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nirvana33 [79]
2 years ago
10

180= 90+30+x? what is the value of x? make sure you give good reasoning

Mathematics
2 answers:
tiny-mole [99]2 years ago
4 0

Answer:

ok there we go,

180 = 90 + 30 + x

180 = 120 + x

x = 180-120

x = 60 is the value of x

levacccp [35]2 years ago
3 0
180=110 + x
-110. -110
70 = x
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What is the value of X?
bearhunter [10]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

Let's first establish that the shape is a triangle meaning that the following formula is applicable as displayed below:

Angle sum of a triangle = 180°

As well as this, the shape is an equilateral triangle meaning that each angle of the triangle is equivalent in value. Also, the following formula is also applicable as displayed below:

Each angle of an equilateral triangle = the same value

Therefore:

Each angle of an equilateral triangle = angle sum of a triangle ÷ no. of angles in a triangle = 180° ÷ 3 = 60°

Based on this, the following is applicable:

2x - 4 = 60°

2x = 60 + 4

2x = 64

x = 64 / 2

x = 32°

ANSWER:

Therefore, the answer is:

The value of ( x ) is 32°


Please mark as brainliest if you found this helpful! :)
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8 0
3 years ago
Determine whether the following series converge or diverge
Mars2501 [29]
An alternating series \sum\limits_n(-1)^na_n converges if |(-1)^na_n|=|a_n| is monotonic and a_n\to0 as n\to\infty. Here a_n=\dfrac1{\ln(n+1)}.

Let f(x)=\ln(x+1). Then f'(x)=\dfrac1{x+1}, which is positive for all x>-1, so \ln(x+1) is monotonically increasing for x>-1. This would mean \dfrac1{\ln(x+1)} must be a monotonically decreasing sequence over the same interval, and so must a_n.

Because a_n is monotonically increasing, but will still always be positive, it follows that a_n\to0 as n\to\infty.

So, \sum\limits_n(-1)^na_n converges.
5 0
3 years ago
Triangle ABC is similar to triangle CDE. Both are right triangles. Which statements about the two triangles must be true? Choose
Eddi Din [679]
The question ask to choose among the choices that states the truth about the triangle ABC and triangle CDE which is they are similar. The statement that tells the truth is letter C. Triangle ABC is congruent to triangle CDW and also D. Side AC is congruent it side CE. I hope this will help 
5 0
3 years ago
A right triangle has side lengths 4 units, 5 units, and x units what is the difference between the difference values of x?
irina [24]

Use the Pythagorean theorem.

If x is a hypotenuse, then we have:

x^2=4^2+5^2\\\\x^2=16+25\\\\x^2=41\to x=\sqrt{41}

If x is a leg, then we have:

x^2+4^2=5^2\\\\x^2+16=25\ \ \ \ |-16\\\\x^2=9\to x=\sqrt9\to x=3

Answer: \sqrt{41}-3

6 0
3 years ago
Which two-dimensional shapes are needed to build the pentagonal prism shown below?
Allushta [10]

Answer:

Option C

Step-by-step explanation:

2 pentagons and 5 rectangles are needed to build this pentagonal prism!

4 0
3 years ago
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