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Harman [31]
2 years ago
13

1 In the diagram below, AEFB || CGD, and GE and GF are drawn.

Mathematics
1 answer:
yan [13]2 years ago
8 0
Approximately not 7.77777777777
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The isosceles triangles below are similar.
ohaa [14]

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.

4 0
3 years ago
The expression 7! is equal to which of the following
Sladkaya [172]
Its basically 7 see there is nothing but the number 7 which means as to an expression its 7.
8 0
3 years ago
Read 2 more answers
Susan walks 10 feet in 4 steps at this rate how many steps will it take her to walk 1 mile
dolphi86 [110]

Answer:

2112 Steps

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help meee and show all steps please!!!ty
kolbaska11 [484]

Answer:

x = -4 and x = 5

Step-by-step explanation:

Since x^2 + 2x and 3x + 20 both equal to y, we know that the expressions equal to each other. We can write a new equation base on that.

x^2 + 2x = 3x + 20

Now we solve the equation.

x^2 + 2x = 3x + 20

x^2 - x = 20

x^2 - x - 20 = 0

(x + 4) (x - 5) = 0

x + 4 = 0 ; x -5 = 0

x = -4 ; x = 5

3 0
2 years ago
Help pls pls plss!!! asap
alekssr [168]

Step-by-step explanation:

angle 1=180-(90+58)

=180-148

=32

angle1=angle2=32

angle3=180-(108+32)

=180-140

=40°

7 0
3 years ago
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