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Free_Kalibri [48]
3 years ago
7

What is the value of X? Make sure to show all of your work!

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0
Since this is a equilateral triangle all angles are equal to each other. All angles in a triangle always add up to 180 degrees.

So you would set up your equation like so
3(7x - 3) = 180
The 3 outside the parenthesis resembles the 3 angles.
You equal the equation to 180 since all the angles in a triangle = 180
So distribute the 3
21x - 9 = 180
Add 9 to both sides
21x = 189
Divide 21 on both sides
x = 9
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Find a rational number between - 4 and 8 ​
svet-max [94.6K]

6 is correct for this questions answer

7 0
3 years ago
Using the discriminant, describe the nature of the roots for the equation <br> 49x^2 − 28x + 4 = 0.
scZoUnD [109]

Answer:

Put the equation in standard form by bringing the 4x + 1 to the left side.

7x2 - 4x - 1 = 0

We use the discriminant to determine the nature of the roots of a quadratic equation. The discriminant is the expression underneath the radical in the quadratic formula: b2 - 4ac.

b2 - 4ac In this case, a = 7, b = -4, and c = -1

(-4)2 - 4(7)(-1)

16 + 28 = 44

Now here are the rules for determining the nature of the roots:

(1) If the discriminant = 0, then there is one real root (this omits the ± from the quadratic formula, leaving only one possible solution)

(2) If the discriminant > 0, then there are two real roots (this keeps the ±, giving you two solutions)

(3) If the discriminant < 0, then there are two imaginary roots (this means there is a negative under the radical, making the solutions imaginary)

44 > 0, so there are two real roots

4 0
3 years ago
Rearrange the formula to make a the subject:<br> B = 1/2h(a+b)
Mkey [24]

Answer:

Step-by-step explanation:

B=2h(a+b) #the numerator goes to the other side, the denominator then just makes it B

B/2h=a+b

2h=a+b/B

2h-a=b/B

2h-a=b(1) #factorise

6 0
3 years ago
How many vertices does a triangular prism have? 4 5 6 9
Svetradugi [14.3K]
A triangular prism has 6 vertices. :)
8 0
3 years ago
Read 2 more answers
The management of a restaurant with locations all over the country has developed a new hamburger that researchers believe will s
Sliva [168]

Using sampling concepts, it is found that the best way to perform a randomized experiment with the goal of determining if this new hamburger will sell better than the hamburger that is currently sold is as follows:

Randomly select 40 restaurants, let each one decide if it wants to sell the new hamburger, and compare sales in those restaurants to sales in the restaurants that chose not to sell the new hamburger.

<h3>What is sampling?</h3>

It is is a common statistics practice, when we want to study something from a population, we find a sample of this population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

In this problem, a sample of randomly selected restaurants should be taken to sell the new hamburger, and then be compared with the ones who sell the old hamburger to see if sales increased, hence the correct option is:

Randomly select 40 restaurants, let each one decide if it wants to sell the new hamburger, and compare sales in those restaurants to sales in the restaurants that chose not to sell the new hamburger.

More can be learned about sampling concepts at brainly.com/question/25122507

3 0
2 years ago
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