Answer:
x = 40
Step-by-step explanation:
The angles are vertical angles which mean they are equal
3x=120
Divide each side by 3
3x/3 = 120/3
x = 40
Their are 6 equilateral triangles in a regular hexagon:
The area of one triangle = (x²√3)/4, then:
1st answer: The area of the hexagon base: is 6 TIMES the area of one equilateral triangle [or, needed for 2nd, question, TOT AREA:(6x²√3)/4] = (3x²√3)/2] unit²
2nd answer: :
Volume of pyramid: (base area)(height)/3
Volume of pyramid: (3x²√3).(3x)/3 (because height = 3x, given)
Then Volume of pyramid= 3x³√3 unit³.
3 is the answer for the second question
and 6 for the 1st
Answer:
<em>Answer: 1/4</em>
Step-by-step explanation:
<u>Algebraic Operations</u>
The width of a rectangle is given as W=5x+3 and the length of the rectangle is given as L=20x+12.
It's required to determine the ratio of the width to the length, that is:
This fraction can be simplified if we factor the expression in the denominator. The LCF of 20x and 12 is 4, thus:
Now note we have the exact same expression up and down, thus simplifying:
Answer: 1/4
The answer to the question is A
The decimal value of 4/11 is 0.36 repeating.
