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3 years ago

Find the value of x. The dot represents the center of the circle,

Mathematics

1 answer:

djyliett [7]3 years ago

5 0

Answer:

$x=16\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Triangle ABC and ADE are congruent triangles by SSS Theorem postulate

therefore

$x=8(2)=16\ units$

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3 years ago

Find the perimeter of the triangle with vertices A(negative 2,2,3), B(4,negative 4,3), and C(7,6,4).

gayaneshka [121]

Answer:

$P\approx 28.872\,\text{units}$

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

for the side AB: A(-2,2,3) and B(4,-4,3)

$AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}$

$AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}$

$AB = \sqrt{72}$

for the side BC: B(4,-4,3) and C(7,6,4)

$BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}$

$BC = \sqrt{110}$

for the side CA: C(7,6,4) and A(-2,2,3)

$CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}$

$CA = \sqrt{98}$

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

$P = AB + BC + CA$

$P = \sqrt{72} + \sqrt{110} + \sqrt{98}$

$P\approx 28.872\,\text{units}$

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3 years ago

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Maksim231197 [3]

Answer:

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Step-by-step explanation:

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3 years ago

Which angle has a measure closet to 30 degrees?

gladu [14]

Answer:

Step-by-step explanation:

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3 years ago

HELP PLEASE IM STUCK

Anarel [89]

Answer:

y°= 51.30°

Step-by-step explanation:

Apply the formula for tangent of an angle

Tan Ф = opposite side length/adjacent side length

Tan y= 10/8

Tan y= 1.25

y° = tan⁻(1.25) = 51.34°

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8 0

3 years ago

Find the value of x. The dot represents the center of the circle,​

Find the value of x. The dot represents the center of the circle,