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sdas [7]
3 years ago
11

Find the coordinates of the image of M(−1, 5) after the translation (x, y)→(x+3, y−2).

Mathematics
1 answer:
kirza4 [7]3 years ago
6 0
M’(2, 3)

Work:
x: -1 + 3 = 2
y: 5 - 2 = 3
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Triangle CDE is an isosceles triangle with angle d congruent to angle E if CD= 4x+9, DE= 7x-5, CE= 16x-27, find x and the measur
Montano1993 [528]
ANSWER

x = 3
CD= 21 \: units
DE= 16 \: units

CE= 21 \: units



EXPLANATION

It was given that ∆CDE is an isosceles triangle.

The length of the sides are given in terms of x as follows.

CD=4x+9


DE=7x-5


CE=16x-27



It was also given that, angle D is congruent to angle E.


This implies that, side CD and CE are equal.


Thus,

|CD|  =  |CE|
In terms of x, we have;

4x + 9 = 16x - 27


We group like terms to get,

16x - 4x = 9 + 27

12x = 36

Divide both sides by 12 to get,

x =  \frac{36}{12}

\therefore \: x = 3


The length of the sides are;

CD=4(3)+9 = 21 \: units

DE=7(3)-5 = 16 \: units


CE=16(3)-27 = 21 \: units
3 0
4 years ago
5 students want lemonade and 1 student wants iced tea. What is the ratio of the number of students who want iced tea to the numb
ANTONII [103]

Answer:

1:5 or you can write 1/5 or 1 to 5

Step-by-step explanation:

3 0
3 years ago
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Simplify. (x^3 +8 ) / (x+2) <br>show work
Zielflug [23.3K]

Answer:

3x2|9x+18|+8|9x+18|3x2|9x+18|+8|9x+18|

5 0
3 years ago
am i the only one that's confused? i don't get this and neither does my older sister! please tell me if u get it! :0
katovenus [111]

Answer:

I believe the answer is C. I'd have to work this out on paper to be certain, but from what i worked out mentally, i got C. lol

Step-by-step explanation:

3 0
3 years ago
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Here is a cuboid,
Dmitry_Shevchenko [17]

<em>Length = </em><em>80</em>

<em>Breadth = </em><em>30</em><em>  </em>

<em>Height = </em><em>30</em>

<em>Total surface area of a cuboid is= </em>

<em><u>2 ( lb + bh + hl )</u></em>

<em>Putting the values in the formula,</em>

<em>We get,</em>

<em>= 2</em><em> [</em><em> (80 x 30) + (30 x 30) + (30 x 80)</em><em>]</em>

<em>= 2 (2400 + 900 + 2400)</em>

<em>= </em><em><u>8100 cm²</u></em>

<em></em>

<em>THANK YOU!!</em>

<em>∝ </em><em>Sidhdi</em>

6 0
3 years ago
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