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konstantin123 [22]
3 years ago
8

The length of the base of an isosceles triangle is x. The length of a leg is 4x - 4. The perimeter of the triangle is 118. Find

x.
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
7 0

Answer:

x = 14

Step-by-step explanation:

4x - 4 + 4x - 4 + x = 118

9x - 8 = 118

9x = 126

x = 14

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Find the sum of the arithmetic sequence.<br><br> -4, -1, 2, 5, 8, 11, 14
notsponge [240]

Answer:

  35

Step-by-step explanation:

Since the sequence is so short, you can simply add the terms. It is convenient to do them pairwise, working inward from the first+last:

  (-4+14) +(-1+11) +(2+8) +5

  = 10 +10 +10 +5

  = 35

__

Or, you can find the average term as the average of the first and last terms:

  average term = (-4+14)/2 = 5

Then the sum is the product of this and the number of terms:

  sum = (number of terms)×(average term) = 7 × 5 = 35

3 0
4 years ago
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Round 141080 to the nearest ten
Licemer1 [7]
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3 years ago
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the georgetown basketball team scored the winning basket in the last second of the game! The 11 basketball players from the Geor
g100num [7]

Answer:

110

Step-by-step explanation

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7 0
3 years ago
Find the surface area of the following figure.
Leokris [45]

Answer:

164.7 in2

Step-by-step explanation:

Solve for surface area

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Formula: L*W*H

A≈167.13 round to the nearest ten = 164.7 in2

The correct answer to this question is 164.7 in2

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5 0
4 years ago
What is a number mulitplyed by 8 and added by 6?
HACTEHA [7]
Xy = 8
x + y = 6

     x + y = 6
x - x + y = -x + 6
           y = -x + 6

                                 xy = 8
                       x(-x + 6) = 8
                   x(-x) + x(6) = 8
                        -x² + 6x = 8
                   -x² + 6x - 8 = 0
     -1(x²) - 1(-6x) - 1(8) = 0
              -1(x² - 6x + 8) = 0
                          -1           -1
                    x² - 6x + 8 = 0
             x² - 4x - 2x + 8 = 0
 x(x) - x(4) - 2(x) + 2(4) = 0
           x(x - 4) - 2(x - 4) = 0
                  (x - 2)(x - 4) = 0
      x - 2 = 0    or    x - 4 = 0
        + 2 + 2             + 4 + 4 
           x = 2       or      x = 4

   x + y = 6
   2 + y = 6
 - 2        - 2
         y = 4
   (x, y) = (2, 4)

           or
    x + y = 6
    4 + y = 6
  - 4        - 4
          y = 2
    (x, y) = (4, 2)

The two numbers that add up to 6 and multiply to 8 are 4 and 2.
8 0
3 years ago
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