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aniked [119]
2 years ago
10

∠E and ∠F are vertical angles with m∠E=5x+10 and m∠F=7x−12 . What is the value of x?

Mathematics
1 answer:
In-s [12.5K]2 years ago
6 0
Vertical angles are equal...so set ur angles equal to each other and solve for x

5x + 10 = 7x - 12
12 + 10 = 7x - 5x
22 = 2x
22/2 = x
11 = x <==
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Mars2501 [29]
The true statemens are:


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All function have and independent variable (explained above).


A horizontal line is an example of a funcitional relationship (because given a value of x, you can always tell the value of y)



The other statements are false:

<span>The range of a function includes its domain is false.

Domain are the values that x can take and the range are the values that the function (y) can take. One is not included in the other.


A vertical  line is an example of a functional relationship is false, because you can not tell the value of y for any value of x. 


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<span>Each output value of a function can correspond to only one input value is false.  An output can be generated by more than one value of x. The horizontal line is an example of that: the same value of y (output) corresponde to any value of x.</span>

 



8 0
1 year ago
Read 3 more answers
a paint store has 35 gallons of paint in storage, 2/5 of which are for outdoor use. if each gallon cost $22, what is the total c
Likurg_2 [28]
$462 
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21 gallons x $22 = $462
3 0
2 years ago
A random sample of 50 units is drawn from a production process every half hour. the true fraction of nonconforming products manu
Naya [18.7K]

solution:

The probability mass function for binomial distribution is,

 

Where,

X=0,1,2,3,…..; q=1-p

find the probability that (p∧ ≤ 0.06) , substitute the values of sample units (n) , and the probability of nonconformities (p) in the probability mass function of binomial distribution.

Consider x   to be the number of non-conformities. It follows a binomial distribution with n   being 50 and p  being 0.03. That is,

binomial (50,0.02)

Also, the estimate of the true probability is,

p∧  = x/50

The probability mass function for binomial distribution is,

 

Where,

X=0,1,2,3,…..; q=1-p

The calculation is obtained as

P(p^ ≤ 0.06) = p(x/20 ≤ 0.06)

         = 50cx ₓ (0.03)x ₓ (1-0.03)50-x  

=    (50c0 ₓ (0.03)0 ₓ (1-0.03)50-0 + 50c1(0.03)1 ₓ (1-0.03)50-1 + 50c2 ₓ (0.03)2 ₓ (1-0.03)50-2 +50c3 ₓ      (0.03)3 ₓ (1- 0.03)50-3 )

=(   ₓ (0.03)0 ₓ (1-0.03)50-0 +  ₓ (0.03)1 ₓ (1-0.03)50-1 +   ₓ (0.03)2 ₓ (1-0.03)50-2   ₓ (0.03)3 ₓ (1-0.03)50-3 )



5 0
1 year ago
Plane STL and plane Z would intersect at
mina [271]
D NONE OF TGE ABOVE
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6 0
1 year ago
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A dealer sold 13 quarts containers and 11 pint containers of ice cream in one day. The number of gallons of ice cream he sold wa
sp2606 [1]

Answer:

4.625 gallons

Step-by-step explanation:

1. 11 pints plus 13 quarts is 18.5 quarts

2. 18.5 quarts is equal to 4.625 gallons

4 0
1 year ago
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