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Contact [7]
2 years ago
12

Given m||n, find the value of x. (4x-9)° (3x+29)°​

Mathematics
1 answer:
anzhelika [568]2 years ago
5 0

Answer:

38°

Step-by-step explanation:

4x-9=3x+29 ------- because corresponding angles are equal

x=38°

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Let f(x)=7x^2-8. find f(a^2)
strojnjashka [21]

Answer:

\large\boxed{f(a^2)=7a^4-8}

Step-by-step explanation:

f(x)=7x^2-8\\\\f(a^2)\to \text{put}\ x=a^2\ \text{to the equation of the function}\ f:\\\\f(a^2)=7(a^2)^2-8\qquad\text{use}\ (a^n)^m=a^{nm}\\\\f(a^2)=7a^{2\cdot2}-8\\\\f(a^2)=7a^4-8

6 0
3 years ago
3. In ΔABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, in inches?
Nonamiya [84]

Answer:

2< AC<8

Step-by-step explanation:

For a triangle to exits sum of two sides must always be greater than the the third side

⇒ AC<  AB+ BC =5+3=8 in

⇒AC<8 in

Also, the  difference of the two sides must be smaller than the length of third side

⇒ AC> | AB-BC| = |5-3| =2

AC> 2 in

therefore,  we can say  2< AC<8. Hence, AC can takes 3,4,5,6 values

4 0
3 years ago
Rewrite the function by completing the square. h(x)= 4 x^{2} -36 x +81
noname [10]

Answer:

4(x-4.5)^2

Step-by-step explanation:

h(x)=4x^2-36x+81

=4(x^2-9x)+81

=4(x^2-9x+20.25)-(4)(20.25)+81

=4(x-4.5)^2

6 0
3 years ago
Solve for x. Round your answer to 2 decimal places.
babymother [125]

Using the law of cosine:

Cosine(angle) = Adjacent leg / Hypotenuse

You are given the angle, and the adjacent leg and need to solve for X, which is the hypotenuse.

Using the formula above you have:

Cosine(58) = 17 / x

Solve for x by dividing 17 by cos(58)

x = 17 / cos(58)

x = 32.08

7 0
3 years ago
A researcher was interested in comparing the salaries of female and male employees of a particular company. independent random s
Aneli [31]

Answer:

Based on  given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.

Step-by-step explanation:

Sample 1 for female

Sample 2 for male

Confidence = 90%

Difference in mean weekly salary of all female employees and the mean weekly salary of all male employees  = µ₁- µ₂

So based on above given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.

5 0
3 years ago
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