See the picture attached to better understand the problem
we know that
<span>the formula for calculate the sum of the internal angles in a regular polygon is
</span>Sum=(n-2)*180
for n=8
sum=(8-2)*180----> 1080°
1080°----> divide by number of sides
1080/8=135°
so
in the figure
∠ BAD=135°
∠ BAC=∠ BAD/2---> 135°/2---> 67.5°
∠ BAC=67.5°
the triangle ABC is an isosceles triangle
so
∠ ABC=∠ BAC
∠ ABC=67.5°
the sum of the internal angles of the triangle is equal to 180 degrees
∠ BCA=180-(67.5+67.5)------> 45°
∠ BCA=45°
t<span>he measures of the three angles in the isosceles triangle are
</span>
∠ BAC=67.5°∠ ABC=67.5°∠ BCA=45°
Answer:
26 minutes on the bicycle
Step-by-step explanation:
Let t and b represent the number of minutes on the treadmill and bicycle, respectively. The problem statement tells us two ways to relate these values.
t + b = 60 . . . . . Amy exercises a total of 60 minutes (1 hour)
9t +6.5b = 475 . . . . . she burns a total of 475 calories
Since we want to find the value of "b", we can use the first equation to write an expression that will substitute for t.
t = 60 -b
9(60 -b) +6.5b = 475
540 -2.5b = 475 . . . . . . simpify
-2.5b = -65 . . . . . . . . . . subtract 540
b = 26 . . . . . . . . . . . . . . . divide by -2.5 (equivalently, multiply by -2/5)
Amy spends 26 minutes exercising on the bicycle.
Answer:
B.
Step-by-step explanation:
The lines positioning shows a negative slope already, so it cant be C or D
Slope is a rise over run basis. You can check this just from points alone, the line would be much steeper if the slope was -2.
Hope this helps!
Well the goal of this problem is to get x alone.... So divide 100 by 25 and you get 4.... So x=4
Hope that helps :)