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3 years ago

If a dilation is applied to a triangle, then the image must be _____.

Mathematics

2 answers:

Xelga [282]3 years ago

7 0

Answer:

If a dilation is applied to a triangle, then the image must be similar.

Step-by-step explanation:

We have been given an incomplete sentence. We are supposed to fill in the given blank.

Sentence:

If a dilation is applied to a triangle, then the image must be _____.

Since we know that after dilating a figure by a scale factor, the resulting image will be either bigger or smaller than the original figure depending on the scale factor.

If the scale factor is greater than one, so resulting figure will be bigger than the original figure.

If the scale factor is less than one, so resulting figure will be smaller than the original figure.

Since all the angles of a triangle add up-to 180 degrees, so the measure of angles of the resulting figure will be same as the original triangle.

Since the corresponding sides of pre-image and image are proportional, so both triangles will be similar not congruent.

also please mark me as brailest

netineya [11]3 years ago

4 0

Answer:

a triangle that is rotated about a given point.

Step-by-step explanation:

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The possible values of x are given by x+8=<6.<br><br>The greatest possible value of 7x is_____

kozerog [31]

Answer:

The possible values of x is given by $x\leq -2$ and they include: -2, -3, -4, -5, -6 and so on

The greatest possible value of 7x is $-14$

Step-by-step explanation:

We are given the equation: x + 8 <= 6

Let collect the like terms:

$x + 8 \leq 6\\x\leq 6 -8\\x \leq -2$

Therefore, x <= -2 and the possible values include: -2, -3, -4, -5, -6 and so on

To find the greatest possible value of 7x is when x = -2.

$7x = 7 * -2\\7x = -14\\$ .

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3 years ago

Change2800cm squared into litres

Fofino [41]

Answer:

You cannot do this because 2800 cm squared is area and liters is volume. however, if you mean 2800 cm cubed, then the answer is 2.8 liters.

Step-by-step explanation:

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4 years ago

Need help ASAP!!!!!!!!!!!!

eimsori [14]

Answer:

8 small tables

Step-by-step explanation:

they told you they have 5 large tables that seat 10 guests and 98 guests are coming. You need to subtract 50 from 98 because after you multiple how many guests can sit at each large table by how many large tables they have it equals 50 so 98-50=48 then you need to divide 48 by six because each small table sits six people so 48/6=8 so you need 8 small tables.

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3 years ago

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likoan [24]

Answer:

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3 years ago

If f(x) = 2x6 + 3x5 – 1, then what is the remainder when f(x) is divided by<br> x + 1?

Alchen [17]

<h3>Answer: -2</h3>

===============================================

Explanation:

We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).

Comparing x+1 to x-k shows that k = -1

It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.

Plug this k value into the function

f(x) = 2x^6 + 3x^5 - 1

f(-1) = 2(-1)^2 + 3(-1)^5 - 1

f(-1) = 2(1) + 3(-1) - 1

f(-1) = 2 - 3 - 1

f(-1) = -1 - 1

f(-1) =-2

The remainder is -2

We can confirm this through synthetic division or polynomial long division.

5 0

3 years ago