What is the answer to this question?
1 answer:
Answer:
A.3. x = 72° y = 90°
Step-by-step explanation:
The sum of the interior angles in a polygon is (n-2)*180, where n is the number of angles. In this diagram, we have:
Hexagon n=6): (6-2)*180° = 720°
Pentagon (n=5): (5-2)*180° = 540°
Triangle (n=3): (3-2)*180° = 180°
Square (n=4): (4-2)*180° = 360°
In this case, all are either regular or equilateral, so the angles will all be the same within each polygon.
Hexagon: (720°/6) = 120°
Pentagon: (540°/5) = 108°
Triangle = 60°
Square = 90°
Refer to the attached diagram for the calculations.
By adding up the angles we know that are adjacent to x and y, and setting the total to 360°, we can calculate the missing angles x and y.
x = 72°
y = 90°
I started the problem for B3, but am not certain how to find the angles for the isosceles triangles without more information.
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Answer:
The length of the rectangle is 9 inches.
The height of the rectangle is 11 inches.
Step-by-step explanation:
Given : The volume of a rectangular solid can be written as V=LWH, where L is the length of the solid, W is the width, and H is the height. A box of cereal has a width of 2 inches. It’s height is 2 inches longer than it’s length. If the volume of the box is 198 cubic inches.
To find : What are the length and height of the box ?
Solution :
The width of the box is L inches
The width of the box is W=2 inches
The height is 2 inches longer than it’s length i.e H=L+2
The volume of a rectangular solid is
Reject L=-11 as dimension cannot be negative.
The length of the rectangle is 9 inches.
The height of the rectangle is 11 inches.
According to Figure that is shown below, the correct answer for this problem is:
<span>B. They are alternate interior angles, so angle 3 also measures 130°.
</span>The same happens with 7 and 11. This is an obtuse angle, that is, this kind of angles measures more than 90° but less than 180°.
<span>B. They are alternate interior angles, so angle 3 also measures 130°.
</span>The same happens with 7 and 11. This is an obtuse angle, that is, this kind of angles measures more than 90° but less than 180°.