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Handy Migui

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Ms. Salonga needs to deliver ordered cars and assigned Handy Migui to deliver them using a truck. She informed him that the inclined ramp used to unload cars from the truck has a rise of 5m, a run of 12m which is 7m longer than the rise, and is 13m long which is 8m longer than the rise. Therefore, the measurements that allow the cars to be unloaded safely are: the rise is 5m, the run is 12m, and the length of the ramp is 13m.

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From the creators of Presents
Handy Migui
To know the measurements of the three sides of the ramp.
Handy Migui
Ms. Salonga as the owner, and Handy Migui as the delivery boy.
Handy Migui
Ms. Salonga, who is the owner of the company.
Handy Migui
Hi, I am Handy Migui, Ms. Salonga is the owner of a car company, and she needs to deliver the ordered cars. She assigned me to deliver the ordered cars. Click to Continue
rise = x run = x+7 She Said The Length of the inclined ramp to used for unloading cars in a truck is 8m longer than the rise of the ramp. The run is 7m longer that the rise. Click to Continue
rise = x run = x+7 She Said The Length of the inclined ramp to used for unloadingthe three sides of the How long are cars in a truck is 8m longer than the rise of thecars to be unloaded ramp for the ramp. The run is 7m longer that the rise. safely? Click to Continue
Let : x be the rise of the ramp (height of triangle, a) x+7 be the run of the ramp (base of triangle, b) x+8 be the length of the ramp (hypotenuse o, c) Click to Continue
C 2=a2+b2 (x+8)2=x2+(x+7)2 Substitute the values in the pythagorean theorem Click to Continue
(x+8)2 = x2 + (x+7)2 x2+16x+64 = x2+x2+14x+49 x2-x216x-14x+64 -49= x2 2x+15 = x2 -x2+2x+15 =0 Transpose x2 Combine Likebinomial Square each Terms Click to Continue
-1{-x2+2x+15 =0}-1 X2-2x-15 =0 (x-5)(x+3) = 0 x-5=0 X+3=0 X=5 X=-3 x+7=12 X+7=4 X+8=13 X+8=5 Equate Factor x2 to -1 Multiply each factor by 0 Transpose each sides Click to Continue
c2 = a2 + b2 (13)2 = (5) 2 +(12) 2 169 = 25 + 144 169 = 169 ChecktheNowsumis the sidepythagorean Since if the sum of the the cannot be length us in same with 169 the Let to 144 Check Substitute the values the same with 169 Check if Add 25 is value Negative,Squaretheorem we will eachcheck the Positive only Value Click to Continue
Is the run 7m longer than the rise? 5+7 = 12 12 = 12 YES Check if the sum 5+7 same with 12 Add is the Click to Continue
Is the ramp 8m longer than the rise? 5+8 = 13 13 = 13 YES Check if the sum is the same with 123 Add 5+8 Click to Continue
The rise (x) is 5 The run (x+7) is 12 The ramp (x+8) is 13 Click to Continue
The Rise of the ramp is 5m, the run is 12m and the ramp is 13m. We can say that it is now safe to unload cars. Click to Continue
Ms. Salonga, an owner of a car company, needs to deliver the ordered cars. She assigned Mr.Castillo to deliver the cars. He usually uses a truck for the delivery and he is also a mechanic. The inclined ramp used for loading cars in a truck is 8m longer than the rise of the ramp. The run is 7m longer that the rise. How long are the three sides of the ramp for the cars to be unloaded safely?

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Handy Migui

  • 1. From the creators of Presents
  • 3. To know the measurements of the three sides of the ramp.
  • 5. Ms. Salonga as the owner, and Handy Migui as the delivery boy.
  • 7. Ms. Salonga, who is the owner of the company.
  • 9. Hi, I am Handy Migui, Ms. Salonga is the owner of a car company, and she needs to deliver the ordered cars. She assigned me to deliver the ordered cars. Click to Continue
  • 10. rise = x run = x+7 She Said The Length of the inclined ramp to used for unloading cars in a truck is 8m longer than the rise of the ramp. The run is 7m longer that the rise. Click to Continue
  • 11. rise = x run = x+7 She Said The Length of the inclined ramp to used for unloadingthe three sides of the How long are cars in a truck is 8m longer than the rise of thecars to be unloaded ramp for the ramp. The run is 7m longer that the rise. safely? Click to Continue
  • 12. Let : x be the rise of the ramp (height of triangle, a) x+7 be the run of the ramp (base of triangle, b) x+8 be the length of the ramp (hypotenuse o, c) Click to Continue
  • 13. C 2=a2+b2 (x+8)2=x2+(x+7)2 Substitute the values in the pythagorean theorem Click to Continue
  • 14. (x+8)2 = x2 + (x+7)2 x2+16x+64 = x2+x2+14x+49 x2-x216x-14x+64 -49= x2 2x+15 = x2 -x2+2x+15 =0 Transpose x2 Combine Likebinomial Square each Terms Click to Continue
  • 15. -1{-x2+2x+15 =0}-1 X2-2x-15 =0 (x-5)(x+3) = 0 x-5=0 X+3=0 X=5 X=-3 x+7=12 X+7=4 X+8=13 X+8=5 Equate Factor x2 to -1 Multiply each factor by 0 Transpose each sides Click to Continue
  • 16. c2 = a2 + b2 (13)2 = (5) 2 +(12) 2 169 = 25 + 144 169 = 169 ChecktheNowsumis the sidepythagorean Since if the sum of the the cannot be length us in same with 169 the Let to 144 Check Substitute the values the same with 169 Check if Add 25 is value Negative,Squaretheorem we will eachcheck the Positive only Value Click to Continue
  • 17. Is the run 7m longer than the rise? 5+7 = 12 12 = 12 YES Check if the sum 5+7 same with 12 Add is the Click to Continue
  • 18. Is the ramp 8m longer than the rise? 5+8 = 13 13 = 13 YES Check if the sum is the same with 123 Add 5+8 Click to Continue
  • 19. The rise (x) is 5 The run (x+7) is 12 The ramp (x+8) is 13 Click to Continue
  • 20. The Rise of the ramp is 5m, the run is 12m and the ramp is 13m. We can say that it is now safe to unload cars. Click to Continue
  • 21. Ms. Salonga, an owner of a car company, needs to deliver the ordered cars. She assigned Mr.Castillo to deliver the cars. He usually uses a truck for the delivery and he is also a mechanic. The inclined ramp used for loading cars in a truck is 8m longer than the rise of the ramp. The run is 7m longer that the rise. How long are the three sides of the ramp for the cars to be unloaded safely?