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Sladkaya [172]
3 years ago
14

Triangle DEF is translated 3 units up to form triangle D'E'F'and 5 units to the left to form triangle D''E'' ''F'. The coordinat

es of vertex F in triangle DEF are
(2, -4)
What are the coordinates of F''
Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Answer:

(7,-2)

Step-by-step explanation:

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Solve the equation ​
UNO [17]

Answer:

x = 10

Step-by-step explanation:

2x/3 + 1 = 7x/15 + 3

<em><u>(times everything in the equation by 3 to get rid of the first fraction)</u></em>

2x + 3 = 21x/15 + 9

<em><u>(times everything in the equation by 15 to get rid of the second fraction)</u></em>

30x+ 45 = 21x + 135

<em><u>(subtract 21x from 30x; subtract 45 from 135)</u></em>

9x = 90

<em><u>(divide 90 by 9)</u></em>

x = 10

<h2>Another solution:</h2>

2x/3 + 1 = 7x/15 + 3

<u><em>(find the LCM of 3 and 15 = 15)</em></u>

<u><em>(multiply everything in the equation by 15, then simplify)</em></u>

10x + 15 = 7x + 45

<u><em>(subtract 7x from 10x; subtract 15 from 45)</em></u>

3x = 30

<em><u>(divide 30 by 3)</u></em>

x = 10

4 0
3 years ago
Belinda will earn $46,000 her first year working as an interior designer with annual raises of 10%. What are her total earning a
Fed [463]
For this case we have an equation of the form:
 y = A * (b) ^ t
 Where,
 A: initial gain
 b: growth rate
 t: time
 Substituting values we have:
 y = 46000 * (1.10) ^ t
 For the year 7 we have:
 y = 46000 * (1.10) ^ 7
 y = 89640.9866
 Answer:
 
her total earning at the end of 7 years are:
 
y = 89640.9866 $
7 0
4 years ago
A rectangular sandbox has a width of 5 feet the sandbox is 5 times as long as it is wide
gavmur [86]
You did not ask a question
I will solve for the length and the area and the perimiter

if the width is 5ft and the length is 5 times as long as it is wide then
W=5 and L=5W
subsitute 5 for W
L=5(5)
L=25

length=25ft

the perimeter=2(L+W)=2(25+5)=2(30)=60ft

the area=LW=(5ft)(25ft)=125ft²
4 0
3 years ago
Read 2 more answers
A rectangle has an area of x square units. The rectangle is dilated to create a new rectangle with an area of 9x square units. D
Alika [10]
The reactangle has an area of x.

So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b. 

So that means the side lengths are <u />a and b. And ab = x (will be using this right next).

And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:

(y\times a)\times (y\times b)=9x
y^2ab=9x
y^2x=9x
y=3

y can not equal to -3, because the length of a side of any polygon can never be negative.

So the dilation is 3.

And so if the dimension is 5 by 8.

Then the area is 5 \times 8=40

And so then x=40

And then after the dilation, it would be 9x=9(40) = 360

We could check it another way too. Since we said the scale factor is 3, then:

( 5 \times 3) \times (8 \times 3) = 15 \times 24 = 360

So basically 15 by 24 is the new dimensions :)

6 0
3 years ago
Solve:<br><br> 2/7 + 1/3 <br><br> A:3/7 <br><br> B:3/21<br><br> C:13/21
dexar [7]
The correct answer is A
4 0
3 years ago
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