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alexandr402 [8]
3 years ago
7

What is m∠C? Enter your answer in the box. m∠C= °

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0

Answer:

m∠C = 60°

Step-by-step explanation:

First, let's start with the fact that all angles in a triangle add up to 180°. That means that:

x+3x+2x=180°

We can simplify it into:

6x=180°

To figure out x, we need to divide 180 by 6.

That means each x is 30°

m∠C = 2x

m∠C = 60°

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Solve the system of equations -3x+7y=-18 and 4x-4y=8 by combining the equations.
Aleksandr-060686 [28]

Answer:

\huge \colorbox{red}{(x,y)=(-1,-3)}

Step-by-step explanation:

multiply first equation by 4 and second by 3 respectively:

\begin{cases} \displaystyle - 12x + 28y =  - 72 \\   \:  \: \displaystyle  \: 12x - 12y = 24 \end{cases}

combine the equations:

\underline{ \begin{cases} \displaystyle - 12x + 28y =  - 72 \\   \:  \: \displaystyle  \: 12x - 12y = 24 \end{cases}} \\  \displaystyle16y =  - 48

divide both sides by -48:

\displaystyle \:  \frac{16y}{16}  =  \frac{ - 48}{16}  \\ y =  - 3

substitute the value of y to the second equation

\displaystyle \: 4x - 4. - 3 = 8

simplify multiplication:

\displaystyle \: 4x  + 12 = 8

cancel 12 from both sides:

\displaystyle \: 4x =  - 4

divide both sides by 4

\displaystyle \:  \frac{4x}{4}  =  \frac{ - 4}{4}  \\ x =  - 1

therefore our solution is

\displaystyle (x,y)=(-1,-3)

4 0
3 years ago
Read 2 more answers
Given a line with slope of 5 and y-intercept of -1, which of the ordered pairs given below would NOT be on the line?
Vedmedyk [2.9K]

Answer:

(4, 18)

Step-by-step explanation:

We can just pluck the x values into the equation: y = 5x -1 to see if the y values fit.

1. y = 5(4) - 1

     = 20 - 1

     = 19 (Nope, 18 is not 19)

2. y = 5(3) - 1

      = 15 - 1

      = 14 (Yep, same as option)

3. y = 5(0) - 1

      = 0-1

      = -1 (Yep, same as option)

4. y = 5(2) - 1

      = 10 - 1

      = 9 (Yep, same as option)

6 0
2 years ago
6x-14=2-10x what is the x
malfutka [58]

Answer:

x=1

Step-by-step explanation:

6x-14=2-10x

First step is to add 10x to each side

6x+10x-14=2-10x+10x

16x-14=2

Now add 14 to each side

16x-14+14=2+14

16x=16

Divide each side by 16 to isolate x

16x/16 =16/16

x =1

8 0
3 years ago
Read 2 more answers
How to do this step by step
Marina CMI [18]

1. 36 = 6·6 and 42 = 6·7 have a common factor of 6.

... x⁴ and x² have a common factor of x²

The GCF is 6x².

The factorization is 36x⁴ -42x² = 6x²(6x² -7)

2. All coefficients are multiples of 4. All variable factors are multiples of x³.

The GCF is 4x³.

The factorization is 4x⁵ -8x⁴ -4x³ = 4x³(x² -2x -1)

3. The GCF of coefficients 6 and 15 is (15 mod 6) = 3, which is also a factor of the other coefficients. The lowest power of m, which is m² is also a factor of the other terms.

The GCF is 3m².

The factorization is 6m⁵ -15m⁴ -21m³ +27m² = 3m²(2m³ -5m² -7m +9)

5 0
3 years ago
Can 3 8/35 be written in simplest form-please answer this is URGENT!!!
11Alexandr11 [23.1K]
No, because 3 8/35 is already written in simplest form
5 0
3 years ago
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