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sasho [114]
4 years ago
14

How would I solve for X?

Mathematics
1 answer:
Scilla [17]4 years ago
6 0
This might get a little complicated...

In a quadrilateral, opposite angles are equal to 180 degrees. This means that the green angles are equal to 180 and the red angles are equal to 180 (See the picture below).
By knowing this, we find that angle Q = 114.

Now we need to find some arc lengths. Since angle Q is an inscribed angle, we can say that arc NML = angleQ * 2. So the measure of arc NML is 228.

This is the total arc length, including the arc that has a length of 118. We need to find the length of arc ML, so we can subtract 118 from our total arc length of 228. This gets us that arc ML = 110.

We now notice that the angle NMQ (which has x) is an inscribed angle, and its corresponding arc is MLQ (which measures 160). Since angle NMQ is half of arc MLQ, we can do the following equation:

NMQ = 1/2(MLQ)
27x-1 = 1/2(160)
Simplified is:
27x-1=80
Add one to each side to get:
27x=81
Divide by 7 to get the long awaited answer of 3
x=3

:)



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Using long division, what is the quotient of this expression?<br> X^4+4x^3-5x^2+x-3/x^2+x-3
Paladinen [302]

Answer:

Using long division method the answer is B

Step-by-step explanation:

x²+3x-5+(15x-18)/x²+x-3

7 0
3 years ago
A certain plant runs three shifts per day. Of all the items produced by the plant, 50% of them are produced on the first shift,
Snezhnost [94]

Answer:

0.2941 = 29.41% probability that it was manufactured during the first shift.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: Manufactured during the first shift.

Probability of a defective item:

1% of 50%(first shift)

2% of 30%(second shift)

3% of 20%(third shift).

So

P(A) = 0.01*0.5 + 0.02*0.3 + 0.03*0.2 = 0.017

Probability of a defective item being produced on the first shift:

1% of 50%. So

P(A \cap B) = 0.01*0.5 = 0.005

What is the probability that it was manufactured during the first shift?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.005}{0.017} = 0.2941

0.2941 = 29.41% probability that it was manufactured during the first shift.

6 0
3 years ago
PLSSS HELP IMMA FAIL
Nutka1998 [239]

Answer:

x = 10

Step-by-step explanation:

X = 10 because if you look at the 28 and 14, 14 is half of 28 so the ratio is 1:2 which would also work for the 20 so the answer is 10

4 0
3 years ago
Which algebraic expression is equivalent to the expression below?
Anna007 [38]

Answer:

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
The lowest common denominator for the fractions 8/64 and 8/32 is ?
FrozenT [24]
The lowest common denominator (LCM) is the lowest whole number divisible by both denominators without a remainder.

EASY LCM:
multiply the two denominators, then divide the total by the greatest common factor (GCF) between the two denominators.

=(64*32)/32
=2,048/32
=64

-OR-

DETAILED METHOD
STEP 1:
Find prime factors of denominators.
8/64
64: 2 x 2 x 2 x 2 x 2 x 2

8/32
32: 2 x 2 x 2 x 2 x 2

STEP 2:
If factors occur more than once, multiply them the greater number of times they occur.

2 x 2 x 2 x 2 x 2 x 2= 64

ANSWER: The LCM of 8/64 and 8/32 is 64.

Hope this helps! :)
8 0
3 years ago
Read 2 more answers
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