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oksian1 [2.3K]
4 years ago
11

Find the value of x

Mathematics
1 answer:
baherus [9]4 years ago
7 0

Answer:

  x = 13

Step-by-step explanation:

The sum of angles in a quadrilateral is 360°, so you have ...

  75° + 6x° + 90° +9x° = 360°

  15x +165 = 360 . . . . . collect terms, divide by °

  x + 11 = 24 . . . . . . . . . divide by the coefficient of x

  x = 13 . . . . . . . . . . . . . subtract 11

_____

<em>Check</em>

6x° = 78°

9x° = 117°

75° + 78° +90° +117° = 360° . . . . as required.

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Step-by-step explanation:

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3 years ago
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What is the probability of randomly selecting a card from a standard 52 card deck and having the card be a face card or an even
Kobotan [32]
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3 years ago
16273
qaws [65]

Answer:

$146.625

Further explanation

Given:

At a factory, a mechanic earns $17.25 an hour.

The president of the company earns 6³/₄ times as much for each hour he works.

The janitor at the same company earns ³/₄ as much as the mechanic.

Question:

How much does the company pay for all three people employees' wages for one hour of work?

The Process:

Let us prepare a model for a mechanic earns $17.25 an hour.

Let us do multiplication on a fraction at first.

Then we make a model for the president of the company who earn 6³/₄ (six and three quarter) times as much for each hour the mechanic works. Recall that

Let's calculate how much the president of the company earns for each hour.

And we also calculate for the janitors who earn ³/₄ as much as the mechanic.

Finally, let's add up all earning to find out how much does the company pay for all three people employees' wages for one hour of work.

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Keywords: at a factory, a mechanic earns, $17.25 an hour, the president of the company, 6 3/4 times, each hour he works, the janitor, how much, pay for all, three people, employees'wages, model

Step-by-step explanation:

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3 0
3 years ago
Marcel made an error when he used the distributive property to solve the problem shown. Which sentence describes the error? In S
nordsb [41]

The picture with the complete question is attached below :

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In Step 2, 90 should be multiplied by the quantity 10 – 12, not by 10

Step-by-step explanation:

90 * x - 90 * 12 = 90(x - 12)

From the question, x = 10

Hence,

90(10 - 12)

(90* 10) - (90 * 12) - - - > correct evaluation

900 - 1080

= - 180

Hence, both values in the bracket, that is 10 and - 12 should be multiplied by 90. Not just 10 alone.

3 0
3 years ago
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Rom4ik [11]
Subsitute for s and do the arithmetic.
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3 years ago
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