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2 years ago

Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin. Finish the rule for this dilation.

Mathematics

1 answer:

Vitek1552 [10]2 years ago

4 0

Abc is your answer

Step-by-step explanation:

you said ABC

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Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 mph faster than Charlene. They meet in

Thepotemich [5.8K]

Answer:

34 mph.

Step-by-step explanation:

Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.

Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.

Now we will use formula $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$ . Upon using our given information we will get two equation and two unknowns as:

$x+16=\frac{420-y}{5}...(1)$

$x=\frac{y}{5}...(2)$

Upon substituting $x=\frac{y}{5}$ in 1st equation we will get,

$\frac{y}{5}+16=\frac{420-y}{5}$

Upon multiplying both sides of our equation by 5 we will get,

$5(\frac{y}{5}+16)=420-y$

$5\times\frac{y}{5}+5\times 16=420-y$

$y+80=420-y$

$y+80+y=420-y+y$

$2y+80=420$

$2y=420-80$

$2y=340$

$y=\frac{340}{2}$

$y=170$

Upon substituting y=170 in 2nd equation we will get,

$x=\frac{170}{5}$

$x=34$

Therefore, Charlene's speed is 34 miles per hour.

6 0

2 years ago

Does the square root of a rational number have to come out as a rational number?

AlekseyPX

Answer:

no it does not have to

Step-by-step explanation:

4 0

2 years ago

46 3= what is the answer

Andrews [41]

If you mean 46 * 3 = 138
If you mean 46 + 3 = 49
If you mean 46 - 3 = 43
If you mean 46 ÷ 3 = 15.3

Hope it helped

5 0

2 years ago

What is the remainder when (x3 + 1) is divided by (x2 – x + 1)? x + 1 x 2 0

Furkat [3]

If I’m not wrong I think it’s x+1

8 0

2 years ago

A man walked steadily from 11.00am to 2.30pm at 5 kilometres per hour. how far did he walk

DerKrebs [107]

Taken time is from 11.00 am to 2.30 pm (14.30) = 14.30 - 11 = 3.30 hours

We know that D = S* T (D - distance, S - speed , T- time)

So, $D= \frac{5km}{h}*3.5h=\boxed {17.5 hours}$

5 0

2 years ago

Read 2 more answers