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yawa3891 [41]
3 years ago
7

Sandra makes $55,000 and is getting annual raises of $2,500. Ellie makes $62,000 with annual raises of $2,000. How many years wi

ll take it take for Sandra and Ellie to make the same salary?
Mathematics
1 answer:
MAXImum [283]3 years ago
5 0

55,000+2,500x=62,000+2,000x

500x=7,000

x=14

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A triangle is to be dilated with the origin as the center of dilation and with a scale factor of 2. Which answer choice correctl
saveliy_v [14]

Answer:

All the coordinates are changed to

(x, y) ⇒ (2x, 2y)

Step-by-step explanation:

Given - A triangle is to be dilated with the origin as the center of dilation and with a scale factor of 2.

To find -  Which answer choice correctly maps this dilation algebraically?​

Proof -

Let ABC is a triangle where A, B, C are the vertices of the triangle respectively.

Now,

Let the coordinates be (x, y)

If a triangle is to be dilated with the origin as the center of dilation and with a scale factor of a , then the coordinated be changes as

(x, y) ⇒ (ax, ay)

Here given , a = 2

So, all the coordinates are changed to

(x, y) ⇒ (2x, 2y)

3 0
2 years ago
Divide 1-k^3 by k-1​
UNO [17]

Answer:

k 2 + k + 1

Step By Step:

Cancel the common factor.

Then.

k 2 + k +1 by 1

Gets you k2+k+1

7 0
3 years ago
Figure ABCD - Figure EFGH
Colt1911 [192]
<h3><u>Answer:</u></h3>
  • 30.5 units
<h3><u>Step-by-step explanation:</u></h3>

We know that:

  • <u>Trapezoid ABCD has one side that is 25 unit. </u>
  • <u>The other 3 sides (AB, BC, and CD) are 12 units. </u>
  • <u>EF = 6 units</u>
  • <u>EH = 12.5</u>
  • <u>Trapezoid ABCD is congruent to Trapezoid EFGH</u>

<em>If the 3 sides of the trapezoid ABCD are the same sides, then side EF, FG, GH must be of the same length because of congruence. The value of FG and GH must be the same length as EF. We can clearly see in the picture that EF is 6 units. Hence, EF is 6 units, FG is 6 units, and GH is 6 units. The work of the perimeter is shown below.</em>

<u>Work</u>

  • => 6(3) + 12.5
  • => 18 + 12.5
  • => <u>30.5 units</u>

Hence, the perimeter of EFGH is 30.5 units.

BrainiacUser1357

4 0
2 years ago
Find the value of 2.<br> 47<br> (3x + 2)
steposvetlana [31]

Answer: x = 15

Step-by-step explanation:

Vertical angles are equal so we can set 47 = 3x + 2

Now just solve the equation for x

47 = 3x + 2

Subtract 2 from each side

45 = 3x

Divide both sides by 3

15 = x

7 0
3 years ago
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joja [24]

Answer:

5'4" or 64 inches

Step-by-step explanation:

5 0
3 years ago
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