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MakcuM [25]
3 years ago
7

Quadrilateral ABCD is a parallelogram. If AB=2x-10 and CD=x+30,then AB=_​

Mathematics
1 answer:
Lerok [7]3 years ago
8 0

Answer: 70

Step-by-step explanation:

Because opposite sides of a parallelogram are equal, AB=CD. So,

2x-10=x+30

x=40

Therefore, AB=2(40)-10=70

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What is the value of x?<br><br><br><br> Enter your answer in the box.
Grace [21]
The shapes are similar.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Therefore,
\frac{42}{(15 + 42)} = \frac{x}{10 + x}

Simplify:
\frac{42}{57} = \frac{x}{10 + x}
Cross multiply:
42(10+x) = 57x
420 + 42x = 57x
420 = 57x - 42x
420 = 15x
x = (420÷15)
x = 28

3 0
3 years ago
I need help seeing what I did wrong
Makovka662 [10]

Answer:  The two roots are x = 3/2 and x = -2

=========================================================

Explanation:

You have the right idea so far. But the two numbers should be 3 and -4 since

  • 3*(-4) = -12
  • 3+(-4) = -1

The -1 being the coefficient of the x term.

This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.

---------

Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.

If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2

Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x

So we have the factor -x-2 along the top

The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.

We have the factor 2x-3 along the left side.

---------

The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)

The last thing to do is set each factor equal to 0 and solve for x

  • 2x-3 = 0 solves to x = 3/2 = 1.5
  • -x-2 = 0 solves to x = -2

The two roots are x = 3/2 and x = -2

8 0
3 years ago
NO LINKS!!!<br><br>Find the indicated side for each triangle below:​
pogonyaev

Problem 5

Apply the Law of Sines

s/sin(S) = r/sin(R)

s/sin(78) = 10/sin(48)

s = sin(78)*10/sin(48)

s = 13.162274

<h3>Answer:    13.162274 approximately</h3>

=============================================================

Problem 6

Use the Law of Sines here as well.

x/sin(X) = y/sin(Y)

x/sin(53) = 6/sin(22)

x = sin(53)*6/sin(22)

x = 12.791588

<h3>Answer:    12.791588 approximately</h3>
8 0
2 years ago
Read 2 more answers
How did I I get this wronggggggg
SIZIF [17.4K]

Answer:

mhmmm  well i don't know what you got wrong but it was prob cus u didnt sum wrong or wasn't paying attention to what you were doing. Hope this helpss have a safe and joyful holiday

Step-by-step explanation:

8 0
3 years ago
a drilling team detected water 38 feet below the ground. if it took workers 8 days to be able to dig and pull up the water, how
xz_007 [3.2K]

Answer:

On average, the workers dig 4.75ft each day. Also, what x and y questions?

Step-by-step explanation:

Take 38/8=4.75

I hope you have a great day and make me the brainliest.

3 0
2 years ago
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