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Vlada [557]
2 years ago
8

Quadrilateral ABCD is a rectangle. If BDC = 7x + 1 and ADB=9x - 7, find BDC.

Mathematics
1 answer:
melomori [17]2 years ago
8 0

\huge\boxed{45^\circ}

See the attached diagram.

Together, angles BDC and ADB form a right angle, which is 90 degrees.

The angles are split straight down the middle, meaning they're equal to each other. This means each one is equal to half of 90 degrees, which is 45 degrees.

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Read 2 more answers
Mable has 185 dollars worth of apples. Each apple is worth more then 3 dollars but less then 10 dollars. The number has four let
velikii [3]

Answer:

The worth of each of Mable's apples is $5

Step-by-step explanation:

 Extracting the key information from the question:

***Mable has apples that are worth a combined 185 dollars.

*** One apple from Mable's apples worth more than three ($3) dollars but less than ten ($10) dollars.

***The cost of one apple is a number that has four letters.

*** That number (the cost) of one apple is also a prime number.

*** We are required to find or determine the worth of one of Mable's apples.

   Now, one of the clues given to us which we may use to figure out the cost or worth of one apple is that the apple is worth more than three dollars ($3) but worth less than ten dollars ($10). This means that each Mable's apple may worth $4 or $5 or $6 or $7 or $8 or $9. That is one of Mable's apples worth from $4 to $9

   Another clue to solving this puzzle is that the worth of one apple in dollars is a prime number. This implies that one of Mable's apples may worth either five dollars ($5) or seven dollars ($7).

   

  The next clue for unravelling this mystery is that all Mable's apples are worth a combined $185. This then means that the worth of each apple (the number) must be able to divide 185.

   Since $7 and $5 are the only two figures left standing, we will then try and see which one of them will be able to do divide the number "185".

 185/7  = 26 remainder 3

 185/5  = 37 remainder 0

 The final clue in the question is that the worth of each of Mable's apples is a figure/number that has only letters:

$7 SEVEN has = 5 letters

$5 FIVE has = 4 letters

 This now brings us to the conclusion that the worth of each of Mable's apples is five dollars ($5)  since it meets all the requirements and clues in the question.

6 0
3 years ago
Write an equation of the direct variation that includes the point (- 6, - 16)
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Answer:

idek

Step-by-step explanation:

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3 years ago
En ampliar o reducir una fotografía, obtenemos copias de la fotografía original, pero de medida diferente. Si la anchura del ori
antoniya [11.8K]

Answer:

La anchura será de:

6 cm

Step-by-step explanation:

El formato original corresponde al 100%

Si se reduce un 60% quiere decir que:

100 - 60 = 40%

la reducción queda al 40%

entonces, por regla de tres:

15cm es al 100%

A cm es al 40%

A = 15*40/100

A = 6cm

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3 years ago
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