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DedPeter [7]
3 years ago
13

I need help with #8. I need to use the quadratic formula. I have a calculator that is programmed for the quadratic formula so al

l I need are the a, b, and c values. for this problem, I am required to show any equations used to solve for the variable. hope you can help me, thanks!!​

Mathematics
1 answer:
GuDViN [60]3 years ago
8 0

Answer:

  x = 14

Step-by-step explanation:

Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.

The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:

  138 = (376 -23x) +(x^2 -8x)

Subtracting 138 and collecting terms we have ...

  x^2 -31x +238 = 0

For your calculator, a=1, b=-31, c=238.

__

<em>Additional comment</em>

You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.

For x=14, the marked angles are A = 84°, C = 54°.

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The ratio of the measures of the three angles is 2:6:7. Find the measure of each angle of the triangle.
Tpy6a [65]
Answer: C, because I’m assuming you meant 84°.
Explanation: 2+6+7 is equal to 15. The three angles of a triangle will always add up to 180, so you need to divide 180 by 15, which is 12. Then, multiply each number (2, 6, and 7) by 12 to get your answer, which is 24, 72, and 84 :)
5 0
3 years ago
If m, p, and t are distinct positive prime numbers, then (m^3)(p)(t) has how many different positive factors greater than 1?
harina [27]

Answer:

  d.  15

Step-by-step explanation:

List the exponents of each of the prime factors. Here, they are 3, 1, 1.

Add 1 to each of these values and form the product of these sums:

  (4)(2)(2) = 16

This is the number of divisors of the number. Since 1 is included in this count, 15 of the divisors are greater than 1.

3 0
3 years ago
If x-1/x=5, find the value of x^3-1/x^3
Alexxx [7]
65 is the answer. Solve the first equation and then plug in.

7 0
3 years ago
85% of the students in Yvan’s school walk to school. If 816 students walk to school, how many students are in the school?
storchak [24]
<h2>Hello There today we will solve your problem</h2>

\huge\red{\mid{\underline{\overline{\textbf{QUESTION}}}\mid}}

<em>85% of the students in Yvan’s school walk to school. If 816 students walk to school, how many students are in the school?</em>

<em />

<em>Response-</em>

Since we are using percents we can make an equation out of this question

\frac{85}{100}=\frac{816}{x}

\frac{85}{100} is the way we write percents in math as a fraction

and \frac{816}{x} is the part and whole you gave us

\frac{85}{100}=\frac{816}{x} cross multiply

85x=81600\\divide\\x=960students are in the school

\huge\blue{\mid{\fbox{\tt{ANSWER}}\mid}}

  • 960 students at Y'vans school
6 0
2 years ago
A marketing research company desires to know the mean consumption of meat per week among males over age 50. A sample of 217 male
guajiro [1.7K]

Answer: (3.3, 3.5)

Step-by-step explanation:

The formula to calculate the confidence interval is given by :-

\overline{x}\pm z^* \dfrac{\sigma}{\sqrt{n}}

, where \overline{x} = sample mean.

z* = critical value.

\sigma = Population standard deviation.

n= Sample size.

As per given , we have

\overline{x}=3.4

\sigma=0.5

n= 217

By using z-table , the critical value for 95% confidence level : z* = 1.96

Now, the  95% confidence interval for the mean consumption of meat among males over age 50 will be :

3.4\pm (1.96) \dfrac{0.5}{\sqrt{217}}

3.4\pm (1.96) \dfrac{0.5}{14.73091986}

3.4\pm (1.96) 0.0339422

3.4\pm 0.066526712\approx3.4\pm 0.1=(3.4-0.1,\ 3.4+0.1)=(3.3,\ 3.5)

Hence, the 95% confidence interval for the mean consumption of meat among males over age 50 =(3.3, 3.5)

4 0
3 years ago
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