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dimaraw [331]
3 years ago
14

If the length of one base of a trapezoid is 44, the median is 36, and the other base is 2x + 10, find x.

Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Answer:

  9

Step-by-step explanation:

The median is the average of the base lengths. Where "b" is the length of the other base, we have ...

  36 = (44 +b)/2

  b = 72 -44 = 28

We are told this is the same as 2x+10, so we have ...

  28 = 2x +10

  18 = 2x . . . . . subtract 10

  9 = x . . . . . . . divide by 2

The value of x is 9.

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Check all true statements.
Igoryamba

Step-by-step explanation:

the true statemnts underneath and are in bold letters

-.For all nonempty sets A, B, C, D, if A x B = C x D, then A = C and B = D.

This property is true

-The cartesian product has a cancellation property, i.e. if A x B = A x C for some sets A, B, C and A nonempty, then B = C.

This property is true

- If A={1,2} and B={3} then A x B ={ (1,3), (2,3) }.

if we have 2 non empty sets a and b if we want to get their cartesian product, it is defined as the set of all ordered pairs from a and b

we have A x B to be{(1,3)(2,3)}

therefore this is also true

8 0
3 years ago
How do I find QS here?
docker41 [41]
Answer: 12.

To solve this problem, let's first solve for x. Thi is easiest done by figuring what QR is in terms of x using two equations, both from different lines.

In the first line:
QR = 15 - 4x.

In the third line:
QR = 13x - 1 - x = 12x - 1.

Now, we have to set these equations equal to each other. 
15 - 4x = 12x - 1
15 = 16x - 1
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Next, we take line three, 13x - 1, and substitute x as 1. The answer is 12.
3 0
3 years ago
The perimeter of this shape is 30 feet. what is the length of the missing side
soldier1979 [14.2K]

30/2 = 15

it could be any positive number that is smaller than 15

6 0
3 years ago
How do I write 435 in expanded from
SVEN [57.7K]

Answer : 400 + 30 + 5

Step - by - step explanation : To write something in expanded form means to write the number individually. " To see the math value of individual digits ".

4 --> Since it's in the hundreds place that means the number is 400 !

3 --> Since it's in the tenths place that means the number is 30 !

5 --> Since it's the first digit that means it stays as the number 5 !

Hope this helped ! <33

Take care happy holidays ! Contact me if you need more help on this ! ( If you want )

4 0
2 years ago
X-45=8(2x+3)-18 what are the first steps to solving this equation
Mamont248 [21]

Step-by-step explanation:

step one Distribute

x−45=8(2x+3)−18

x−45=16x+24−18

step two Subtract the numbers

x−45=16x+24−18

x−45=16x+24−18

3 0
3 years ago
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