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Natali5045456 [20]
3 years ago
14

Suppose m <6= 147º. Find <1 and m<3

Mathematics
1 answer:
ale4655 [162]3 years ago
8 0

Answer:

∠ 1 = ∠ 3 = 33°

Step-by-step explanation:

∠ 3 and ∠ 6 are same- side interior angles and are supplementary , thus

∠ 3 + ∠ 6 = 180° , that is

∠ 3 + 147° = 180° ( subtract 147° from both sides )

∠ 3 = 33°

∠ 1 and ∠ 3 are vertical angles and congruent, thus

∠ 1 = ∠ 3 = 33°

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Lamonte has 50 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth
MatroZZZ [7]

The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Let x represent the length and y represent the width. Hence:

x + 2y = 50

x = 50 - 2y

Also:

xy = 288

(50 - 2y)y = 288

y = 9; and y = 16

x = 32; and x = 18

The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.

Find out more on equation at: brainly.com/question/2972832

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6 0
1 year ago
From 1st principle find the derivative of log (ax+b)
OLga [1]

Answer:

Step-by-step explanation:

The parent function here is y = log x, where 10 is the base.

The derivative of y = log x is dy/dx = (ln x) / ln 10.

The derivative of y = log (ax+b) is found in that manner, but additional steps are necessary:  differentiate the argument ax + b:

The derivative with respect to 10 of log (ax + b) is:

dy/dx = [ 1 / (ax + b) ] / [ ln 10 ] *a, where a is the derivative of (ax + b).

Alternatively, we could express the answer as

dy/dx = [ a / (ax + b) ] / [ ln 10 ]

5 0
3 years ago
Write 11760825 in word form
igor_vitrenko [27]
11 million seventy six thousand eight hundred twenty five
4 0
3 years ago
Ya idk how to do this plz help explain if you can
Svet_ta [14]

Answer:

  92 attendees had activity cards

Step-by-step explanation:

Let x be the number of students with activity cards. Then 130-x is the number without, and the total revenue is ...

  7x +10(130 -x) = 1024

  7x +1300 -10x = 1024 . . . . eliminate parentheses

  -3x = -276 . . . . . . . . . . . . . collect terms; subtract 1300

  x = 92 . . . . . . divide by 3

92 students with activity cards attended the dance.

_____

<em>Comment on the solution</em>

Often, you will see such a problem solved using two equations. For example, they might be ...

Let 'a' represent the number with an activity card; 'w' the number without. Then ...

  • a+w = 130 . . . . the total number of students
  • 7a +10w = 1024 . . . . the revenue from ticket sales

The problem statement asks for the value of 'a', so you want to eliminate w from these equations. You can do that using substitution. Using the first equation to write an expression for w, you have ...

  w = 130-a

and making the substitution into the second equation gives ...

  7a +10(130 -a) = 1024

This should look a lot like the equation we used above. There, we skipped the extra variable and went straight to the single equation we needed to solve.

5 0
3 years ago
"Each week, a subcommittee of four individuals is formed from among the members of a committee comprising seven individuals. Two
denis-greek [22]

Answer:

140 weeks.

Step-by-step explanation:

We are being asked for the maximum number that can elapse without having 2 subcommitees with the same members and the same chair. Notice that the secretary is not mentioned in this statement, so we can ignore that position.

Now, the maximum number of weeks would be equal to the total possible combinations of subcommitees that can be formed from the 7 individuals commiteed, times the number of options that can sit at the chair possition.

The total possible combinations of subcommitees that can be formed from the 7 individuals can be expressed like the following expression. Notice that there is no a particular order to be considered, so we use the combination formula:

\left[\begin{array}{ccc}7\\4\end{array}\right] = \frac{7!}{4!(7-4)!} = 35

Now, each of the 4 individuals have the same probability of being chosen as the chair commitee. So, we have to multiply 4 times the number of possible subcommitees in order to arrive our answer:

x = 35 * 4 = 140

This would be the maximum number of subcommitees that can be formed with no subcommitees with the same members and the same chair occurring.

3 0
3 years ago
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