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docker41 [41]
3 years ago
6

The angles are supplementary. Write and solve an equation to find the value of x. xº 40°

Mathematics
1 answer:
Aleks [24]3 years ago
6 0

Answer:

x+40 = 180

x = 140

Step-by-step explanation:

Supplementary angles add to 180

x+40 = 180

Subtract 40 from each side

x+40-40 =180-40

x = 140

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What is the area of a circle with a radius of 9 cm? (Express your answer using π.)
jekas [21]
Area of a circle= <span>π * r^2
<span>π*9^2
</span>π*81= 81<span>π
</span>Your answer is A.</span>
4 0
3 years ago
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The sum of a number and twice its reciprocal is 3. What are the numbers?
qwelly [4]

Let no be x

Acc to ques

X + 2(1/x) = 3

X + 2/x = 3

X^2 + 2 = 3x

X^2 - 3x + 2 = 0

X^2 - x - 2x + 2 = 0

X (x-1) - 2 (x-1) = 0

(x-2) (x-1) = 0

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If this answer was helpful then please mark it as the brianliest

3 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
An item in a set is called a(n)
Jet001 [13]

Answer:

An item in a set is called an element.

Step-by-step explanation:

I hope this helps.

3 0
3 years ago
Write an equation in slope-intercept form for the line that has a slope of -4/5 and passes through (5, 10)
garik1379 [7]
Let m = slope = -4/5
P(x,y) = P(5,10)

Slope-intercept form for the equation of a line:
y=mx+c

Plug m= -4/5 into the slope-intercept formula
y = -4/5x + c

Plug P(5,10) into point-slope formula
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10 = -4/5(5) + c
10 = -4 + c
substract -4 from both sides,
10 - (-4) = -4 - (-4) + c
14 = c

So, the equation is y = -4/5x + 14
3 0
3 years ago
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