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Vinil7 [7]
3 years ago
14

In square ABCD, point M is the midpoint of side AB and point N is the midpoint of side BC. What is the ratio of the area of tria

ngle AMN to the area of square ABCD? Express your answer as a common fraction

Mathematics
2 answers:
ruslelena [56]3 years ago
7 0

Answer:

The ratio of the area of triangle AMN to the area of square ABCD is 1:8.

Step-by-step explanation:

Check attachment for solution

Phoenix [80]3 years ago
6 0

Answer:

Ratio of triangle AMN to square ABCD = 1/8

Step-by-step explanation:

area AMN = Area ABN - Area MNB

Where AB = BC = x

Area AMN = [ ½ *( x * ½x )] - [ ½( ½x * ½x)] = x²/8

Area of ABCD = x* x = x²

So therefore:

The ratio of area of triangle AMN to area of square ABCD would be

= (x²/8) / x²

=1/8

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kap26 [50]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Determine if each pair or ratio or rate is equivalent. 16 out of 28 and 240 of 560
Keith_Richards [23]

Those ratios are not equivalent because 240 divided by 16 is 15 and 560 divided by 28 is 20.

5 0
3 years ago
(x+2) is one of the factors of the polynomial x³+13x²+32x+20. Find its remaining factors.
Liula [17]

Answer:

x^2+11x+10

or

(x+1)(x+10) since you can factor x^2+11x+10

Step-by-step explanation:

Let's do synthetic division.

We are dividing by x+2, so -2 will be on the outside. Like this:

-2 |         1          13          32         20

   |                     -2        -22         -20

   |___________________________

             1          11           10            0

The remainder is 0, so (x+2) is indeed a factor of x^3+13x^2+32x+20.

The other factor we found by doing this is (x^2+11x+10).

You can find more factors by factoring x^2+11x+10.

Two numbers that multiply to be 10 and add to be 11 is 10 and 1 so the factored form of x^2+11x+10 is (x+10)(x+1).

6 0
3 years ago
A retiree investment $6,000 in a saving plan that pays 4% per year what will the account balance be at the end of the first year
allsm [11]

Answer:

$6,240

Step-by-step explanation:

$6,000 x .04 = 240

$6,000 + 240 = $6,240

3 0
3 years ago
Is |4x+2|+6=0 no solution, all real numbers, 0, and 2
algol [13]

                                        <u>|4x + 2| + 6 = 0</u>

Subtract  6  from each side:  |4x + 2| = -6

But the absolute value of a number is always positive.
No value of 'x' can ever make  |4x + 2|  negative.

So the equation has <em>no solution</em>.


7 0
3 years ago
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