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liberstina [14]
3 years ago
8

The hypotenuse of a right triangle is 8 cm longer than the longer leg. The shorter leg is 17 cm shorter than the longer leg. Fin

d the length of the longer leg of the triangle.

Mathematics
2 answers:
balu736 [363]3 years ago
5 0

Answer:

  45 cm

Step-by-step explanation:

Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...

  (x +8)^2 = x^2 +(x -17)^2

  x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses

  0 = x^2 -50x +225 . . . . . put in standard form

  0 = (x -45)(x -5) . . . . . . . . factor

Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.

The length of the longer leg of the triangle is 45 cm.

Alik [6]3 years ago
5 0

Answer:45

Step-by-step explanation:

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alexdok [17]

Answer:

1. >

2. <

3. =

Step-by-step explanation:

100x8=800, 4*7=28, multiplied by 25 is 700, therefore making 800 greater than 700. Whenever comparing two multiplication problems, multiplying large numbers produces large results, so whichever starts larger will have an end result that is larger. 100 was large and it is smaller to its counter 25.

36 elevens really means 11x36, which is 396. 40 elevens really means 40x11, which is 440 minus 11x3 which is 407. 407 is greater than 396. The same logic applies here as the previous answer, the only difference is that the removal of three elevens is still larger than 36 elevens in this case.

12x24=288, 6x24=144, doubled makes it 288. In this case, the six is half of the twelve to begin with and then is made up for later by the fact that it is doubled.

When I solve math questions like these, I ignore the fact that it doesn't want a mathematical answer, do the math anyway and pull logic from it. (If your teacher checks, do it on a separate piece of paper, and then toss it.)

5 0
3 years ago
Which choice could include the degrees of the angles in a quadrilateral?
Dimas [21]
The answer is A! it equals 360°!
6 0
3 years ago
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which expression DOES NOT represent a square root of a perfect square integer? A) 100 B) 64 C) 81 D) 89
Ipatiy [6.2K]
Its 89 because 9 times 2 is 81 and 10 times 2 is 100 there nothing to multiple 2 by something to get 89
4 0
3 years ago
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I think I got this for the most part just need to be surs
defon

Answer:

a) 37.33 tons

b) 96 tons

c) Week 2

Step-by-step explanation:

a) 40+40+32=112÷3=37.33 tons

b) 32+40+24=96 tons

c) Week 2

6 0
3 years ago
Solve the system by substitution <br><br> Y= -7x + 6 <br> Y = - 10x<br><br><br> Plz help
snow_tiger [21]

Answer:

(-2, 20)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -7x + 6

y = -10x

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em> [1st Equation]:                                                                           -10x = -7x + 6
  2. [Addition Property of Equality] Add 7x on both sides:                                   -3x = 6
  3. [Division Property of Equality] Divide -3 on both sides:                                x = -2

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x </em>[2nd Equation]:                                                                         y = -10(-2)
  2. Multiply:                                                                                                             y = 20
7 0
3 years ago
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