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lora16 [44]
3 years ago
15

M Find the measure of each angle.

Mathematics
1 answer:
Illusion [34]3 years ago
4 0

Answer:

Step-by-step explanation:

According the Triangle sum theorem:

m<T + m<U + m<V =180

x + 2x + x + 80 = 180

solve: x=25

Therefore m<T = 25, m<U = 50, and m<V = 105

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The answer is a. x>0
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a group of students help a fundraiser last year and raised $950 for charity . This year, they raised $1,045. What is the percent
MakcuM [25]

1045-950 = 95

95/950 = 0.1 = 10% increase

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3 years ago
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An arts academy requires there to be 5 teachers for every 95 students and 4 tutors for every 40 students how many students does
Whitepunk [10]

Answer:

19 students per teacher and 10 students per tutor

Step-by-step explanation:

To find the amount of students per teacher and per tutor you have to divide

95 students /5 teachers

19 students per teacher

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2 years ago
What is -3y(y-8)(2y+1)=0
Marta_Voda [28]

Step-by-step explanation:

(-3y^2+24y)(-6y^2-3y)

open the bracket and collect the like terms

-3y^2-6y^2+24y-3y

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7 0
2 years ago
The augmented matrix of a system of equations has been transformed to an equivalent matrix in​ row-echelon form. Using​ x, y
jenyasd209 [6]

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a <u>Row</u> <u>Echelon</u> <u>Form,</u> which satisfies the following conditions:

  • There is a row of all zeros at the bottom of the matrix;
  • The first non-zero element of any row is 1, which called leading role;
  • The leading row of the first row is to the right of the leading role of the previous row;

For this question, the matrix is a Row Echelon Form and is written as:

\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right]\left[\begin{array}{ccc}4\\9\\-2\end{array}\right]

or in system form:

x + 2y + 2z = 4

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Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

4 0
3 years ago
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