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.
6 cups of flour because if u multiply the sugar by 2 you have to do that to the flour.
so 3*2 is 6
Answer:
1/48
Step-by-step explanation:
1/4 of the cookies were Kim's
1/3 of that ( 1/3 x 1/4) were chocolate chips which is 1/12 of the total
1/4 of that ( 1/12 x 1/4) had nuts . which is 1/48 of the total
The fraction is 1/48
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The answer to this is
the slope can be described as rise/run or
we can switch the order because the negatives cancel
choice A is correct
choice B is wrong because it is flipped one but not the other
chocies C is correct
This problem can be completed in 2 ways. Both are acceptable.
Option 1:This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.
The area of the rectangle is the base times the height.

The area of one of the triangles is half the base times the height.

The other triangle must have that area too.

The area is 56 square centimeters.
Option 2:We can use the area formula for the trapezoid.

Where

is the length of the shorter base
and

is the length of the longer base
and

is the height.
The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.
The height is 4.


Same answer. The area is 56 square centimeters.
Both options are two acceptable ways the problem can be tackled.