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iren [92.7K]
2 years ago
8

Find the value of x using properties of parallel lines. answers: A) 1 B) 8 C) 5 D) 3.5

Mathematics
2 answers:
pashok25 [27]2 years ago
7 0

Answer:

1

Step-by-step explanation:

ANEK [815]2 years ago
7 0

Answer:

B. x=8

Step-by-step explanation:

The 2 angles are consecutive interior angles, and therefore they are supplementary. This means that they add to 180 degrees.

(12x+8)+(8x+12)=180

Combine like terms. Add all the terms with a variable, then the terms without a variable.

(12x+8x)+(8+12)=180

20x+20=180

Now, solve for x by isolating x. Perform the inverse operation to both sides.

20 is being added to 20x. The inverse of addition is subtraction. Subtract 20 from both sides.

20x+20=180-20

20x=180-20

20x=160

x is being multiplied by 20. The inverse of multiplication is division. Divide both sides by 20.

20x/20=160/20

x=160/20

x=8

x is equal to 8, and B is the correct answer.

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The circumference of a standard baseball is about 9in. About how many square inches of horsehide are required to cover 100 balls
Marta_Voda [28]
This is the concept of area of solid materials, we are required to calculate the total area of horsehide that is required to cover 100 balls with each having a circumference of 9 in.
The area of hide required will be given by:
area=(area of each ball)*(total number of balls)
area of each ball is given by:
SA=4πr^2
given that the circumference is 9in, we are required to find the radius of the ball
Circumference, c=2πr
thus;
9=2πr
r=9/(2π)
r=1.4 in
Therefore the surface area will be:
SA=4π*1.4^2=24.6 in^2
Therefore the area of horsehide required to cover 100 balls will be:
Area=24.6*100=2,460 in^2.
5 0
3 years ago
Which of the following estimates at a 95% confidence level most likely comes form a small sample?
KonstantinChe [14]

OptionAStep-by-step explanation:95% confidence interval is obtained using the following formulaCOnfidence interval lower bound = mean - critical value * sigma/sq rt nand upper bound = mean + critical value*sigma/sq rt nThus margin of error = critical value*sigma/rt nvaries indirectly as n provided others are remaining the same.Hence lower sample indicates higher margin of errorOut of 4 options given we find that 1 option has maximum margin of error as 21%Hence option. A is most likely coming from a small sample.

6 0
2 years ago
Which graph best represents the solution set to this system of inequalities?
Tomtit [17]

Answer:

(3/2, -1/2)

Step-by-step explanation:

add the 2 inequalities together.

you get 2X<3 so x<3/2. plug X back in and solve for y and you get y= -1/2

7 0
2 years ago
Chad is eating a 50-gram chocolate bar which contains 30% cocoa. How many grams of cocoa are in the chocolate bar?
Allushta [10]

Answer: 15 grams

If he had 100 grams of candy bar, then 30% of that is 30 grams (since 30/100 = 30%). Cut this in half and we end up with 30/2 = 15.

Another way to find the answer is to multiply 50 and 0.30 which is the decimal form of 30%. So we have 50*0.30 = 15 which is the same answer.

8 0
3 years ago
NEED HELP ASAP TAKING TEST-On average, a person’s body temperature should be approximately 98.6°F. A doctor would like to test t
alexgriva [62]

Answer:

D I think,

Step-by-step explanation:

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3 years ago
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