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4 years ago

Which transformation rule maps triangle ABC onto triangle DEF ?

Mathematics

1 answer:

Darina [25.2K]4 years ago

4 0

The x-coordinate of D is 7 greater than that of A.

The y-coordinate of D is 3 less than that of A.

The appropriate choice for the description of the mapping is

... (x+7, y−3)

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What is 3(x-5)-14=2(x-7)+2

Evgen [1.6K]

Answer: x = 7

Step-by-step explanation:

To solve the equation,

First step, open the bracket

3(x-5)-14=2(x-7)+2

3x -15 -14 = 2x -14 +2

Then, add the like terms

3x - 29 = 2x -16

Transpose the values at the right hand side to the left hand side

3x - 2x = -16 + 29

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4 years ago

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Step-by-step explanation:

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3 years ago

Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every

Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

$A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}$

For machine B:

$B = \frac{100 bolts}{20 s}= 5 \frac{bolts}{s}$

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

$A+B=(3+5)\frac{bolts}{s}=8\frac{bolts}{s}$

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

$t = \frac{bolts}{ProductionRate}= \frac{200 bolts}{8 \frac{bolts}{s} }$

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

$t = \frac{200}{8} s = 25 s$

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

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4 years ago

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Which transformation rule maps ​ triangle ABC ​ onto triangle DEF ?

Which transformation rule maps triangle ABC onto triangle DEF ?