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Anit [1.1K]
3 years ago
12

Instructions: Find the measurement of the diagonal indicated in the following parallelogram. Please help :)

Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0

Answer:

ZD = 10

Step-by-step explanation:

In a parallelogram

  1. Every two opposite sides are parallel
  2. Every two opposite sides are equal
  3. Every two opposite angles are equal
  4. Every two adjacent angles are supplementary
  5. The two diagonals bisect each other (meet each other at their midpoint)

Let us solve the question

∵ ABCD is a parallelogram

∵ AC and DB are its diagonals

→ By using the 5th property above

∴ AC and BD bisect each other

∵ AC ∩ BD at point Z

→ That means Z is the midpoint of them

∴ Z is the midpoint of BD

→ That means Z divides BD into 2 equal parts BZ and ZD

∴ BZ = ZD

∵ BZ = 10

∴ ZD = 10

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So to fine slope you would use the formula down below:

rise/run

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Go horizontal 3 spots and your on a designated point.

So the rise is four and the run is 3

So 4/3 is the slope

In the y= Mx + b equation you would set the equation like this:

y= 4/3 + -5

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1 year ago
What is the common ratio for this sequence? Hurry!!!!!
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6 0
2 years ago
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What is the completely factored form of f(x)=x3+5x2+4x−6?
Gre4nikov [31]
f(x)=x^3+5x^2+4x-6
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Synthetic division yields

-3  |  1   5   4   -6
.    |      -3  -6    6
- - - - - - - - - - - - -
.    |  1   2  -2    0

which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))
3 0
3 years ago
Knut had picked strawberries during the summer holidays. First days he picked 9090 baskets of strawberries! The next day he was
jasenka [17]

Answer:

190 baskets of strawberries

Step-by-step explanation:

The question is incomplete as it didn't state what we are to determine from the information given.

Let's determine total amount picked in the three days.

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Amount of strawberries on 2nd day = 2/3 of the amount picked 1st day

= (2/3)(90)

Amount of strawberries on 2nd day = 60 baskets of strawberries

Amount of strawberries picked on 3rd day = (2/3) of the amount picked 2nd day

= (2/3) (60)

Amount of strawberries picked on 3rd day = 40 basket of strawberries

Total amount picked for 3 days = 90+60+40

= 190 baskets of strawberries

4 0
3 years ago
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Goshia [24]

Do we have to solve for M if so, the answer is

m-37  = 56

m =56 + 37

m = 93

hope it's helpful

8 0
3 years ago
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