Answer:
37.5
Step-by-step explanation:
16/46 = 20/(20+x)
or, 16(20+x) = 46×20
or, 320 + 16x = 920
or, 16x = 600
or, x = 600/16
x = 37.5
The area of the rectangle ACEG is the amount of space on it, and the area of square HJFG is 9 square units
<h3>How to determine the area of the figures?</h3>
The area of a rectangle is:
Area = Length * Width
The area of a square is:
Area = Length * Length
From the question, the given parameters are:
AB =AH = x ;
BC=5;
HG=3
This means that the area of square HJFG is:
Area = HG * HG
Area = 3 * 3
Area = 9
<em>Note that the other areas cannot be calculated because the question is incomplete</em>
<em />
Read more about areas at:
brainly.com/question/17335144
#SPJ1
Answer:
B. 40 meters
Step-by-step explanation:
— Estimating
The rectangle enclosing the path has sides of length 9 m and 14 m, so its perimeter is 2(9+14) = 46 m. The distance covered will be shorter than that.
The distance from A to C is longer than the distance from D to C, so we know the distance will be longer than 2·14+9 = 37 m.
Only one answer choice fits in the range 37 < d < 46.
____
— Detailed calculation
The distance from B to C is the hypotenuse of a right triangle with sides 9 and 12. You will recognize that these side lengths are 3 times the side lengths of a 3-4-5 right triangle, so the hypotenuse distance is 3·5 = 15 meters.
The circuit length is ...
AB +BC +CD +DA = 2 + 15 + 14 + 9 = 40 . . . . meters
Answer:
x = 6
Step-by-step explanation:
The sum of the angles of a triangle is 180
70+60+8x+2 = 180
Combine like terms
132 +8x = 180
Subtract 132 from each side
132+8x-132= 180-132
8x = 48
Divide each side by 8
8x/8 = 48/8
x = 6