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3 years ago

Two line segments intersect as shown.

Mathematics

1 answer:

kolbaska11 [484]3 years ago

4 0

Answer:

CE congruent ED

Step-by-step explanation:

A perpendicular bisector is a line segment which perpendicularly intersects another line, thereby dividing it into two equal parts. In fact, the Perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment’s endpoints.

The perpendicular bisector, AB, bisects CD at a point E, that is, the length CE is equal to ED. And the angle formed between the two lines is 90 degrees.

Therefore, the additional pertinent information that allows for the conclusion that AB is a perpendicular bisector of CD is that "CE congruent ED".

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Factor (x-1)^3 (4x-9) - (16x+9) (x+1)^2 ? Please explain steps, I'm stuck !

Lapatulllka [165]

$(x-1)^3 (4x-9) - (16x+9) (x+1)^2$

$= (x^3-3x^2+3x-1) (4x-9) - (16x+9) (x^2+2x+1)$

$= (4x^4-12x^3+12x^2-4x-9x^3-27x^2-27x+9)-(16x^3+32x^2+16x+9x^2+18x+9)$

$= (4x^4-21x^3+39x^2-31x+9)-16x^3-32x^2-16x-9x^2-18x-9$

$= 4x^4-21x^3+39x^2-31x+9-16x^3-32x^2-16x-9x^2-18x-9$

$= 4x^4-37x^3-2x^2-65x$

$= x(4x^3-37x^2-2x-65)$

hence final factor is $x(4x^3-37x^2-2x-65)$

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3 years ago

If Hanna extends the pattern in the highlighted rows to include a ratio that has a first term of 20, what would be the second te

podryga [215]

Answer:

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Step-by-step explanation:

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3 years ago

Is 10/9 closer to 0, 1/2, or 1

Setler [38]

If the question had asked what is 9/9 closer to you would say 1. When you increase the numerator by one digit go higher than 1.
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so it is closer to 1 than to anything else

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3 years ago

What are the numbers of pi

guapka [62]

Answer:

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Step-by-step explanation:

I hope this helps

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3 years ago

The selling price of an item is $390. After 6 months of not selling, it is marked down by 10%. After another 6 months of not

Shkiper50 [21]

Answer:

$246

Step-by-step explanation:

The price of the product is $390, after 6 months the price is marked down by 10% which is $39 so the total will be $351. After another 6 months the price is marked down again by 30%, which is $105 and 3 cents ($105.3). For a total of $245 and 7 cents ($245.7). To round the number you only need to look at the number after the decimal which is 7 in this case. Any number bellow 5 counting 5 in it, will stay the same number, any number above 5 without counting 5 will be the next number. So $245.7 rounded to the nearest dollar will be $246.

Hope it was helpful ^^ <3

Good Luck

7 0

4 years ago