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qwelly [4]
3 years ago
8

Lines a and b are parallel. What is the measure of ∠3 if ∠6 measures 84°?

Mathematics
2 answers:
Anon25 [30]3 years ago
7 0

Answer:

C) 84°

Step-by-step explanation:

Ray Of Light [21]3 years ago
4 0

Answer:

it also measures 84° because 3is alternate angle to 6

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Let f(x) = cx^k be a power function such that f(13) is four times the size of f(1). What is the power k?
Ivenika [448]

Answer:

0.540

Step-by-step explanation:

Hi there,

To get started in order to solve this, please recall the property of logarithms.

This question is a bit tricky, but doable. Best way to solve this is first compare the two functions:

f(x) = cx^{k} \\ f(13)=4f(1)  

Now, let's see what the function gives at 13 and 1:

f(13)=c13^{k}\\f(1)=c1^{k}

Something to recognize is that 1 to the power of <em>anything</em> is just 1, so f(1) is reduced to:

f(1)=c  We are making progress!

Next, we can set both f(13) forms equivalent to each other, watch this:

f(13)=f(13) = 4f(1) but we know what f(1) is equal to, and let's substitute our knowns:

c13^{k}=4c1^{k} = 4c the c constant on both left and right side cancel out:

13^{k}=4 Now, take the logarithm form of both side of the equation. I used natural log, but you can also use common logs:

ln(13^{k})=ln(4)  ⇒ k*ln(13)=ln(4) this was performed using <em>the power  log rule. </em>

Isolate k:

k=\frac{ln(4)}{ln(13)} =0.540 using a calculator.

If you liked this solution, hit Thanks or give a rating!

thanks,

8 0
3 years ago
In ΔDEF, the measure of ∠F=90°, the measure of ∠E=32°, and FD = 9.6 feet. Find the length of EF to the nearest tenth of a foot.
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Answer:

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Step-by-step explanation:

we know that

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tan(E)=\frac{FD}{EF} ----> by TOA (opposite side divided by adjacent side)

substitute the given values

tan(32^o)=\frac{9.6}{EF}

solve for EF

EF=\frac{9.6}{tan(32^o)}=15.4\ ft

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A cube with a volume of 75 cm is dilated bya factor of 5.
denis-greek [22]

Answer:

The volume of the dilated cube is 9375cm³. The volume of the original cube is 75 cm³. The scale factor for the dilation is 5. We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.

Step-by-step explanation: If thats

not right, then i am sorry, i am just getting started

7 0
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