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Natalija [7]
3 years ago
13

Geometry help will give brainliest solve empty ones

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
3 0
H = 72°

k = 18°

m = 54

The measure of angle C is 108°. Angle C is a vertical angle along angle m and its adjacent angle. Furthermore, angle m and its adjacent angle to the right are congruent.

So, the equation used to find angle m is 2x = 108.

n = 62°

I think that r = 108° because it should be congruent to f because they look like alternate exterior angles.

Then, angles r and p form a linear pair so they are equal to 180°.

Knowing that r = 108°, p must be 72°.

Angle q, its consecutive adjacent angle to the left to which it's congruent to, and angle p all form a linear pair. So, 72 + 2q = 180. By simplifying this, we'll have q = 54°.

In order to find angle l, we need to understand that a triangle's total sum of interior angles is 180°.

18 + 72 + x = 180

90 + x = 180

x = 90

So, the measure of angle L is 90°.
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1.) We don't reject the null

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Given that ; we have a standardized test statistic and α - values ;

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B.)

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f(t)=\begin{cases}0&\text{for }t

Recall that

u(t)=\begin{cases}0&\text{for }t

Take it one piece at a time. For t\ge0, we can scale u(t) by -5:

-5u(t)=\begin{cases}0&\text{for }t

If we shift the argument by 1 and scale by -5, we have

-5u(t-1)=\begin{cases}0&\text{for }t

so if we subtract this from -5u(t), we'll end up with

-5u(t)+5u(t-1)=\begin{cases}0&\text{for }t

For the next piece, we can add another scaled and shifted step like

-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t

so that

-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t

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6u(t-7)=\begin{cases}0&\text{for }t

and so putting everything together, we get f(t):

f(t)\equiv-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)+6u(t-7)
f(t)\equiv-5u(t)-u(t-1)+12u(t-7)
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