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JulijaS [17]
2 years ago
15

Find the value of x in each case: Pls answer as fast as possible Thank You!!!!!!!

Mathematics
1 answer:
ycow [4]2 years ago
6 0

m\angle AEB+4x=180^o\to m\angle AEB=180^o-4x\\\\\angle DEB=2x+\angle AEB\ \text{and}\ \angle EBC=6x\ \text{are Alternate Interior Angles}\\\\\text{Alternate Interior Angles are congruent (have the same measure)}\\\\\text{Therefore we have the equation:}\\\\m\angle DEB=m\angle EBC\\\\2x+(180^o-4x)=6x\\\\2x+180^o-4x=6x\\\\(2x-4x)+180^o=6x\\\\-2x+180^o=6x\qquad|\text{add 2x to both sides}\\\\180^o=8x\qquad|\text{divide both sides by 8}\\\\22.5^o=x\to x=22.5^o

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Factor completely: <br> x^3 - x^2 - 6x
PSYCHO15rus [73]

Answer:

x(x-3)(x+2)

Step-by-step explanation:

1. Find the GCF (Greatest Common Factor)

GCF=x

2. Factor out the GCF and simplify.

x(x^{2} -x-6)

3. Factor x^{2} -x-6.

Which two numbers add up to -1 and multiply to -6?

<u>-3 and 2</u>

Rewrite the expression using the numbers above.

(x-3)(x+2)

4. Done!

x(x-3)(x+2)

4 0
2 years ago
A number is chosen at random from 1 to 25. Find the probability of selecting an odd number or multiples of 5. *
Ymorist [56]

Answer:

Odd number: 13/25 (52%)

Multiples of 5: 5/25 (20%)

Step-by-step explanation:

There are 13 odd numbers between 1 and 25 so you have a 13/25 chance which is 52% (13/25 = 0.52). There are 5 multiples of 2 between 1 and 25 so you have a 5/25 chance which is 20% (5/25 = 0.2).

8 0
3 years ago
An investigator wants to assess whether the mean m = the weight of passengers flying on small planes exceeds the FAA guideline o
stira [4]

Answer:

H_{0}: \mu= 185 and H_{a}: \mu > 185

Step-by-step explanation:

The null hypothesis H_{0} states that a population parameter (such as the mean, the standard deviation, and so on) is equal to a hypothesized value. We can write the null hypothesis in the form H_{0}: parameter = value

In this context, the investigator's null hypothesis should be that the average total weight is no different than the reported value by the FAA. We can write it in this form H_{0}: \mu= 185.

The alternative hypothesis H_{a} states that a population parameter is smaller, greater, or different than the hypothesized value in the null hypothesis. We can write the alternative hypothesis in one of three forms

H_{a}: parameter > value\\H_{a}: parameter < value\\H_{a}: parameter \neq value

The investigator wants to know if the average weight of passengers flying on small planes exceeds the FAA guideline of the average total weight of 185 pounds. He should use H_{a}: \mu > 185 as his alternative hypothesis.

7 0
3 years ago
Lori has nine hours to spend this weekend working on a dozen art projects. If she splits her time evenly how long will she work
zloy xaker [14]

Answer:

4 hours and 30 min every day

Step-by-step explanation:

2 days in weekend so 4 hour and 30 times two is 9 hours your welcome

5 0
3 years ago
The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain?
mina [271]
** x + 5 = 7 x = 2 ** x + 5 = 9 x = 4 {2,4}
4 0
3 years ago
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