide, x=4

Now, find the side lengths:

4(4)+1=16+1=176(4)-5=24-5=191(4)+1=4+1=5

Double check:

15+19+5=41

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )