Answer:
x=w/1+yz
Step-by-step explanation:
Hope this helped!
Answer:
<u> </u><u>The</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>7</u><u>0</u><u>°</u><u>.</u>
Step-by-step explanation:
Let's name the angle to the right of 125° as 'y'.
y = 180 - 125 (linear pair)
<u>y = 55</u>°
Now, we know that all the angles in a triangle sum up to 180°. (Angle Sum Property)
x = 180 - (55+55)
x = 180 - 110
<u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>0</u><u>°</u>
Answer:
F
Step-by-step explanation:
The x and y do not match up
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.
Answer:
60 cubic inches
Step-by-step explanation:
A = πr²(h/3) = 4(5)π