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3 years ago

What property describes the number sentence 6 + 0 equal 6

Mathematics

1 answer:

Finger [1]3 years ago

3 0

This is the identity property of addition.

It states that any number added to 0 is itself.

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Write a two step equation that has -5 as it solution.

Sonbull [250]

Answer:

$x^2 + 10x + 25 = 0$

Step-by-step explanation:

$x^2 + 10x + 25 = 0$

$(x + 5)^2 = 0$

$x = -5$

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3 years ago

In trapezoid $ABCD$, $\overline{AB}$ is parallel to $\overline{CD}$, $AB = 7$ units, and $CD = 10$ units. Segment $EF$ is drawn

Mekhanik [1.2K]

Answer:

EF = 58/7

Step-by-step explanation:

If you extend both BC and AD to meet at P you get 3 similar triangles PAB, PEF, and PCD. Let's call BF = 3x and FC = 4x. Therefore the following proportions can be expressed:

BP/7 = (BP+7x)/10

10BP = 7*(BP+7x)

10BP = 7BP+49x

3BP = 49x

BP = (49/3)x

BP/7 = (BP+3x)/EF

EF = (BP+3x)*7/BP

EF = ((49/3)x + 3x)*7/((49/3)x)

EF = ((58/3)x*7*3)/(49x)

EF = 58/7

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