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Alex Ar [27]
2 years ago
15

Given that triangle LMN is similar to triangle GJH, what is the value of x?

Mathematics
1 answer:
inysia [295]2 years ago
4 0

Answer:

x = 53

Step-by-step explanation:

Similar means that the corresponding angles are congruent (the same) - basically what this means is that ∠L ≅ ∠G, ∠M ≅ ∠J, and ∠N ≅ ∠H.

Since we know that the angle measures in a triangle should add up to 180 and we know the measures of ∠L and ∠M already, we can do

180 =  67 + 60 + N

So, N = 180 - (67 + 60) = 180 - 127 = 53.

Since ∠N ≅ ∠H, ∠H = 53.

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If a denotes some​ event, what does upper a overbara ​denote? if ​p(a)equals=0.9930.993​, what is the value of ​p(upper a overba
masya89 [10]
P(A) = 0.993 is the probability of event A
    _
P(A) is the probability of not A (note that I am trying to place a bar over A. I hope you can see it, else it is because the editor did not show it as I intended)

Then, use the fact that the probability of A plus the probability not A is equal to 1:
                    _
=> P(A) + P(A) = 1
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=> P(A) = 1 - P(A) = 1 - 0.993 = 0.007

So, the answers are:
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1) P(A) = 0.07
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2) Yes, A is unlikely because its probability is very low.
5 0
3 years ago
3 (5 + 6)
ELEN [110]

Hi there!

Distributive property are two big words that basically just mean you need to distribute the 3 to the whole parentheses. This means you need to multiply 5 by 3 and also 6 by 3.

3 × 5 = 15

3 × 6 = 18


Now that you've distributed the 3 to the entire parentheses, you just need to add together both answers you got :

15 + 18 = 33


Your answer is: 33


There you go! I really hope this helped, if there's anything just let me know! :)

4 0
3 years ago
Please help!!!
Nonamiya [84]

Answer:

c. 2a^3x^4-3a^3x^3+a^4x^2

d. 63x^5y^3-30x^2y^4-7x^3y^2

Step-by-step explanation:

For this exercise you need to remember the following:

 1. The multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-

2. The Product of powers property, which states that:

(a^m)(a^n)=a^{(m+n)}

3. The Distributive property:

a(b\±c)=ab\±ac

Knowing that, you can solve the multiplication of the polynomials:

c. (-2ax^2+3ax-a^2)(-a^2x^2)=\\\\=(-2ax^2)(-a^2x^2)+(3ax)(-a^2x^2)+(-a^2)(-a^2x^2)=2a^3x^4-3a^3x^3+a^4x^2

d. (6.3x^3y-3y^2-0.7x)(10x^2y^2)=\\\\=(6.3x^3y)(10x^2y^2)+(-3y^2)(10x^2y^2)+(-0.7x)(10x^2y^2)=63x^5y^3-30x^2y^4-7x^3y^2

8 0
2 years ago
Victor has 60 dollars in his wallet he buys a basketball for 12.89 how much more money does he have left??
kvasek [131]
Victor has 47.11

\:  \:  \: 60.00 \: \\- 12.89 \\  -  -  -  -  \\  \:  \:  \:  \: 47.11
3 0
3 years ago
6*10^5 is how many times as large as 3*10^3
fenix001 [56]
Answer: 200 times larger


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2*100=200

The other answer was wrong because in order of operations (PEMDAS), exponents come before multiplication.
8 0
2 years ago
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