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2 years ago

Given parallelogram SNOW, diagonals SO and NW intersect at D.

Mathematics

1 answer:

Reil [10]2 years ago

4 0

Answer:

The length of SO is 46 units

Step-by-step explanation:

In a parallelogram, diagonals bisect each other, which means meet each other in their mid-point

∵ SNOW is a parallelogram

∵ SO and NW are diagonals

∵ SO ∩ NW at point D

→ That means D is the mid-point of SO and NW

∴ D is the mid-point of SO and NW

∵ D is the mid-point of SO

→ That means D divide SO into two equal parts SD and DO

∴ SD = DO

∵ SD = 9x + 5

∵ DO = 13x - 3

→ Equate them

∴ 13x - 3 = 9x + 5

→ Subtract 9x from both sides

∵ 13x - 9x - 3 = 9x - 9x + 5

∴ 4x - 3 = 5

→ Add 3 to both sides

∵ 4x - 3 + 3 = 5 + 3

∴ 4x = 8

→ Divide both sides by 4

∴ x = 2

→ To find the length of SO substitute the value os x in SD and DO

∵ SO = SD + DO

∵ SD = 9(2) + 5 = 18 + 5 = 23

∵ DO = 13(2) - 3 = 26 - 3 = 23

∴ SO = 23 + 23 = 46

∴ The length of SO is 46 units

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Answer:

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Step-by-step explanation:

The complete question is

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3 years ago

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Answer:

135 degrees \

Step-by-step explanation:

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Subtract x from the right

4x= 108

divide by 4

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Substitute for x in the original equation

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3 years ago

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3 years ago

What is m∠C? Round the value to the nearest degree.

Elis [28]

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Step-by-step explanation:

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Then, to find an angle α, this is:

$\alpha =arcsin(\frac{opposite}{hypotenuse})$

In this case, you can identify that:

$\alpha =m\angle C\\\\opposite=AB=36\ cm\\\\hypotenuse=AC=45\ cm$

Then, substituting values into $\alpha =arcsin(\frac{opposite}{hypotenuse})$ and evaluating, you get that the measure of the angle "C" to the nearest degree, is:

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2 years ago

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marta [7]

Answer:

Step-by-step explanation:

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$f(x)=x^{3}-x^{2} -x+1$

Substituting x = 0 in this function, we get:

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3 years ago