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castortr0y [4]
3 years ago
11

Find the area of the shape.

Mathematics
2 answers:
tangare [24]3 years ago
8 0

Answer: 72

Step-by-step explanation: Here, we're asked to find the area of the given rectangular region.

In this type of problem, we want to break the rectangular region down into smaller rectangles, then add the areas of the smaller rectangles together to find the full area of the rectangular region.

Notice that we can form a smaller rectangle at the top right of the figure by simply adding a line so we have two separate rectangles.

Now, remember that the formula for the area of a rectangle is lw.

So the length of the rectangle at the top is 6 yards and the width of the rectangle is 3 yards so the area is (6 yd.)(3 yd.) or 18 square yards.

Now, we need to find the area of the bigger rectangle.

We are given that the width is 9 yards but what is the length?

We can see from the given horizontal lengths on the top of the figure that the length is 12 for the whole top which means that the bigger one must be 6.

So we have (6 yd.)(9 yd.) which is 54 square yards.

Now adding, 18 + 54 is 72.

So the area is 72 square yards.

goldenfox [79]3 years ago
3 0

Answer:

C) 72 square yards

Step-by-step explanation:

Split the shape into 2 rectangles so

the dimensions of the rectangles are 3 by 6 and 6 by 9 so

3(6)+6(9) so

18+54=

C) 72 square yards

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Answer:

18 combinations

Step-by-step explanation:

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1 feet = _____ inches A.2 inches B.12 inches C.1.2 inches D.1 inch​
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Juan has a mass of 50 kg. If he is running at a velocity of 2 m/s, how much kinetic energy does he have?
VLD [36.1K]

Answer:

  100 J

Step-by-step explanation:

Kinetic energy is jointly proportional to mass and the square of the velocity.

  KE = 1/2mv²

  KE = 1/2(50 kg)(2 m/s)² = 100 J

Juan has a kinetic energy of 100 joules.

6 0
2 years ago
A. Lin is using the diagram to prove the statement, "If a parallelogram has one
BigorU [14]

The congruence of the angles and triangles are proven as follows;

a. The composition angles of FGH are alternate interior angles to the composition angles of angle AHEF

b. The three sides of triangle ∆EHG are congruent to the three sides of triangle ∆GFE, therefore, triangles ∆EHG and ∆GFE are congruent by SSS congruency rule

<h3>What are congruent triangles?</h3>

The lengths of the three sides of triangles that are congruent.

a. The shape of quadrilateral EFGH = A parallelogram

The measure of angle HEF = 90°

Angle HEF = 90°

Angle HEF = Angle HED + Angle DEF

Angle HED is congruent to angle FGD (Alternate interior angles theorem)

Angle HED = angle FGD

Angle DEF is congruent to angle DGH (Alternate interior angles theorem)

Angle DEF = angle DGH

Angle FGH = Angle FGD + Angle DGH

Angle FGH = Angle HED + Angle DEF (Substitution property)

Angle FGH = Angle HEF (Transitive property)

Angle FGH = Angle HEF = 90°

Therefore, the statement that will help prove angle FGH is also a right is that angle FGH is the sum of angles FGD and angle DGH which are alternate interior angles to angles HED and DEF which makes up angle HEF, which is a right angle.

b. The two-column method can be used to prove that triangle EHG and triangle GFE are congruent as follows;

Statement. Reason

EF is congruent to HG. Opposite sides of a parallelogram are congruent

EH is congruent FG Opposite sides of a parallelogram are congruent

EG is congruent to EG Reflexive property of congruency

∆EHG is cong. to ∆GFE SSS, Side-Side-Side, congruency rule

Learn more about the triangle congruency rules here:

brainly.com/question/15338506

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4 0
9 months ago
Solve by combining equations <br> PLS HELP!<br> 3x - 2y = 12<br> -3x+8y= -6
andreyandreev [35.5K]

3x−2y=12;−3x+8y=−6

Step: Solve3x−2y=12for x:

3x−2y=12

3x−2y+2y=12+2y(Add 2y to both sides)

3x=2y+12

3x

3

=

2y+12

3

(Divide both sides by 3)

x=

2

3

y+4

Step: Substitute

2

3

y+4forxin−3x+8y=−6:

−3x+8y=−6

−3(

2

3

y+4)+8y=−6

6y−12=−6(Simplify both sides of the equation)

6y−12+12=−6+12(Add 12 to both sides)

6y=6

6y

6

=

6

6

(Divide both sides by 6)

y=1

Step: Substitute1foryinx=

2

3

y+4:

x=

2

3

y+4

x=

2

3

(1)+4

x=

14

3

(Simplify both sides of the equation)

Answer:

x=

14

3

and y=1

3 0
3 years ago
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