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givi [52]
2 years ago
14

A square has an area of 49in^2. If the same amount is added to the length and removed from the width, the resulting rectangle ha

s an area of 45in^2. Find the dimensions of the rectangle Round your answer to the nearest tenth, when appropriate
Mathematics
1 answer:
Gala2k [10]2 years ago
4 0
The square is 7 by 7.
Then x inches are added to one side and subtracted from the other.
(7-x)*(7+x) = 45
x = 2
--> 5 by 9
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230% in the simplest form is 2.3

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3 years ago
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If AC is parallel to DE, find X
UNO [17]

Answer: x = 50

Concept:

Here, we need to know the idea of alternative interior angles and the angle sum theorem.

<u>Alternative interior angles</u> are angles that are formed inside the two parallel lines, and the values are equal.

The <u>angle sum theorem</u> implies that the sum of interior angles of a triangle is 180°

If you are still confused, please refer to the attachment below or let me know.

Step-by-step explanation:

<u>Given information:</u>

AC ║ DE

∠ABC = 85°

∠A = 135°

<u>Find the value of ∠BAC</u>

∠A + ∠BAC = 180° (Supplementary angle)

(135°) + ∠BAC = 180°

∠BAC = 45°

<u>Find the value of ∠BCA</u>

∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)

(85°) + (45°) + ∠BCA = 180°

∠BCA = 50°

<u>Find the value of x (∠EBC)</u>

∠EBC ≅ ∠BCA (Alternative interior angles)

Since, ∠BCA = 50°

Therefore, ∠EBC = 50°

\Large\boxed{x=50}

Hope this helps!! :)

Please let me know if you have any questions

8 0
1 year ago
Which of the following is equivalent to the expression:
Alecsey [184]
<span>Selection A is correct</span>
4 0
3 years ago
The cost to ride a ferris wheel is $2.00 per person. The ferris a wheel has a capacity of
irakobra [83]

Answer:

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In this case, we have a function M(p) = $2*p

This function represents the amount of money collected depending on the number of people who ride on the ferris whell.

Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).

And we also know that the maximum capacity of the ferris is 64 people.

Then:

p ≤ 64

And we also should add the restriction:

0 ≤ p ≤ 64

(Because p can't be smaller than zero)

Such that p should also be an integer, then, the domain is:

D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}

7 0
3 years ago
Can someone help me please
MrMuchimi

Answer:

is it from a textbook

Step-by-step explanation:

7 0
2 years ago
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