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2 years ago

Find the value of x in the diagram shown below.

Mathematics

1 answer:

Serggg [28]2 years ago

6 0

Answer:

∠DFA = 82°

Step-by-step explanation:

According the property of inscribed angles and arcs, the angle is half of the arc length.

Solving :

∠CFB = 1/2 x ∡CB
∠CFB = 1/2 x 164°
∠CFB = 82°
∠CFB = ∠DFA (Vertically Opposite Angles)
∠DFA = 82°

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7/10

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Calculate the perimeter of this shape. 12 cm 18 cm

Lisa [10]

Answer:

$12 +18 + x+y + z +w$

In this special case we know that $x+y =12$ and $z+w =18$ and for this case we can add all the values 12+18 +12+18=60 and that represent the perimeter

Step-by-step explanation:

For this case we know that the perimeter is given by:

$12 +18 + x+y + z +w$

In this special case we know that $x+y =12$ and $z+w =18$ and for this case we can add all the values 12+18 +12+18=60 and that represent the perimeter

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3 years ago

Kelly inherits land which had a basis to the decedent of $95,000 and a fair market value of $50,000 on August 4, 2018, the date

Degger [83]

Answer:

The correct option is;

Her recognized loss is ($1,000)

Step-by-step explanation:

The given information are;

The basis of the land to the decedent = $95,000

The land's market value on 4th of August 2018 when the decedent died = $50,000

The alternate valuation date = 6 months + The date of death of the decedent = 4th February, 2019

The value filed by the executor on the tax return using the alternate valuation date = The market value of the estate on 4th of February 2019

The market value of the land on 4th of February 2019 = $45,000

∴ The value filed by the executor on the tax return using the alternate valuation date = $45,000

The value of the land on November 12, 2018 when the executor distributed the land to Kelly = $49,000

The value at which Kelly sells the land on June 10, 2019 = $48,000

Given that, recognized gain is the profit made from selling an asset based on the value of the asset when it was obtained, we have;

Kelly's recognized gain or loss = (The value at which Kelly sells the land) - (The value of the land when the executor distributed the land to Kelly)

Kelly's recognized gain or loss = $48,000 - $49,000 = -$1,000 = ($1,000)

Therefore, Kelly's recognized loss = ($1,000).

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3 years ago

Find vertex of: y=(x-4)(x+8)

ki77a [65]

Answer:

(-2,-36)

Step-by-step explanation:

$y=(x-4)(x+8)$

1) Find the zeros of the parabola

The zero-product property states that any value, when multiplied by 0 will equal 0. Therefore, to make y=0, either (x-4)=0 OR (x+8)=0.

Therefore, x=4 and x=-8.

2) Find the x-coordinate of the vertex

To do this, we take the average of our zeros.

$\frac{4+(-8)}{2} \\=\frac{-4}{2} \\=-2$

Therefore, the x-coordinate of the vertex is -2.

3) Find the y-coordinate of the vertex

Plug the x-coordinate back into the original equation

$y=(-2-4)(-2+8)\\y=(-6)(6)\\y=-36$

Therefore, the y-coordinate of the vertex is -36.

Therefore, the vertex of the parabola is (-2,-36).

I hope this helps!

6 0

3 years ago