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pashok25 [27]
3 years ago
7

Tell whether the angles are vertical or adjacent and solve for x. Solve 11 and 12 for 20 points and brainest.

Mathematics
1 answer:
stiv31 [10]3 years ago
5 0

Answer:

11) x = 45

12) x = 30

Step-by-step explanation:

11)

3x + x = 180

4x = 180

x = 45

12)

4x = 5x - 30

4x - 5x = -30

-x = -30

x = 30

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The perimeter of a rectangle is 54cm. The area of the same rectangle is 176 cm^2. What are the dimensions of the rectangle?
densk [106]

Given is rectangle with perimeter = 54 centimeters and area = 176 squared centimeters.

Let's consider the length of rectangle = L and width of rectangle = W.

We know the following formulas for rectangle :-

Perimeter = 2 x (L + W)

Area = L x W

So we have 2 x (L + W) = 54 and L x W = 176.

L + W = 27 and L x W = 176

We need to find two positive integers such that their sum is 27 and product is 176.

Using trial and error, we have two such positive integers such that 11 + 16 = 27 and 11 x 16 = 176.

So, the dimensions of rectangle would be 11cm x 16cm.

Hence, option A is correct i.e. 11 cm by 16 cm.

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3 years ago
Use 3.1 < sqrt 10 <3.2 to find the possible values of each expression. 2+sqrt 10
lilavasa [31]

The inequality which represents possible values of the expression 2+sqrt 10 by virtue of the given inequality; 3.1 < sqrt 10 < 3.2 as in the task content is; 5.1 < 2 + sqrt 10 < 5.2.

<h3>Which inequality correctly expresses the possible values of the expression; 2 + √10 as required in the task content?</h3>

It follows from the task content that the expression given is;

3.1 < sqrt 10 < 3.2

Since the given premises is an inequality, it follows that adding the same number to all parts of the inequality stills holds the inequality true.

Hence by adding 2 to all parts of the inequality, we have;

2 + 3.1 < 2 + sqrt 10 < 2 + 3.2

Therefore, we have;

5.1 < 2 + sqrt 10 < 5.2

Ultimately, 5.1 < 2 + sqrt 10 < 5.2 represent the possible values of the expression 2+sqrt 10 as given by the inequality 3.1 < sqrt 10 < 3.2.

Read more on inequalities;

brainly.com/question/24372553

#SPJ1

4 0
1 year ago
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nlexa [21]

Answer: z=8

Step-by-step explanation:

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Alex17521 [72]

Answer:

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Step-by-step explanation:

Given that 2/7 of his Salary is on loans

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3 years ago
What digit can be in the ones place of a number that has 5 as a factor?
ExtremeBDS [4]
I am 100% positive it is 0 and 5
8 0
4 years ago
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