(2 points)

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
What is the length of the square tile in inches? Is the tile smaller or larger than a one foot by one foot tile? Response area

9 answers

To answer the question, we can provide the following responses:

  1. Length of the square tile in inches: 12 inches (if the tile is one foot by one foot)
  2. Is the tile smaller or larger than a one foot by one foot tile?: Smaller (if it is below one foot)

Please select and insert these responses accordingly.

Which of these measurements has three significant digits?(1 point)
Responses

134 meters
134 meters

56.09 inches
56.09 inches

0.52 centimeters
0.52 centimeters

8009 miles

The measurement that has three significant digits is:

56.09 inches

The other measurements have either more or fewer significant digits.

(1 point)
Responses
in the triangle below the m<1 =64* and m<2=33*, what is the m<4
83
83

97
97

116
116

147

To find \( m<4 \) in the triangle, we can use the fact that the sum of the angles in a triangle is always \( 180^\circ \).

Given:

  • \( m<1 = 64^\circ \)
  • \( m<2 = 33^\circ \)

We can calculate \( m<3 \) (which is \( m<4 \) in this case) as follows:

\[ m<4 = 180^\circ - (m<1 + m<2) \]

\[ m<4 = 180^\circ - (64^\circ + 33^\circ) \]

\[ m<4 = 180^\circ - 97^\circ \]

\[ m<4 = 83^\circ \]

So, \( m<4 \) is 83.

Can the side lengths of a triangle be 3, 6 and 9? (1 point)
Responses

yes
yes

no

The side lengths of a triangle cannot be 3, 6, and 9.

This is because of the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side.

Here, if we check the side lengths:

  1. \(3 + 6 > 9\) is false,
  2. \(3 + 9 > 6\) is true,
  3. \(6 + 9 > 3\) is true.

Since \(3 + 6\) is not greater than \(9\), these lengths cannot form a triangle.

So, the correct response is no.

Find the value of x.

How many degrees are in a right angle? You can set the equation to equal 7x - 5 + x + 3 = 90

(1 point)
x =

To find the value of \( x \) in the equation \( 7x - 5 + x + 3 = 90 \), we can simplify and solve the equation as follows:

  1. Combine like terms on the left side: \[ 7x + x - 5 + 3 = 90 \implies 8x - 2 = 90 \]

  2. Add 2 to both sides: \[ 8x - 2 + 2 = 90 + 2 \implies 8x = 92 \]

  3. Divide both sides by 8: \[ x = \frac{92}{8} \implies x = 11.5 \]

Therefore, the value of \( x \) is 11.5.