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An angle is equal to one-third of its complement. Find the angle's measure.

artcher [175]

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

1/3y+11=1/2y-3<br><br> What is y???

JulijaS [17]

Answer:

y = 84

Step-by-step explanation:

1) add 3 to both sides of your equation to cancel out the -3

end up with: (1/3)y + 14 = (1/2)y

2) multiply both sides of your equation by 2 to cancel out the (1/2)

end up with: (2/3)y + 28 = y

3) subtract (2/3)y from both sides of the equation to cancel out the positive (2/3)y

end up with: 28 = (1/3)y

4) multiply both sides of the equation by 3 to cancel out the (1/3)

end up with: 84 = y

6 0

3 years ago

Noah applies two transformations to WXYZ so that the final vertices of the transformed

krok68 [10]

Answer:

ok

Step-by-step explanation:

4 0

3 years ago

Please answer I will give brainliest

Eddi Din [679]

Felipe earned 375 dollars each week because if you divide 4,500 to 12.

3 0

3 years ago

The sets A, B, and C are defined as follows:

PilotLPTM [1.2K]

The element of B × A × C is equivalent to the element of A × B × C.

B × A × C = {tall foam nonfat, tall foam whole, tall no-foam nonfat, tall no-foam whole, grande foam non fat, grande foam whole, grande no foam nonfat, grande no foam whole, venti foam nonfat,, venti foam whole, venti nofoam nonfat, venti nofoam whole}

For the element of B × C

B × C = {foam nonfat, foam whole, no foam nonfat, no foam whole}

<h3>Product of sets</h3>

Given the following sets

A = {tall, grande, venti}

B = {foam, no-foam}

C = {non-fat, whole}

The set of A * B is expressed as:

A * B = {tall foam, tall no foam, grande foam, grande no foam, venti foam, venti nofoam}

A × B × C = {tall foam nonfat, tall foam whole, tall no-foam nonfat, tall no-foam whole, grande foam non fat, grande foam whole, grande no foam nonfat, grande no foam whole, venti foam nonfat,, venti foam whole, venti nofoam nonfat, venti nofoam whole}

The element of B × A × C is equivalent to the element of A × B × C.

B × A × C = {tall foam nonfat, tall foam whole, tall no-foam nonfat, tall no-foam whole, grande foam non fat, grande foam whole, grande no foam nonfat, grande no foam whole, venti foam nonfat,, venti foam whole, venti nofoam nonfat, venti nofoam whole}

For the element of B × C

B × C = {foam nonfat, foam whole, no foam nonfat, no foam whole}

Learn more on set notation here: brainly.com/question/24462379

8 0

2 years ago