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Tresset [83]
3 years ago
9

The sum of the measures of angle M and angle R is 90°.

Mathematics
1 answer:
denis23 [38]3 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

We have: The sum of the measures of angle M and angle R is 90°

M + R = 90°    

M = (5x + 10)°

Plug M into (1)

the equation: (5x + 10)° + R = 90°   (2)

R=55° into (2)

(5x + 10)° + 55° = 90°

5x + 10 + 55 = 90

 5x + 65 = 90

5x = 25

x = 5

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Given matrices A and B shown below, find (3)A+(8)B.
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Answer:

\left[\begin{array}{ccc}32&-55\\3&39\end{array}\right]

Step-by-step explanation:

\left[\begin{array}{ccc}0&-15\\3&15\end{array}\right] +\left[\begin{array}{ccc}32&-40\\0&24\end{array}\right] =\left[\begin{array}{ccc}0+32&-15+(-40)\\3+0&15+24\end{array}\right] = \left[\begin{array}{ccc}32&-55\\3&39\end{array}\right]

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2 years ago
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3 years ago
Which expression is equivalent to 4 (3n - 5)?
mart [117]

Expression 4 (3n - 5) is equivalent to <em><u>C: 12n - 20</u></em>

<h3>Further explanation </h3>

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

  • 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

  • 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

  • 3. constants

is a fixed value, can be a number

  • 4. arithmetic operations  ⇒ +, - , : , x

Calculation operations include multiply, divide, add, substract, etc.

There are several properties in integer multiplication operations

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Multiplication between integers will produce integers too

  • 2. commutative property

a x b = b x a

  • 3. associative property

ax (bxc) = (axb) xc

  • 4. identity

ax1 = 1 x a = a

  • 5. distributive  property

*<em> addition </em>

ax (b + c) = axb + axc

* <em>substraction </em>

ax (b-c) = axb - axc

We can use distributive  property  of <em>substraction   </em>to solve the problem

\displaystyle =4(3n-5)\\\\=4x3n - 4x5\\\\=12n-20

"Equivalent to" means having the same value.

From the answer choices , which produce the same expression is C. 12n-20

<h3>Learn more </h3>

6 squared divided by 2 (3) +4

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3 years ago
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For f(x) = 6x + 20, what is the value of x for which f(x)= -4 ?
Ymorist [56]

Answer:

x = -4

Step-by-step explanation:

Plug in -4 into the function and solve for x:

f(x) = 6x + 20

-4 = 6x + 20

-24 = 6x

-4 = x

So, the answer is x = -4

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3 years ago
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