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3 years ago

Please help me solve

Mathematics

2 answers:

KIM [24]3 years ago

6 0

Answer:

(B) 18

Step-by-step explanation:

The angle x is 45 degrees. Since it is bisecting a 90 degree angle, the angle on the other side is 45 degrees.

90 - 45 = 45

Since AB is 3, DC is 3. Since the right triangle DC is 45-90-45, the other side, CE, will also be 3. Since CE is half of the side of the rectangle, multiply it by 2 to get 6. The sides of the rectangle are 3 and 6. Use the formula for area of a rectangle to solve.

A = lw

A = (6)(3)

A = 18

The answer is B.

arsen [322]3 years ago

4 0

Answer:

18 square centimeters

Step-by-step explanation:

Notice that if e is the midpoint of the side CB, and angle $\angle x = 45^o$ , then this rectangle is in fact two squares of side 3 cm put together. therefore, side CD has a length of 6 cm, and as a result, the area of the figure is given by the product base times height = 6 x 3 = 18 $cm^2$

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3 years ago

PLS HELP ASAP calculate the distance between the two points. (18, -24) & (87, 100)

GarryVolchara [31]

Answer:

<h3>The answer is 141.90 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(18, -24) & (87, 100)

The distance between them is

$d = \sqrt{ ({18 - 87})^{2} + ({ - 24 - 100})^{2} } \\ = \sqrt{ ( { - 69})^{2} + ( { - 124})^{2} } \\ = \sqrt{4761 + 15376} \\ = \sqrt{20137} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 141.90489773...$