Answer: a) 2:1. b) 3. c) Perimeter of ΔEFG=36 Perimeter of ΔHIJ=18. d) 2:1
Step-by-step explanation:
a) Find the ratio of GF and JI. 16:8. Simplify by dividing both by 8 to get 2:1.
b) Set up this equation: 6/16=x/8. Cross-multiply. 6*8=48. Divide by 16. 48/16=3.
c) First find the length of one half of GF by dividing 16 by 2. 16/2=8. Set up the Pythagorean theorem. 8^2+6^2=c^2. Square 8 and 6. 64+36=c^2. Add 64 and 36. 100=c^2. Find the square root of 100. c=10.
EF and EG both measure 10 since they are shown to be congruent. 10+10+16=36.
Next find the length of one half of JI by dividing 8 by 2. 8/2=4. Set up the Pythagorean theorem. Since we know x=3, it will be 4^2+3^2=c^2. Square both 4 and 3. 16+9=c^2. Add 16 and 9. 25=c^2. Find the square root of 25. c=5.
HJ and HI both measure 5 since they are congruent. 5+5+8=18.
d) Find the ratio of the perimeters of ΔEFG and ΔHIJ. 36:18. Simplify by dividing both by 6 to get 6:3. Simplify further by dividing both by 3 to get 2:1.
Answer: 
Step-by-step explanation:
Given
inclination is 
Mountain is 
high
Cable is tied 
from the base of the mountain
From the figure, length of the shortest path is 
It is given by using Pythagoras theorem
Answer:
A
Step-by-step explanation:
We are given the function:
And we want to find:
Substitute:
And evaluate:
In conclusion, our answer is A.
The unit rate in the equation is 20.
Option C) is the correct answer.
<u>Step-by-step explanation</u>:
Step 1 :
In the given equation y = 20x
where,
x ⇒ total number of hours for tutoring
20 ⇒ the cost per hour of tutoring
y ⇒ the total cost for total hours of tutoring
Step 2 :
Unit rate refers to the value per hour.
Here, the cost for 1 hour of tutoring is $20.
∴ The unit rate is $20 per hour of tutoring.
Answer: x=-0.4
Step-by-step explanation:
