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o-na [289]
3 years ago
12

10. angle GHI is an isosceles triangle with GI HI. IF GH is three more than x, HI is 17 less than four

Mathematics
1 answer:
svp [43]3 years ago
7 0

Answer:

GH = 17 units

GI = 39 units

HI = 39 units

Step-by-step explanation:

We are given the following information in the question:

Triangle GHI is an isosceles triangle.

GI = HI

The measures of side are:

GH = 3 + x\\HI = 4x-17\\GI = 6x - 45

It is given that

GI = HI

4x - 17 = 6x -45\\6x - 4x = 45-17\\2x = 28\\x = 14

Thus, the measures of three sides are:

GH = 3 + x=14+3 = 17\\HI = 4x-17 = 4(14)-17 = 39\\GI = 6x - 45=6(14) - 45 = 39

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A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meter
Mandarinka [93]

Answer:1.32 s

Step-by-step explanation:

Given

The initial height of ball H=2 m

Initial velocity u=5 m/s

Height of ball at any instant is given by

H=-4.9t^2+5t+2

The ball will hit the ground when h=0

-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}

3 0
2 years ago
Assume the number of pounds of chocolate consumed in a year is equally likely between 20 and 100 pounds. what is the probability
kramer
Because the probability is uniform (equally likely) between 20 and 100 pounds, the probability distribution is uniform between 80 and 100 pounds, with the value 1/(100-20) = 1/80 chocolates/pound.

Let x =  random variable that represents pounds of chocolate consumed.
Therefore
P(x < 60) = (60 - 20)*(1/80) = 1/2.

Answer: The probability is 1/2.
4 0
3 years ago
Please help I will mark Brainly
Bas_tet [7]

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8 0
3 years ago
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What is the solution set for 3x&gt;6?
zalisa [80]
Isolate the x

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3x/3 > 6/3

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8 0
3 years ago
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Ms. Thomas took her family and friend to the movies. There were a total of 16 people. Children tickets cost $6 and adult tickets
Korolek [52]

Answer:

11 adults

Step-by-step explanation:

First, set up a system of equations:

Let x = number of children and y = number of adults

There is a total of 16 people, so x+y = 16. This is your first equation.

Each child ticket costs $6, so 6x = cost of children's tickets based on the number of children present (x)

Each adult ticket costs $9, so 9y = cost of adult's tickets based on the number of adults present (y)

The total cost of tickets is $129, so 6x+9y = 129. This is your second equation.

Your system of equations is now this:

 x +   y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

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You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

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Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

5 0
3 years ago
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