What is the correlation coefficient for the data shown in the

There are 2 more angles. m angle 7 and m angle 8

Licemer1 [7]

ANSWER:

A and B aren't parallel lines, as the alternate angles aren't equivalent to each other.

For m angle 1 -

Vertically opposite angles are equivalent to each other.

m angle 1 is vertically opposite m angle 4.

Therefore:

m angle 4 = 100

m angle 1 = m angle 4

m angle 1 = 100

For m angle 6 -

Co-interior angles add up to 180°.

m angle 4 and m angle 6 are co-interior angles.

Therefore:

m angle 4 = 100

m angle 4 + m angle 6 = 180

100 + m angle 6 = 180

m angle 6 = 180 - 100

m angle 6 = 80

For m angle 7 -

Vertically opposite angles are equivalent to each other.

m angle 6 is vertically opposite m angle 7.

Therefore:

m angle 6 = 80

m angle 7 = m angle 6

m angle 7 = 80

For m angle 8 -

Corresponding angles are equivalent to each other.

m angle 8 and m angle 4 are corresponding angles.

Therefore:

m angle 4 = 100

m angle 8 = m angle 4

m angle 8 = 100

Hence, the angles are as follows:

m angle 1 = 100

m angle 6 = 80

m angle 7 = 80

m angle 8 = 100

Hope this helps! <3

5 0

3 years ago

0.72 is ten times as much as ________. *

RideAnS [48]

Answer:

0.072 or .072

Step-by-step explanation:

0.72 is ten times as much as 0.072.

0.072 times 10 is .72.

0.72 / 10 = 0.072 .

5 0

3 years ago

Read 2 more answers

3080.34 rounded to the nearest whole number

Allushta [10]

Answer:

3080

Step-by-step explanation:

this is because after the decimal there is a 3 and when you round with a 3 the number stays the same.

4 0

3 years ago

Read 2 more answers

Giselle pays $190 in advance on her account at the athletic club. Each time she uses the club, $10 is deducted from the account.

Archy [21]

Y= -10x + 190

In using a linear function, follow the pattern y=mx + b.
In this scenario, the m (which represents slope) is -10 since $10 is taken away every time. The b(which represents y-int) is 190 because you start with 190 (x=0)

7 0

3 years ago

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(a) Find a vector parallel to the line of intersection of the planes −4x+2y−z=1 and 3x−2y+2z=1.

valentinak56 [21]

Find the intersection of the two planes. Do this by solving for z in terms of x and y ; then solve for y in terms of x ; then again for z but only in terms of x.

-4x + 2y - z = 1 ==> z = -4x + 2y - 1

3x - 2y + 2z = 1 ==> z = (1 - 3x + 2y)/2

==> -4x + 2y - 1 = (1 - 3x + 2y)/2

==> -8x + 4y - 2 = 1 - 3x + 2y

==> -5x + 2y = 3

==> y = (3 + 5x)/2

==> z = -4x + 2 (3 + 5x)/2 - 1 = x + 2

So if we take x = t, the line of intersection is parameterized by

r(t) = ⟨t, (3 + 5t )/2, 2 + t⟩

Just to not have to work with fractions, scale this by a factor of 2, so that

r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩

(a) The tangent vector to r(t) is parallel to this line, so you can use

v = dr/dt = d/dt ⟨2t, 3 + 5t, 4 + 2t⟩ = ⟨2, 5, 2⟩

or any scalar multiple of this.

(b) (-1, -1, 1) indeed lies in both planes. Plug in x = -1, y = 1, and z = 1 to both plane equations to see this for yourself. We already found the parameterization for the intersection,

r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩

3 0

3 years ago