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4 years ago

Write down two expressions for the perimeter of this shape one with brackets and one without

Mathematics

1 answer:

dexar [7]4 years ago

8 0

The formula of a perimeter is:2(L+l) or 2*L+2*l

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Please assist with this 2 column proof

OverLord2011 [107]

Answer:

use the symmetric and transitive properties of congruence

Step-by-step explanation:

(1) ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF; given

(2) ∠DEF ≅ ∠GHI; symmetric property of congruence

(3) ∠ABC ≅ ∠GHI; transitive property of congruence (QED)

_____

<em>Additional comment</em>

The transitive property says if A≅B and B≅C, then A≅C. We used the symmetric property to swap sides of the congruence symbol with DEF and GHI to put the statement in the form to match the transitive property.

You will note we used the form ...

(statement number) statement; reason

with statement and reason separated by a semicolon.

6 0

3 years ago

(6(1) = -5<br> 1) Find (4) in the sequence given by<br> (6(n) = b(n − 1) +9

Sloan [31]

Answer:

f(4) = 22

Step-by-step explanation:

I think that you type wrongly.

we have f(1) = -5

and f(n) = f(n-1) + 9

Find f(4)

Then

with n= 2 we have f(2) = f(1) + 9 = - 5+ 9= 4

with n= 3 we have f(3) = f(2) + 9 = 4 + 9= 13

and finally with n= 4 we find f(4) = f(3) + 9 = 13+ 9= 22

So f(4) = 22

Hope you understand.

8 0

3 years ago

Read 2 more answers

Which situation shows a constant rate of change

damaskus [11]

Answer: the amount a person pays for gas compared with the number of gallons purchased

Step-by-step explanation:

5 0

3 years ago

Which region did the Visigoths most likely settle?

Naddika [18.5K]

Answer:

It was Romania, so Spain.

6 0

3 years ago

Read 2 more answers

given: sin theta= 2/3 and theta is in the second quadrant; evaluate the following expression. sin2theta

andre [41]

The value of $\sin(2\theta)$ is $-\frac {-4\sqrt 3 }9$

<h3>Sine ratio </h3>

The sine ratio is given as:

$\sin(\theta) = \frac23$

<h3>Trigonometry</h3>

In trigonometry, we have the following ratio

$\sin^2(\theta) + \cos^2(\theta) = 1$

Substitute $\sin(\theta) = \frac23$ in the above equation

$\frac 23 + \cos^2(\theta) = 1$

Collect like terms

$\cos^2(\theta) = 1 -\frac 23$

Evaluate

$\cos^2(\theta) =\frac 13$

Take square roots

$\cos(\theta) =\pm\frac 1{\sqrt 3 }$

Rationalize

$\cos(\theta) =\pm\frac {\sqrt 3 }3$

From the question, $\theta$ is in the second quadrant, and cosine is negative.

So, we have:

$\cos(\theta) =-\frac {\sqrt 3 }3$

In trigonometry, we have:

$\sin(2\theta) = 2\sin(\theta)\cos(\theta)$

So, we have:

$\sin(2\theta) = 2\times \frac 23 \times -\frac {\sqrt 3 }3$

$\sin(2\theta) = -\frac {-4\sqrt 3 }9$

Hence, the value of $\sin(2\theta)$ is $-\frac {-4\sqrt 3 }9$

Read more about trigonometry ratios at:

brainly.com/question/10417664

7 0

2 years ago