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attashe74 [19]
3 years ago
5

Given: FGKL is a trapezoid, m∠F=90°, m∠K=120°, FK=LK=a Find: The length of midsegment.

Mathematics
1 answer:
lisov135 [29]3 years ago
7 0

Try this solution (note, the length of midsegment is (KG+FL)/2), all the details are in the attachment.

Answer is marked with green colour.

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Simplify each algebraic expression.
GREYUIT [131]

Answer:

\huge\boxed{\sf-2x+28}\\\\\huge\boxed{\sf 10x-4}\\\\\huge\boxed{\sf 56-5x}\\\\\huge\boxed{\sf x-13}

Step-by-step explanation:

\sf 2x + 4(7-x)  \\\\Resolving \ Parenthesis\\\\2x + 28-4x \\\\Combining\ like\ terms\\\\2x-4x +28\\\\-2x + 28\\\\\rule[225]{225}{2}

\sf \\12x-(4+2x)\\\\12x-4-2x\\\\Combining \ like \ terms\\\\12x-2x - 4\\\\10x-4 \\\\\rule[22]{225}{2} \\2(10-x)+3(12-x) \\\\Resolving \ Parenthesis\\\\20-2x + 36 -3x\\\\Combining \ like \ terms\\\\20+36 -2x-3x\\\\56 - 5x \\\\\rule[225]{225}{2}

\sf 7(x-1)-6(x+1)\\\\Resolving \ Parethesis\\\\7x-7-6x-6\\\\Combining \ like \ terms\\\\7x-6x-7-6\\\\x - 13\\\\\rule[225]{225}{2}

Hope this helped!

~AnonymousHelper1807

3 0
3 years ago
a certain number of two digit is three times the sum of its digit and if 45 added to it the digit will be reversed find the numb
bogdanovich [222]
· Author has 184 answers and 67.6K answer views
Let the number be (10 x + y)

Then, 10 x + y = 3 * (x + y) (given)

Or, 10 x + y = 3 x + 3 y

Or, 10 x - 3 x = 3 y - y

Or, 7x = 2 y

Or, x = 2 y / 7 ( Eq. 1)

Also, 10 x + y + 45 = 10 y + x ( given)

Or, 10 x - x = 10 y - y - 45

Or, 9 x = 9 y - 45 ( Eq. 2)

Substituting the value of x from (Eq. 1) in (Eq. 2), we have:

9 * 2 y / 7 = 9 y - 45

Or, (9 y ) - (18 y / 7) = 45

Or, 63 y - 18 y = 315

Or, 45 y = 315

Or, y = 7

From (Eq. 1),

x = 2 * 7 / 7 = 2

So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27

Answer

Check:

Sum of the digits = 2 + 7 = 9

9 * 3 = 27 ✓

Adding 45 to the number 27, we get 72. So, the digits get reversed.
5 0
3 years ago
The length of a rectangular field is 7 m less than 4 times the width. The perimeter is 136 m. Find the width and length
cestrela7 [59]

Answer:

Width: 15 Length: 53

Step-by-step explanation:

7 0
3 years ago
Please help this is due tonight and there is more to this
GrogVix [38]

Answer:

1/8

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
3 true conjectures that students may make concerning even and odd numbers
Elza [17]
Even numbers are divided by two

Even numbers are easier to cope with in math problems

There are only odd prime numbers
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3 years ago
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