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Andrej [43]
2 years ago
8

The length of a rectangle is 2 centimeters longer than its width.

Mathematics
1 answer:
Nina [5.8K]2 years ago
6 0

Answer: 15

Step-by-step explanation:

Let the length of the width = w.

Then, the length of the length is w + 2.

The perimeter of a rectangle is 2*length + 2*width.

Therefore, 2*(w+2) + 2*w = 64

2w + 4 + 2w = 64

4w + 4 = 64

4w = 60

w = 15

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On a piece of paper, use a protractor to construct △ABC with m∠A=30° , m∠B=60° , and m∠C=90° .
pochemuha

Answer:

It's a right triangle.

Step-by-step explanation:

△ABC with m∠A=30° , m∠B=60° , and m∠C=90°

It's a right triangle.

6 0
3 years ago
TWO EASY QUESTIONS 8TH GRADE MATH
Sophie [7]
9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.

11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.

Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.

8x + 2 + 9x + 3 = 90

17x + 5 = 90

17x = 85

x = 5
3 0
3 years ago
If the difference of a number and four is doubled the result is 1/4 less than the number. find the number
sukhopar [10]
The formula is  (2)(n-4) = n-1/4

Mult both sides by 4: 

                         8n - 32 = 4n -1, or 4n = 31, or n=31/4.

If this is not what you expected, please ensure that you have copied down the original problem correctly.  What do you mean by "1/4 less?"

Let's try    (2)(n-4) = 1n-(1/4)n = (3/4)n.  Then,

2n-8 = (3/4)n, or (5/4)n = 8.  Mult. both sides by (4/5), we get:

n = (5/4)(8) = 10.  Is that what you were hoping for?

8 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Katena32 [7]

Answer:

(a)

5^{-3}=\frac{1}{125}

(b)

-5^{-3}=-\frac{1}{125}

(c)

(-5^{-3})^{-1}=-125

(d)

(-5^{-3})^{0}=1

Step-by-step explanation:

(a)

5^{-3}

we can use property of exponent

a^{-n}=\frac{1}{a^n}

we get

5^{-3}=\frac{1}{5^3}

5^{-3}=\frac{1}{5\times 5\times 5}

5^{-3}=\frac{1}{125}........Answer

(b)

-5^{-3}

we can use property of exponent

a^{-n}=\frac{1}{a^n}

we get

-5^{-3}=-\frac{1}{5^3}

-5^{-3}=-\frac{1}{5\times 5\times 5}

-5^{-3}=-\frac{1}{125}........Answer

(c)

(-5^{-3})^{-1}

we can use property of exponent

(a^{n})^m=a^{m\times n}

we get

(-5^{-3})^{-1}=(-5)^{-3\times -1}

(-5^{-3})^{-1}=(-5)^3

(-5^{-3})^{-1}=(-5)\times (-5)\times (-5)

(-5^{-3})^{-1}=-125........Answer

(d)

(-5^{-3})^{0}

we can use property of exponent

(a^{n})^m=a^{m\times n}

we get

(-5^{-3})^{0}=(-5)^{-3\times 0}

(-5^{-3})^{-1}=(-5)^0

we can use property

a^0=1

(-5^{-3})^{0}=1........Answer

4 0
3 years ago
Solve the following system of inequalities graphically on the set of axes below. State
tankabanditka [31]

Answer:

The answer is definitely C

Step-by-step explanation:

Following the system of inequalities will graph this solution best on the graph, it is the inequality represented in the graph.

ur wlcm :)

correct me if im wrong

brainliest please?

6 0
2 years ago
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