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blagie [28]
3 years ago
10

Can anyone help with this

Mathematics
1 answer:
mestny [16]3 years ago
3 0
The sum of the interior angles of a triangle is always 180 degrees.  Thus,
the sum of 31, x+4 and 3x+9 must be 180.

31 + x + 4 + 3x + 9 = 180,     or    44 + 4x = 180


While it's not necessary, y ou could reduce this equation before solving for x:

11 + x = 45.             Then x = 34 degrees.

The three angles are then:

31
34+4 = 38
3(34) + 9 = 111

Check:  show that 31+38+111 = 180 (degrees)
You might be interested in
Draw a triangle that satisfies this condition: The ratio of the interior angles is 7:11:12
denpristay [2]
The sum of the interior angles of a triangle is 180 degrees.
1.) Translating the problem into equation:
             7:11:12 = 180 degrees
      7x+11x+12x = 180 degrees; Where x = missing number
                    30x = 180
               30x/30 = 180/30 divide both sides by 30
                        x = 6
2.) Substitute the values:
       7x+11x+12x = 180
7(6)+11(6)+12(6) = 180
           42+66+72 = 180
                     180 = 180
3.) Therefore, the angles should be 42 degrees, 66 degrees and 72 degrees.
4.) See attached drawing of triangle

7 0
3 years ago
While traveling along a highway a driver slows from 24 m/s to 15 m/s in 12 seconds. What is the automobile’s acceleration? (Re
Andrei [34K]

We are given that:

vi, initial velocity = 24 m/s

v, final velocity = 15 m/s

t, time = 12 s

 

The formula for acceleration is:

a = (v – vi) / t

a = (15 – 24) / 12

<span>a = - 0.75 m/s^2                                (deceleration)</span>

5 0
3 years ago
Tyler painted 9/2 square yards of wall area with 3 gallons of paint. How many gallons of paint does it take to paint each square
galben [10]

Answer:

He would need 3/4 a gallon to paint the wall

Step-by-step explanation:

6 0
3 years ago
. Byron has 17 kilograms of black pepper. He uses a of the pepper
Sphinxa [80]
About 2.43 kg of pepper
Divide 17 by 7
5 0
3 years ago
What is the equation in slope-intercept form of a line parallel to y=−2x+5 and passes through the point (4, 0)?
ser-zykov [4K]

Parallel lines have the same slope

The equation of the line is: y = -2x+8

The equation is given as:

y = -2x + 5

The slope intercept form of an equation is:

y = mx + b

Where:

m \to slope

By comparison,

m = -2

The line is said to be parallel to y = -2x + 5.

This means that the line has a slope of m = -2

The equation of the line is then calculated as:

y = m(x - x_1) + y_1

Where:

(x_1,y_1) = (4,0)

So, we have:

y = m(x - x_1) + y_1

Substitute values for m, x1 and y1

y = -2(x - 4) + 0

y = -2(x - 4)

Open brackets

y = -2x+8

Hence, the equation of the line is: y = -2x+8

See attachment for the graphs of y = -2x+8 and y = -2x + 5

Read more about equations of parallel lines at:

brainly.com/question/402319

8 0
3 years ago
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