MATHEMATICS HIGH SCHOOL

∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38.

What is the value of x?

Answers

Answer 1
Answer: As they are vertical angles, their magnitude will be equal.
8x+8 = 2x+38
8x-2x = 38-8
6x = 30
x = 5

So, Your Final Answer would be 5

Hope this helps!
Answer 2
Answer:

Your Final Answer would be 5

Hope this helps!

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Kevin, Conner, and John each walk several miles per day as part of a fitness program. Kevin walks 3 miles less than Conner, and John walks 2 miles more than Conner does. Over 3 days the difference between the number John and Kevin walk is equal to one half the number of miles that Conner walks. How many miles does each person walk each day?

The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?y = -1/5 (x – 2)(x + 3)
y = -1/3(x – 2)(x + 3)
y = -1/2 (x + 2)(x – 3)
y = 1/4 (x + 2)(x – 3)

Answers

The right answer for the question that is being asked and shown above is that: "y = -1/3(x – 2)(x + 3)." The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. the equation can be used to model the image of the lens is y = -1/3(x – 2)(x + 3)

Answer:

y = - 1/2 (x + 2)(x – 3)  is the right answer

Step-by-step explanation:

Find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4. im i n t e a r s pLEASE

Answers

The Perimeter: of the rectangular garden that has a width of 4x−6 and a length of 2x+4 is 2(2x - 7) + 2(3*2 + 4x).

What is perimeter?

Perimeter is the sum of length of the sides used to made the given figure.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

WE need to find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4.

Area = (2x - 7) * (3*2 + 4x)

Area = (2x - 7) * (6 + 4x)

Area =  8x - 42

The Perimeter: of the rectangular garden that has a width of 4x−6 and a length of 2x+4 is 2(2x - 7) + 2(3*2 + 4x).

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Answer:

Perimeter: 2(2x - 7) + 2(3*2 + 4x)

Step-by-step explanation:

Area: (2x - 7) * (3*2 + 4x)

         (2x - 7) * (6 + 4x)

                 8x-42

Perimeter: 2(2x - 7) + 2(3*2 + 4x)

What is the probability of rolling a 6-sided die and getting a 1 or a prime number?

Answers

The probability of rolling a 6-sided die and getting a 1 or a prime number is 0.66 or 66%.

What is the probability?

The probability is defined as the ratio of number of favourable outcomes and the the total number of possible outcome.

Assuming the die is numbered 1 to 6.

To answer the question, we first need to know many prime numbers can be represented on the die.  What are the prime numbers equal to 6 or lower?

We have 2, 3 and 5.  (since 4 and 6 are not prime numbers).  So we have 3 prime numbers, plus the number 1... so there are 4 possibilities valid for rolling a 1 or a prime number: 1,2,3 and 5.

There 4 possibilities out of 6 total possible outcomes, the probability of rolling a 6-sided die and getting a 1 or a prime number is;

\rm Probability=(4)/(6)\n\n Probability=(2)/(3)\n\n Probability=0.66

Hence, the probability of rolling a 6-sided die and getting a 1 or a prime number is 0.66 or 66%.

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4/6 is the probability, is this what you needed?

Determine whether each expression is meaningful as  a real number  yes or no?   -√9

Answers

Yes\ -\sqrt9\ is\ real\ number\n\n-\sqrt9=-3\ is\ integer\ number\n\n-√(a)\in\mathbb{R}\ for\ any\ a\geq0

You shoot an arrow set a target. The parabolic path of the arrow passes through the points shown in table.X. Y
30. 6
60. 7
100. 4
A. Find a quadratic function in standard form that models the path of the arrow. Then graph the function. Use quadratic regression for this step. The three points satisfy a quadratic function of form y= ax^2 +box +c

Answers

900a+30b+c=6....(1)

3600a+60b+c=7...(2)

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(2)-(1)

2700a+30b=1.....(4)

(3)-(1)

9100a+70b=-2...(5)

 solving (4) and (5) then putting a, b into (1)

a=-13/8400, b=29/168, c=31/14

 

The graph is like a parabola with upward dome, it's head at upside and two legs downwards.

 

How do you work out 20% of £2.20

Answers

100%=1
20%=0.2%
0.2*2.20=0.44.
20% Is the same as 0.2

Therefore, 0.2 times £2.20 = £0.44
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