Answer: The coordinates of the circumcenter is 
.
Explanation:
The coordinates of triangle DEF are D(1,3) E (8,3) and F(1,-5).
Distance formula,
Since triangle follows pythagoras theorem,
Therefore the given triangle is a right angle triangle.
Or plot these points on a coordinate plane. From the figure we can say that the triangle DEF is a right angle triangle.
The circumcenter of a right angle triangle is the midpoint of the hypotenuse.
The hypotenuse is EF. The midpoint of EF is,
Therefore, the coordinates of the circumcenter is .
Sales tax = 7.5%
7.5% of 12.50 = (7.5/100) * 12.5 = 0.075* 12.5 = 0.9375
tax = 0.9
Total pay = price + tax = 12.5 + 0.9375 = 13.4375
Total pay ≈ 13.44
Hope this solves it.
Answer:
The equation that matches this situation is y = 8.34x + 25 ⇒ B
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope (rate of change)
- b is the y-intercept (initial value)
The rule of the slope is m = Δy/Δx, where
∵ Lisa collects rainwater in a barrel that weighs 25 pounds
∴ The initial value of the weight is 25 pounds
∴ b = 25
∵ When there are 10 gallons of water in the barrel, the total weight
of the barrel and the water is 108.4 pounds
∴ At x = 10, y = 108.4
∵ When there are 20 gallons of water, the total weight is 191.8 pounds
∴ At x = 20, y = 191.8
→ Find Δx and Δy
∵ Δx = 20 - 10 = 10
∵ Δy = 191.8 - 108.4 = 83.4
→ Substitute them in the rule of the slope above
∴ m = 
∴ m = 8.34
→ Substitute the values of m and b in the form of the equation above
∵ y = 8.34x + 25
∴ The equation that matches this situation is y = 8.34x + 25
Question 11
x+x+1/2x+1/2x=360
x+x+2/2x+=360
x+x+x=360
3x=360
x=120
Then substitute 120 in the place of x
x1=120
x2=120
1/2(120)=60
1/2(120)=60
To check your answer you can add 60+60+120+120 the should be equal to 360
Question 12
x+x+(x-45)+(x-45)+(x-45)=540
x+x+x-45+x-45+x-45=540
5x-135=540
5x=540+135
5x=675
x=675/5
x=135
Then substitute 135 in the place of x
x1=135
x2=135
135-45=90
135-45=90
135-45=90
To check your answer you can add 135+135+90+90-90 the should be equal to 540
Hope it helps
Please give brainliest
Answer:
$75
Step-by-step explanation:
let the original price be x
then,
80% of x = 60
80/100 of x = 60
therefore x = 75
