The ratio of the measures of the angles in a triangle is 8:3:4 find the measures of the angles

Mathematics

1 answer:

NeTakaya3 years ago

3 0

<h3>The measure of angles of triangle are 96 degree, 36 degree and 48 degrees</h3>

<em><u>Solution:</u></em>

The ratio of the measures of the angles in a triangle is 8:3:4

Let the first angle be 8x

Let the second angle be 3x

Let the third angle be 4x

We know that,

sum of all angles in triangle is 180 degrees

Therefore,

8x + 3x + 4x = 180

15x = 180

x = 12

Thus,

First angle = 8x = 8(12) = 96

second angle = 3x = 3(12) = 36

third angle = 4x = 4(12) = 48

Thus measure of angles of triangle are 96 degree, 36 degree and 48 degrees

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The square below has an area of

Solnce55 [7]

Answer:

8-x meters

Step-by-step explanation:

Both 64 and x^2 are perfect squares, since 64=(8)^2 and x^2=(x)^2.

Additionally, 16x is twice the product of the roots of 64 and x^2, since 16x=2(8)(x).

So we can use h the square of a difference pattern to factor:

a^2-2(a)(b)+b^2=(a-b)^2

In this case, a=8 and b=x:

(8)^2-2(8)(x)+(x)^2=(8-x)^2

In conclusion...

64-16x+x^2=(8-x)^2

So the side length of the square is 8-x meters.

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3 years ago

The distance between the point (2,1,1) and the plane x-2y=5 is

Eduardwww [97]

The given plane has normal vector

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Scaling <em>n</em> by a real number <em>t</em> gives a set of vectors that span an entire line through the origin. Translating this line by adding the vector <2, 1, 1> makes it so that this line passes through the point (2, 1, 1). So this line has equation

$\mathbf r(t)=\langle1,-2,0\rangle t+\langle2,1,1\rangle=\langle 2+t, 1-2t, 1\rangle$