Answer:

Step-by-step explanation:
Required
The equation of the ellipse
This is calculated as:

Where:
---- height
--- width
So:



The line GH bisects The triangle FGI meaning it divides it into two equal parts <em>(that is the definition if bisection); </em>therefore, the angles FGH and HGI are equal:

Now let us add 2 to both sides gives

subtracting 4x from both sides gives


Hence, x = 11.
The measure of FGH is

(B)
The measure of HGI is

(C)
The measure of FGI is the sum of HGI and FGH:

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Since its to the tenth power and the exponent is negative all you have to do is move the decimal point two positions back and your new answer is 0.382
The volume of a cuboid toy chest is equal to their product of the length,
width, and height.
- The correct option for the toy chest she should purchase is; <u>Only toy chest A will provide the necessary storage space</u>.
Reasons:
The dimensions of the toy chest are;
Toy chest A;
Length = 5 feet
Width = 4 feet
Height = 2 feet
Toy chest B;
Length = 4 feet
Width = 2 feet
Height = 4 feet
Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³
Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³
The volume of the toy chest Mrs. Smith needs = 35 ft.³
The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³
The correct option is; <u>Only toy chest A will provide the necessary storage space</u>
<em>Possible question options obtained from a similar question found online are;</em>
<em>Either toy chest have the storage space needed</em>
<em>Neither has the storage space needed</em>
<em>Only toy chest A</em>
<em>Only toy chest B</em>
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Learn more about calculating volumes of various shapes here:
brainly.com/question/3789826