The angle of 1/4 of a circle is given by:
(1/4) * (360) = 90 degrees
We now look for the angle that results from dividing 1/4 of a circle into three equal parts.
We have then:
(1/3) * (90) = 30 degrees.
Answer:
the measure of each part is:
30 degrees
<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>
<h2>
Explanation:</h2>
In this problem, we have that Isabelle is using a square piece of cardboard to make a box without a lid. She cuts 2-inch squares from each corner and folds up the edges. The figure below shows this statement. The finished box has a volume (V) of 98 cubic inches, in other words:

When folding up, we get the box without lip shown in the second figure. So the volume would be:

Since te cardboard is square, then the side (s) is given by:

Therefore:
<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>
<h2>Learn more:</h2>
Volume of a box: brainly.com/question/10501080
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Answer:
64°
Step-by-step explanation:
Angles in a straight line add up to 180° so 180° - 116° = 64°
hope to help
Step-by-step explanation:
carry on learning
Answer:
The correct option is;
DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)
Step-by-step explanation:
Given that we have;
1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC
2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC
3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC
Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;
AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))
∴ (sin(m∠ADE)) = (sin(m∠ABC))
m∠ADE) = m∠ABC).