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2 years ago

HELP ME PLEASE What is the value of z?

Mathematics

2 answers:

nataly862011 [7]2 years ago

8 0

Answer:

z = 23

Step-by-step explanation:

The angles in a triangle add up to 180°.

So, 62° + 95° + z = 180°.

Subtract 62 and 95 on both sides.

62 + 95 + z - 62 - 95 = 180 - 62 - 95

z = 23

Hope this helps! Feel free to ask any questions.

dybincka [34]2 years ago

7 0

Answer:23

Step-by-step explanation:

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F(x)= (x+1)/2

xeze [42]

9514 1404 393

Answer:

g(f(x)) = x . . . so the functions are inverses

Step-by-step explanation:

Two functions f and g are inverses of each other if ...

g(f(x)) = x or f(g(x)) = x

We are asked to evaluate g(f(x)). That will be x if the functions are inverses.

g(f(x)) = g((x+1)/2) = 2((x +1)/2) -1 = (x +1) -1

g(f(x)) = x . . . . the functions are inverses

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2 years ago

Penny reads 13 pages in 1/2 hour. What is the unit rate for pages per hour? For hours per page? How many hours per page

horsena [70]

Answer:

13 pages : 1/2 hour Multiply both sides by 2

26 pages : 1 hour ------>> 26 pages/hr

Flip over 26 pages/hr ----->>> hr / 26 pages = 1 hr / 26 pages

Split up the fraction: (1/26) hr / page

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2 years ago

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Given the parent functions f(x) = log10 x and g(x) = 3x − 1, what is f(x) • g(x)?

oksano4ka [1.4K]

We are given with two functions f(x) = log10 x and g(x) = 3x − 1 and is asked for the product of the two functions expressed as f(x) • g(x). The answer then is simply the product of the two functions, that is log x * (3x - 1). log 10 x is equal to log x.

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3 years ago

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What is the area, in square feet, of the trapezoid below?

PtichkaEL [24]

Answer: " 94. 6 ft² ".
_____________________

<u>Step-by-step explanation</u>:

The formula for the area of a trapezoid:
______________________
A = (1/2) * (b1 + b2) * (perpendicular height, "h" ) ;

in which:
______________________
"A = area (in units of ft²) "

"b1 = length of (base one) = 7.7 ft (from diagram) ;

"b2 = length of (base two—the other base) = 14.3 ft. ;
"h = height (perpendicular) = 8.6 ft.
_______________________

To solve for the Area, "A" ; we plug in the known values:
_______________________
A = (1/2) * (b1 + b2) * (perpendicular height, "h" );

= (1/2) * (7.7 ft + 14.3 ft) * (8.6 ft) ;

= (1/2) * (22 ft.) * (8.6 ft) ;

= (11 ft.) * (8.6 ft.) ;

= (11) * (8.6) * (ft.) * (ft.) ;

= (11) * (8.6) * ft² ;

A = " 94. 6 ft² ".

_______________________
Hope this is helpful to you!
Best wishes!
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8 0

2 years ago

Missing number in the series 9, ____, 6561, 43046721 is: 81 25 62 31 18 9. one number is 2 more than 3 times another. their sum

Nadusha1986 [10]

Alright, lets get started.

Missing number fom the series : 9, ..... , 6561, 43046721

43046721 is square of its previous number 6561, means

$6561^2 = 43046721$

It means the missing number will be square of its previous number

Means $9^2 = 81$ , so missing number is 81. : Answer

Next : one number is 2 more than 3 times another. their sum is 22. find the numbers.

Suppose one number is x and second number is y

As per given equation, $x = 3y + 2$ ......equation (1)

Their sum is 22 means, $x+y = 22$ .......equation (2)

Putting the value of x from equation1 into equation 2

$3y + 2 + y = 22$

$4y + 2 = 22$

Subtracting 2 in both sides

$4y + 2 - 2 = 22 - 2$

$4y = 20$

$y = 5$

$x = 22 - y = 22 - 5 = 17$

Means numbers are 17 and 5. : Answer

Next : the missing number in the series 1, 4, 27,____, 3125 is

1 could be written as 1

4 could be written as $2^2$

27 could be written as $3^3$

So , next number would be $4^4$

$4^4 = 256$

Next one is $5^5 = 3125$

So, the missing number is 256 : Answer

Next : the next number in the series 3, 4, 6, 7, 9, 10 is

After 3,4 (5) is mising, 6, 7 (8) is missing, 9, 10 (11) will be missing

So, next number will be 12. : Answer

Next : a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant?

Between 2 plants, the distance is = $3 * (2-1) = 3$

Between 3 plants, the distance is = $3 * (3-1) = 6$

So, between 23 plants, the distance is = $3 * (23-1) = 3 * 22 = 66$

hene the distance between first and last plant woule be 66 feet. : Answer

7 0

2 years ago