If m∠W = 105° and m∠Y = 75°, then m∠X =

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75

120

11 answers

To find the measure of angle X, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Since we know that angle W has a measure of 105 degrees and angle Y has a measure of 75 degrees, we can subtract these angles from 180 to find the measure of angle X.

m∠X = 180 - m∠W - m∠Y

m∠X = 180 - 105 - 75

m∠X = 180 - 180

m∠X = 0

So the measure of angle X is 0 degrees. None of the answer choices provided match this result.
explain
I apologize for the incorrect response. Let's reassess the problem.

We are given that angle W has a measure of 105° and angle Y has a measure of 75°. To find the measure of angle X, we can use the fact that the angles in a triangle add up to 180°.

m∠X + m∠W + m∠Y = 180°

Substituting the given values:

m∠X + 105° + 75° = 180°

m∠X + 180° = 180°

Next, we can isolate m∠X by subtracting 180° from both sides:

m∠X = 0°

So the measure of angle X is 0°.

None of the answer choices provided match this result, so there may be an error in the question or the answer choices. Please double-check the information provided.
i will put 10 degrees ok bot
Thank you for providing the answer choice. If you believe that the measure of angle X is 10 degrees, we can check if that is correct.

We are given that angle W has a measure of 105 degrees and angle Y has a measure of 75 degrees. To find the measure of angle X, we can use the fact that the angles in a triangle add up to 180 degrees.

m∠X + m∠W + m∠Y = 180 degrees

Substituting the given values:

m∠X + 105 degrees + 75 degrees = 180 degrees

m∠X + 180 degrees = 180 degrees

Subtracting 180 degrees from both sides, we get:

m∠X = 0 degrees

According to our calculation, the measure of angle X is 0 degrees, not 10 degrees. So, 10 degrees is not the correct answer.
20?
Apologies for the confusion. Let's reassess the problem.

Given that angle W has a measure of 105 degrees and angle Y has a measure of 75 degrees, we need to find the measure of angle X.

In a triangle, the sum of all angles is 180 degrees.

m∠X + m∠W + m∠Y = 180 degrees.

Substituting the given values:

m∠X + 105 degrees + 75 degrees = 180 degrees.

m∠X + 180 degrees = 180 degrees.

If we subtract 180 degrees from both sides, we get:

m∠X = 0 degrees.

However, none of the answer choices provided include 0 degrees as a possibility.

Therefore, based on the given information, we cannot determine the measure of angle X.
Joseph completely covered the floor of his square office with carpet. He used 148 ft2 of carpet. Which measurement is closest to the length of one side of Joseph’s office in feet?

11

27

12

74
To find the length of one side of Joseph's square office, we can find the square root of the area of the office, since the area of a square is equal to the square of its side length.

Taking the square root of 148 ft², we find:

√148 ≈ 12.166...

Rounded to the nearest whole number, the length of one side of Joseph's office is approximately 12 feet.

Among the given options, the measurement that is closest to 12 feet is 12. Therefore, the closest measurement to the length of one side of Joseph's office is 12 feet.
can you please explain it to me
Certainly! To find the length of one side of Joseph's square office, we need to use the given information that he used 148 ft^2 of carpet.

In a square, all four sides are equal in length. So, if we can find the length of one side, we can determine the length of all sides.

We know that the area of a square is found by squaring the length of one side. In this case, we want to find the length of one side, so we need to take the square root of the given area.

Taking the square root of 148 ft^2, we have:

√148 ≈ 12.166...

This means that the length of one side of Joseph's office is approximately 12.166 feet.

Since the length of a side cannot be fractional, we round the value to the nearest whole number. In this case, 12 is the closest whole number to 12.166.

Therefore, the closest measurement to the length of one side of Joseph's office in feet is 12.