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Kazeer [188]
3 years ago
8

A square is removed from the right hand corner of a square board. What is the area of the remaining board in square feet?

Mathematics
1 answer:
Mama L [17]3 years ago
3 0
<h2>Answer:</h2>

The area of the remaining board in square feet is:

                             108 square feet.

<h2>Step-by-step explanation:</h2>

The remaining area of board=

Area of the whole board-Area of square which is removed.

i.e.

Area of remaining board= Area of square of side length 12 feet-Area of square with side length 6 feet.

We know that the area of square with side length s units is given by: s² square units

Hence, we get:

Area of remaining board= (12)²-(6)²

i.e.

Area of remaining board= 144-36

i.e.

Area of remaining board= 108 square feet.

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Answer:

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Answer:

Supplement to ∠ABC: ∠DAB acts as a possible supplement

Step-by-step explanation:

There are two approaches to this problem:

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2. As this shape is a quadrilateral, we can tell that two adjacent angles are supplementary to one another, and thus can be identified as the supplement to ∠ABC

For the simplicity, lets take the second method into consideration. We see that ∠ABC is adjacent to the two angles - ∠BCD, ∠BAD. These angles can be rewritten as such: ∠DCB, ∠DAB. And, as we can see from the options, ∠DAB is one of them that may act as a supplement. Shall we check?

The m∠ABC is 110° (degrees) so that it's claimed supplement, ∠DAB should be 70° as to satisfy the first condition of adding to 180°. And, we can see from the diagram that 40° + 30° = 70° so that both "approaches" are met!

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Analyze The Diagram Below And Answer The Question That Follows (15x+10) (8x+1) What is the value of x A 5 B 8 C 10 D 15​
Anettt [7]

<u>Given</u>:

The measure of angle EFG is m\angle EFG=(8x+1)^{\circ}

The measure of arc GE is m\widehat{(GE})=(15+10)^{\circ}

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the inscribed angle theorem.

Thus, we have;

\angle EFG=\frac{1}{2}(\widehat{GE})

Substituting the values, we have,

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