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Hitman42 [59]
3 years ago
12

The digits of a two-digit number sum to 8. When the digits are reversed, the resulting number is 18 less than the original numbe

r. What is the original number?
Mathematics
2 answers:
kumpel [21]3 years ago
8 0

Answer:

53

Step-by-step explanation:

 Let x = the first digit

and y = the second digit. Then,

    xy = the number

We have two conditions:

(1) x + y = 8

(2) 10y + x = 10x + y - 18

Simplify (2)                     10y + x - 10x - y = -18

                                              (3) 9y - 9x  = -18

Multiply Equation (1) by 9     (4) 9x + 9y =  72

Add Equations (3) and (4)                18y =  54

Divide each side by 18         (5)           y =    3

Substitute (5) into (1)                       x + 3 =   8

Subtract 3 from each side                   x =   5

x = 5 and y = 3

The number is 53.

Check:

(1) 5 + 3 = 8     (2) 10×3 + 5 = 10×5 + 3 - 18

         8 = 8             30  + 5 =   50  + 3 - 18

                                      35 =       53    - 18

                                      35 =            35

xxMikexx [17]3 years ago
5 0

Answer:

53 add the 2 and you get 8

Step-by-step explanation:flip them 35 + 18 =53

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In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
snow_lady [41]

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Next, look at ΔADB.  ∠A + ∠D + ∠B = 180°, so ∠A + 90° + 30° = 180° ⇒ ∠A = 30°

Now look at ΔADC.  Since ∠A = 30° in ΔACB, and ∠A = 60° in ΔADB, then ∠A = 30° in ΔADC <em>per angle addition postulate.</em>

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8 0
3 years ago
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Answer:

see explanation

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• Parallel lines have equal slopes

Hence the slope of the parallel line = 3

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y - b = m(x - a)

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here m = 3 and (a, b) = (- 3, - 14), hence

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6 0
3 years ago
Can someone help me??
Allushta [10]

Answer:

67.5 degrees

Step-by-step explanation:

The piece that isn't marked with xs is 90 degrees marked by the square symbol representing a right angle.

Full circle = 360 degrees

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Now, if we add all the like terms we have 4 x's in total. This is becauswe 3x + another x = 4x.

So, we need to divide 270 by 4. We get 67.5 degrees.

Hope this helps!

treviglaslibrary

4 0
3 years ago
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