Let $x^\circ$ be the measure of the angle in question. Its complement has measure $(90-x)^\circ$ . We're told that this angle is congruent to 1/3 of its complement, so that

$x^\circ=\dfrac{(90-x)^\circ}3\implies3x^\circ=(90-x)^\circ\implies4x^\circ=90^\circ\implies x=22.5^\circ$

8 0

3 years ago

WILL GIVE BRAINLIEST! Match the equations that are the same

wolverine [178]

Answer:

1. 1/x = 8

Answer = 8x-1

2. 8x+1=3

Answer ; x=1/4

3. 7= 14/X

Answer ; x = 2

4.1/2x^2 = 2

Answer ;x=2

Step-by-step explanation:

$\frac{1}{x} =8 \\8x = 1\\\\\\8x+1=3\\Collect -like- terms \\8x =3-1\\8x = 2\\Divide -both -sides- by ;8\\\frac{8x}{8} =\frac{2}{8} \\x = 1/4\\\\\\7= \frac{14}{x} \\Cross -multiply\\7x =14\\Divide-both-sides-by-7\\x = 2\\\\\\\frac{1}{2} x^{2} =2\\\frac{x^{2} }{2} =2\\Cross-multiply\\x^{2} =4\\Squre-root -both-sides\\\sqrt{x^2}=\sqrt{4} \\x = 2\\$

6 0

2 years ago

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Isabel bought a new jacket for $48 before tax. She paid 6.5% in sales tax. How much was the sales tax?

AleksandrR [38]

C) $3.12
$48*.065=$3.12

6 0

3 years ago

Solve 4x + 1 = 2x -5

Jobisdone [24]

∑ Hey, ramosblan81 ⊃

Answer:

x = -3

Step-by-step explanation:

⇒ Given:

4x + 1 = 2x -5

║ Solve ║:

4x + 1 = 2x -5

Subtracting 1 from both sides:

4x + 1 = 2x -5

4x + 1 - 1 = 2x -5 -1

4x = 2x - 6

Now subtracting 2x from both sides:

4x - 2x = 2x - 6 - 2x

2x = -6

Then divide both sides by 2

2x/2 = -6/2

x = -3

Thus, the answer is x = -3.

xcookiex12

8/18/2022

3 0

10 months ago

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