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3 years ago

WILL GIVE BRAINLEST

Mathematics

1 answer:

Viefleur [7K]3 years ago

5 0

Answer:

do we answer all of them are just one

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PLEASE PLEASE HELP <3

anzhelika [568]

Answer:

Step-by-step explanation:

∠ AFD = ∠ AFB + ∠ BFC + ∠ CFD

The 3 angles form a straight angle and sum to 180°, that is

4x + 5 + 6x + 3 + 5x + 7 = 180, that is

15x + 15 = 180 ( subtract 15 from both sides )

15x = 165 ( divide both sides by 15 )

x = 11

∠ CFD = 5x + 7 = 5(11) + 7 = 55 + 7 = 62°, thus

∠ AFE = ∠ CFD = 62° ( vertical angles are congruent )

3 0

3 years ago

Find a formula for the inverse of the function. f(x) = e^6x − 9

STatiana [176]

Answer:

$f^{-1}(x)=\frac{1}{6}\ln(x+9)$

Step-by-step explanation:

So we have the function:

$f(x)=e^{6x}-9$

To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:

$x=e^{6f^{-1}(x)}-9$

Add 9 to both sides:

$x+9=e^{6f^{-1}(x)}$

Take the natural log of both sides:

$\ln(x+9)=\ln(e^{6f^{-1}(x)})$

The right side cancels:

$\ln(x+9)=6f^{-1}(x)$

Divide both sides by 6:

$f^{-1}(x)=\frac{1}{6}\ln(x+9)$

And we're done!

7 0

3 years ago

What is smaller...<br> 3/10<br> 0.4<br> 35%

VMariaS [17]

Convert all of them in decimals

3 ÷ 10 = 0.3

0.4

35% ÷ 100 = 0.35

Order from least to greatest--

3/10, 35%, 0.4

3/10 is the smallest

7 0

3 years ago

Read 2 more answers

in a class children, three quarters are chinese, one fifth are malay, and the rest are indian. what fraction of the class are in

Rudiy27

Answer:

$\frac{1}{20}$

or 5%

Step-by-step explanation:

Explanation:

3/4=15/20

1/5=4/20

So, rest of 'em 1/20

3 0

2 years ago

Read 2 more answers

The quotient of twice a number t and 12

Misha Larkins [42]

2t/12 is the answer you're looking for

3 0

3 years ago