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MaRussiya [10]
2 years ago
15

To decompose a quadrilateral into two identical shapes, Clare drew a dashed line as shown in the diagram.

Mathematics
1 answer:
STALIN [3.7K]2 years ago
3 0

Answer:

  • 1. Figures are of same area
  • 2. Figures are of different shape

Step-by-step explanation:

<em>See attached</em>

The figure in the graph is trapezium

1..................................................

The two shapes have an area of

<u>Triangle</u>:

  • A = 1/2bh = 1/2*4*4 = 8 square units

<u>Rectangle:</u>

  • A = wl = 2*4 = 8 square units

2..................................................

The two partitions are not identical in shape as one of them is triangle and the other is rectangle

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A zookeeper is monitoring the population of birds. The flock needs to have exactly three times more females than males to thrive
KIM [24]

Answer:

The constraints are

0 < x\leq 20  and 0 < y\leq 60

Step-by-step explanation:

Let

x ----> represent the number of male birds

y ----> represent the number of female birds

we know that

The flock needs to have exactly three times more females than males to thrive

so

y=3x ----> equation A

The zoo only has room for a maximum of 20 male birds

so

0 < x\leq 20 ----> inequality B

we know that

The maximum number of male birds is 20

For x=20

substitute in the equation A

y=3(20)=60

so

The maximum number of female birds is 60

so

0 < y\leq 60 ----> inequality C

therefore

The constraints are

0 < x\leq 20  and 0 < y\leq 60

4 0
2 years ago
The line with the equation 4/5x +1/3y=1 is graphed one the xy-plane. What is the x-coordinate of the x-intercept of the line?
leva [86]

Answer:

x = 4/5

Step-by-step explanation:

The x-intercept looks like (x, 0); the coordinate 0 indicates that the point lies on the x-axis.  If we start with 4/5x + 1/3 y= 1 and let y = 0, we will get an equation for the x-intercept:

(4/5)x + (1/3)(0) =1

Then 4/5x = 1, and (5/4)(4/5)x = (1)(4/5).

Thus, x = 4/5, and the x-intercept is (4/5, 0).

4 0
2 years ago
A silicon chip is 14 nanometers thick. A nanometer is equal to 0.000000001 meter. Express the thickness of the chip using scient
oksano4ka [1.4K]

Answer:

1.4 × 10^-8

Step-by-step explanation:

The chip is 14  nanometers

14 * .000000001

.000000014

Move the decimal 8 places to the right, because we need 1 number in front of the decimal for scientific notation.  The exponent will be -8 because  we moved it 8 places to the right

1.4 × 10^-8

4 0
2 years ago
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If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH? 3 units 4 units 5 units 6 units
Nezavi [6.7K]
I think the points given here are plotted linearly: 

FGHI. in this case, we can tell that FG + GH + HI = FI. substituting to the expression devised, 2 units + GH + 1 unit = 7 units. This is equal to 3 units + GH = 7 units. GH is then equal to 4 units.

5 0
2 years ago
Read 2 more answers
Martin's car had 86,456 miles on it. Of that distance, Martin's wife drove 24,901 miles,
navik [9.2K]

Answer:

Martin drove 53,558 miles.

Step-by-step explanation:

If you add up the amount of miles his son and wife drove, you get 32,898. To get the answer, you would subtract that from the total number of miles to get 53,558.

3 0
2 years ago
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