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sattari [20]
3 years ago
15

A square is inscribed in an isosceles right triangle. Length of the leg equals to 2 in. as shown on the figure. Find the perimet

er of the square.

Mathematics
1 answer:
algol133 years ago
8 0

Answer:

The perimeter of the square is 4\ in

Step-by-step explanation:

Let

x----> the length side of the square

we know that

In an isosceles right triangle the measures of the internal angles are 45°-90°-45°

so

the horizontal distance is equal to the vertical distance

2=x+x

x=1\ in

The perimeter of the square is

P=4b

we have

b=1\ in

substitute

P=4(1)=4\ in

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Three-fourths of the employees at a bookstore came to a staff meeting. Less than 24 employees were at the meeting. The inequalit
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Answer:

The correct option is 4.

Step-by-step explanation:

It is given that the three-fourths of the employees at a bookstore came to a staff meeting. Less than 24 employees were at the meeting.

Let the total number employees be e.

Three fourth of the total employees is \frac{3}{4}e, the total number of employees at the meeting were less than 24.

\frac{3}{4}e

Multiply 4 both sides.

\frac{3}{4}e\times 4

3e

Divide both sides by 3.

e

Therefore the value of e is less than 32.

In a number line as we approach towards left the the value of integers decreases.

Since the value of e is less than 32, therefore the solution graph is from negative infinity to 32.

Since 32 is not included in the solution set, therefore there is an open circle on 32.

Option 4 is correct.

3 0
3 years ago
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What is the equation in slope-intercept form of the line passing through (-2,0) and (2,8)
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Y=2x+4 is your answer
5 0
3 years ago
A number cube is rolled 14 times and the results are recorded in the table.
Arlecino [84]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Find the area of this parallelogram.<br><br> 8.9 cm<br> 7.1 cm<br> 11.4 cm
defon
<h3>Answer: 80.94 square cm</h3>

==================================================

Work Shown:

Area of parallelogram = base*height

Area of parallelogram = 11.4*7.1

Area of parallelogram = 80.94 square cm

-------------

notes:

  • The base and height always form a 90 degree angle (as shown by the small square marker).
  • The side length of 8.9 cm is never used.
  • We can write "square cm" as "cm^2" or \text{ cm}^2
3 0
3 years ago
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Gary made 5 baskets than Susan this season bill made 3 less then twice as many baskets as Susan. Together, all three made 42 bas
Nezavi [6.7K]

Answer:Gary made 15 baskets.

Susan made 10 baskets.

Bill made 17 baskets.

Step-by-step explanation:

Let x represent the number of baskets that Gary made.

Let y represent the number of baskets that Susan made.

Let z represent the number of baskets that Bill made.

Gary made 5 baskets than Susan this season. This means that

x = y + 5

Bill made 3 less than twice as many baskets as Susan. This means that

z = 2y - 3

Together, all three made 42 baskets. This means that

x + y + z = 42 - - - - - - - - - - 1

Substituting x = y + 5 and z = 2y - 3 into equation 1, it becomes

y + 5 + y + 2y - 3 = 42

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x = 15

z = 2y - 3 = 2 × 10 - 3

z = 20 - 3 = 17

3 0
3 years ago
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