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viktelen [127]
3 years ago
14

If ABCD is an isosceles trapezoid, what is the value of x

Mathematics
2 answers:
tiny-mole [99]3 years ago
5 0

Answer:

17 apex

Step-by-step explanation:

Grace [21]3 years ago
4 0

Answer:

Since we know that ABCD is an isosceles trapezoid, we can also asume that its diagonals have the same length, which means:

AC = BD

=> 7x - 21 = 5x + 13

=> 7x - 5x = 21 + 13

=> 2x        = 34

=> x           = 34/2 = 17

So the answer is C.

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Step-by-step explanation:

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6 0
3 years ago
Which expression is equivalent to -3x + 9?
Olenka [21]

Answer:

B

Step-by-step explanation:

You use the distributive Property

-3(x-3)

-3x+9

4 0
3 years ago
Read 2 more answers
The 4th term in a geometric sequence is -15, the 5th term is 45 and the 6th term is -135. Find the sum of the first 7 terms.
Andreas93 [3]

Answer:

d) 303 8/9

Step-by-step explanation:

4th term = ar^3  and 5th = ar^4   where a = first term and r = common ratio.

So ar^4 / ar^3

= r = 45/-15 = -3.

Working back,:

The first term a = ar^3/ r^3

= -15 / (-3)^3

= -15/-27

= 5/9

Sum of n terms = a * (r^n - 1)/(r-1)

= 5/9 * ((-3)^7 - 1 ) / (-3 -1)

= 303 8/9

3 0
2 years ago
Read 2 more answers
Reduce the following lambda-calculus term to the normal form. Show all intermediate steps, with one beta reduction at a time. In
QveST [7]

Answer:

Step-by-step explanation:

Reduction to normal from using lambda-reduction:

The given lambda - calculus terms is, (λf. λx. f (f x)) (λy. Y * 3) 2

For the term, (λy. Y * 3) 2, we can substitute the value to the function.

Therefore, applying beta- reduction on "(λy. Y * 3) 2" will return 2*3= 6

So the term becomes,(λf. λx. f (f x)) 6

The first term, (λf. λx. f (f x)) takes a function and an argument, and substitute the argument in the function.

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4 0
3 years ago
Kim is 5 years older than her brother Jack. If the sum of their ages is 21, find each of their ages.
yarga [219]

9514 1404 393

Answer:

  • Kim is 13
  • Jack is 8

Step-by-step explanation:

Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...

  k + (k -5) = 21

  2k = 26 . . . . . . . add 5, collect terms

  k = 13 . . . . . . . . . divide by 2; Kim's age

  k -5 = 8 . . . . . . . Jack's age

Kim is 13; Jack is 8.

7 0
3 years ago
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