Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units.
Line BD is placed in the middle, making D the midpoint of side AC.
knowing this information we can determine that the length of DC is 4 units (half of AC)
since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD
a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)
we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third
4² + b²= 8²
16 + b² = 64
b² = 48
b = 
b= 4√3 or about 6.928 units
hope this helped
The A’ is your reflected shape. The red line is y=-1, or your line right reflection. To solve, I counted the distance from the red line on the original triangle, and then the same on the opposite side of the red line, and counted the same distance, plotting the points at the final spot.
Answer:
John has 2 dollars and 46 cents left after his purchases.
Step-by-step explanation:
50 - 17.50 = 32.50
32.50 - 24.99 = 7.51
7.51 - 6.99 = 0.52
0.52 + 5.00 = 5.52
5.52 - 3.06 = 2.46
First off you need to convert the numbers into mixed numbers.
1 3/7 goes to 10/7
3 2/3 goes to 11/3
Then you multiply the numerators together:
10 * 11 = 110
Do the same for the denominators:
3 * 7 = 21
Then place it into a fraction and you make the fraction positive because the signs at the start are the same:
110/21
Then you can turn it into a proper fraction:
5 5/21
2x+2y=12.........&
6x-2y=20.........$
&+$: 8x=32
x=4
2*4+2y=12
y=4
