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aliina [53]
3 years ago
11

A rectangular sheet of paper is folded at the corner like the image. Find the value of x. What’s the answer and how do you solve

?

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
7 0
X = 66°

The area folded over is a right triangle, and its void is a right triangle as well.  We have one angle marked 33° and a right angle in the bottom left.  This leaves us 180-(33+90) = 180-123 = 57°.

The folded over triangle has the same angle measurements.

We have two angles to the left of x, which form a straight angle with x.  Straight angles have a sum of 180°.  The angles that form the straight angle with x both have a measure of 57°.  This gives us:

180-(57+57) = 180-114 = 66°
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Can someone give me the answers and step by step instructions please??
professor190 [17]

Answer:

-1,4,-7,10,...  neither

192,24,3,\frac{3}{8},...  geometric progression

-25,-18,-11,-4,...  arithmetic progression

Step-by-step explanation:

Given:

sequences: -1,4,-7,10,...

192,24,3,\frac{3}{8},...

-25,-18,-11,-4,...

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For -1,4,-7,10,...:

4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)

Hence,the given sequence does not form an arithmetic progression.

\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}

Hence,the given sequence does not form a geometric progression.

So, -1,4,-7,10,... is neither an arithmetic progression nor a geometric progression.

For  192,24,3,\frac{3}{8},... :

\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For -25,-18,-11,-4,... :

-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

3 0
3 years ago
Factors and common factors of 24,64,88
babunello [35]
24- 1,2,3,4,6,8,12,24
64-1,2,4,8,16,32,64
88-1,2,4,8,11,22,44,88

Here are all the factors.^^
The common factors are 1,2,3,4,6
Hope this helps!
8 0
3 years ago
What is the perimeter of a rectangle with a length of 23 mm and a width of 26mm
NISA [10]

Answer:98mm

Step-by-step explanation:

You add the length and width together and then multiply by 2

4 0
3 years ago
Need help will give brainist ​
ikadub [295]
Photomath i use it for my math all the time it gives you the option for how you wanna solve it and shows you how to solve it
3 0
3 years ago
Read 2 more answers
What is the exact solution of cos (17pi/6)?
kolbaska11 [484]
<span>The exact solution of cos (17</span>π<span>/6) is as follows:

First change the angle into degrees.

17(</span>π/6) (180°/π) = 510°

Then we calculate the cosine of the angle above and it as follows:

cos 510° = -(√3)/2

Hope this answers the question. Have a nice day.
4 0
3 years ago
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