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alexandr1967 [171]
2 years ago
11

What is the measurement of the complete angle? 120° 60°

Mathematics
2 answers:
adelina 88 [10]2 years ago
7 0
180° = 120° + 60°
A line is 180 degrees
Hope this helps!
Semmy [17]2 years ago
6 0
180 degrees is the answer
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In Exercises 40-43, for what value(s) of k, if any, will the systems have (a) no solution, (b) a unique solution, and (c) infini
svet-max [94.6K]

Answer:

If k = −1 then the system has no solutions.

If k = 2 then the system has infinitely many solutions.

The system cannot have unique solution.

Step-by-step explanation:

We have the following system of equations

x - 2y +3z = 2\\x + y + z = k\\2x - y + 4z = k^2

The augmented matrix is

\left[\begin{array}{cccc}1&-2&3&2\\1&1&1&k\\2&-1&4&k^2\end{array}\right]

The reduction of this matrix to row-echelon form is outlined below.

R_2\rightarrow R_2-R_1

\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\2&-1&4&k^2\end{array}\right]

R_3\rightarrow R_3-2R_1

\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&3&-2&k^2-4\end{array}\right]

R_3\rightarrow R_3-R_2

\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&0&0&k^2-k-2\end{array}\right]

The last row determines, if there are solutions or not. To be consistent, we must have k such that

k^2-k-2=0

\left(k+1\right)\left(k-2\right)=0\\k=-1,\:k=2

Case k = −1:

\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-1-2\\0&0&0&(-1)^2-(-1)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-3\\0&0&0&-2\end{array}\right]

If k = −1 then the last equation becomes 0 = −2 which is impossible.Therefore, the system has no solutions.

Case k = 2:

\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&2-2\\0&0&0&(2)^2-(2)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&0\\0&0&0&0\end{array}\right]

This gives the infinite many solution.

5 0
3 years ago
Jim Tree will drive from his home in Jackson Heights to Jones City. The distance on the map measures 3 1/2 inches. The scale on
expeople1 [14]
Just multiply !!

so 1 inch = 5 miles
3.5 inch must be 3.5×5 = 17.5 miles

so the answer is 17.5 miles !!
7 0
3 years ago
Read 2 more answers
Write and graph exponential functions to model the number of students at school A and at school B as a function of number of yea
Westkost [7]

Answer:

2^8 2x2x2x2x2x2x2x2=256

Step-by-step explanation:

8 0
3 years ago
Eli left his house one afternoon to study at the library. The graph shows his distance, in miles, away from his house as a funct
jeka94

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct option is C.

<h3>What is a graph?</h3>

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The graph for the given question is attached below.

As it can be seen that the y-axis shown the distance between Eli's location and his home, since the distance is starting to decrease when the time is 120 seconds, therefore, it can be concluded that Eli rode his bicycle home from the library.

Hence, the correct option is C.

Learn more about Graph:

brainly.com/question/21608293

#SPJ1

3 0
2 years ago
PLEASE HELPPPPPPPPPP
Hitman42 [59]

Answer:

b=5

Step-by-step explanation:

  • We are going to use the basics of algebra to solve this

We need to isolate b by itself to find the value of b.

8b + 12 = 52

Subtract 12 from both sides

8b = 40

b = 5

6 0
3 years ago
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