<h3><u>
The value of the number is equal to 16.</u></h3>
7x + 8 = 120
<em><u>Subtract 8 from both sides.</u></em>
7x = 112
<em><u>Divide both sides by 7.</u></em>
x = 16
Answer:
32.40cm²
Step-by-step explanation:
Given the parallelogram ABCD ;
side AB is always Parallel to CD, hence ;
AB = CD = 7.2cm
Perpendicular from C on AB is the height of the parallelogram = 4.5cm
Area of a parallelogram : base * height
Area of a parallelogram = length base * height
Area of a parallelogram = 7.2 cm * 4.5cm
Area of parallelogram = 32.40cm²
Answer:
(3,13)
Step-by-step explanation:
so, you would add 3 to the y value
the point would be (3,13)
Answer:

Step-by-step explanation:

Answer:
The shortest walking route is through the diagonal AC: 102.89m
Step-by-step explanation:
One can go from A to C using 2 paths:
- ADC or ABC
- using diagonal AC and half of that inner circle.
We need to compute the length of each path.
1) ADC=AD+DC=80+50=130m
2) AC²=AD²+DC²=80²+50⁵=6400+2500= 8900m²
AC=sqrt(8900)=94.34m.
Note that the diagonal AC has a missing segment, whose length is the diameter of the inner circle. So the straight line has a length of: AC-d=94.34-15=79.34m.
Perimeter of half the circle=pi×r= 3.14×(15/2)= 3.14×7.5=23.55m
So, if one is using the diagonal to go from A to C, then he has to walk:
79.34+23.55=102.89m
Comparing the two routes: 130m vs 102.89m, we notice that the route using the diagonal AC is shorter.