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Natalka [10]
3 years ago
14

Find the value of x.

Mathematics
2 answers:
daser333 [38]3 years ago
7 0

Answer:

x = 25

Step-by-step explanation:

Internal angles of a triangle = 180 degrees

So knowing this we can form the following equation

(x + 26) + (x + 14) + (4x - 10) = 180

Simplify

(x + x + 4x) + (26 + 14 - 10) = 180

6x + 30 = 180

Rearrange for x

6x = 180 - 30

6x = 150

x = 25

pickupchik [31]3 years ago
3 0

▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪

According to angle sum property of the triangle, we can say that :

  • (x + 26) \degree + (4x - 10) \degree + (x + 14) \degree = 180 \degree

  • x + 4x + x + 26 \degree - 10 \degree + 14 \degree = 180 \degree

  • 6x + 30 \degree = 180 \degree

  • 6x = 180 \degree - 30 \degree

  • 6x = 150 \degree

  • x =  \dfrac{150 \degree}{6}

  • x = 25 \degree
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Step-by-step explanation:

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Find the complete solution of the system <br><br> 5x+3y+11z=37<br><br> 3y+z=12<br><br> 5x+9y+13z=61
valkas [14]

Answer:

y = \displaystyle\frac{12-z}{3}\\\\x = -2z + 5

Step-by-step explanation:

We are given a system of equation:

5x+3y+11z=37\\3y+z=12\\5x+9y+13z=61

To find a solution to the given system, we follow the given steps.

1. Subtracting second equation from first and third equation, we get:

5x+3y+11z-3y-z=37-12\\5x+10z = 25\\5x+9y+13z-3(3y+z) = 61 - 36\\5x + 10z = 25

2. After eliminating z to obtain two equations in two variable, we observe that the two equations obtained were same.

So we have three equations that will all graph in the same plane.

Thus, there are infinite number of solution to the given system of equation.

We can write the values of x and y in the form of z:

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3 0
3 years ago
WILL MARK BRAINLIEST Which expression is equivalent to −1.3 + (−4.9 ) + (−2.6) ?
Furkat [3]
You can remove the first plus sign to give:
-1.3 -4.9 [ because + x - = - ]
and by the same rule you can remove the the second plus sign to give
-1.3 -4.9 - 2.6
That means option b is out because it is positive. 
straight away we can see that option D. equals the result, so it is in the running, so now can we eliminate c and a?
we can eliminate a because the  minus ign outside the bracket multiplied by -4.9 inside the bracket produces + 4.9, which is not the answer, so that only leaves c. 
once again, a plus sign outside the bracket does not produce -4.9 when muliplied by  4.9 inside the bracket inside option c, so we can eliminate option c.

~
Answer (D) 

6 0
3 years ago
What is the value of x ? write your answers in the blanks 5x+5+95=180
katrin [286]

Answer:

............................................

7 0
3 years ago
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