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Marrrta [24]
2 years ago
10

Figure ABCD is a parallelogram. Two trapezoids are created using line segment XY such that AX ≅ CY.

Mathematics
2 answers:
Aleonysh [2.5K]2 years ago
7 0

we know that

In a parallelogram opposite sides are parallel and congruent

so

AB=DC

AD=BC

in this problem

AX ≅ CY

then

BX ≅DY

therefore

Area of the trapezoid AXYD is equal to the area of the trapezoid XBCY and the sum of the areas of both trapezoids is equal to the area of parallelogram ABCD

<u>the answer is the option</u>

Each area is equal to half of the area of ABCD

Allushta [10]2 years ago
3 0
<span>Each area is equal to half of the area of ABCD.
</span>
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John Birks "Dizzy" Gillespie (1917-1993) was a trumpeter and was extremely influential in the development of bebop. Also an acco
Nikitich [7]

Answer:

  • <em><u>"Ambassador of Jazz"</u></em>

Explanation:

<em>John Birks "Dizzy" Gillespie</em> (1917 – 1993) is recognized as an extraordinary trumpet player who had tremendous influence in the modern jazz and the development of the new music style called bebop.

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As you can find in the internet, the nickname of "Ambassador of Jazz" was given to him in 1956, during a State Department tour of the Middle East that he succesfully organized.

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3 0
1 year ago
Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1
TiliK225 [7]

Answer:

1. Western erodes 2 ft/yr; Dunes builds up at 5 ft/yr

2. Sometime in 2006

3. Solve simultaneous equations

Step-by-step explanation:

1. Erosion patterns

(a) Western Beach

In 15 yr, Western Beach erodes from 100 ft to 70 ft.

The rate of erosion is 30 ft/15 yr = 2 ft/yr.

(b) Dunes Beach

In 15 yr, Dunes Beach builds up from 20 ft to 95 ft.

The rate of buildup is 75 ft/15 yr = 5 ft/yr.

2. Beaches with equal width

From the table, it appears that the beaches will have the same width sometime in year 11 (2006).

3. Best approximation

The graph below also shows that it happens part way through year 11 (2006).

We could get an even better solution by calculating the equations of the two lines and solving the simultaneous equations.

5 0
2 years ago
At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings. After the cups are fi
timofeeve [1]
In this question, every cups will be filled with 4 ounces yogurt. That mean, the lowest possible of the cups weight would be 4 ounces. After that the customer can the topping without exceeding 6 ounces of total weight. Since it total weight, that means from the 6 ounces there should be 4 ounces of yogurt. Then the maximum weight is 6 ounces
Minimum weight is 4 ounces and maximum weight is 6 ounces, so the answer would be 4,5,6 or any number between 4-6
7 0
2 years ago
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Drew earns money washing cars for his neighbors on the weekends. Drew charges a set rate for each car he washes.
statuscvo [17]

Answer:

30

Step-by-step explanation:

5 0
2 years ago
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Joey wants to build a rectangular garden. He plans to use a side of a river for one side of the garden, he will not place fencin
jonny [76]

We let x and y be the measures of the sides of the rectangular garden. The perimeter subtracted with the other side should be equal to 92.

<span>                                                       2x + y = 92</span>

The value of y in terms of x is equal to,

<span>                                            y = 92 – 2x</span>

The area is the product of the two sides,

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Substituting,

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Solving for the derivative and equating to zero,

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Therefore, the area of the garden is,

<span>                                                            A = 23(92 – 2(23)) = 1058 yard<span>2</span></span>

4 0
2 years ago
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