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Rom4ik [11]
3 years ago
10

How do I solve this?

Mathematics
1 answer:
Vilka [71]3 years ago
3 0

Answer:

36

Step-by-step explanation:

Here,

24 and 2x + 18 are interior angles of the triangle.

3x + 6 is the exterior angle of the triangle.

Formula : -

Exterior angle of the triangle

= Sum of two interior angles.

3x + 6 = 24 + 2x + 18

3x + 6 = 2x + 24 + 18

3x + 6 = 2x + 42

Bring variables to the left side while the numbers towards the right.

3x - 2x = 42 - 6

x = 36

Therefore,

the value of x is 36.

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The intersection of the two sides of an angle is called it’s
Fofino [41]

Answer:

vertex

Step-by-step explanation:

i think so. that makes sense

5 0
3 years ago
What is the slope of the line on the graph?
Fudgin [204]

Answer:

m=\frac{1}{2}

Step-by-step explanation:

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Simply plug in 2 coordinates into the slope formula to find slope <em>m</em>:

(0, 2)

(-4, 0)

m=\frac{2-0}{0-(-4)}

m=\frac{2}{0+4}

m=\frac{2}{4}

m=\frac{1}{2}

7 0
4 years ago
What is the equation of the line?
mafiozo [28]

<span>Hello : let  A(-4,5)    B(-5,-4)
the slope is :   (YB - YA)/(XB -XA)
(-4-5)/(-5+4)  = -9/-1=9
an equation is : y=ax+b     a is a slope</span>

y = 9x +b

 

the line through point  A(-4,5) :  5 = 9(-4)+b<span>
<span>b =41 
the equation is : y =9x+41</span></span>

3 0
4 years ago
The table below represents the displacement of a bird from its nest as a function of time:
Delvig [45]
The y-intercept (point where x, or time equals zero), is 12 miles. This means that when observation of the bird began at time t=0, it was already away from its nest. Based on the rest the graph, one can infer that the bird has a very large range (travels far from her nest) and spends a great deal of time away from her nest. 

To find the average rate of change of the function, take the change in y between x=1 and x=3 and divide by 2. 
(36 - 20) / 2 = 16/2 = 8 miles / hour .

The domain of the function is the range of x for which y is a real number. We see in the chart provided that the bird travels 8 miles every hour. 

How many hours will it take to travel 172 miles from the nest? The bird started at 12, so let's so how long it takes to travel 172 - 12 = 160 miles, moving at a rate of 8 miles/hour.
160 miles / 8mph = 20 hours
The domain of the function, the time range in which the bird travels 172 miles from the nest, will be 0 ≤ x ≤ 20
6 0
4 years ago
Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place
mart [117]

Step-by-step explanation:

Area of Figure

= Area of Parallelogram + Area of Semicircle

= (26)(13) + 0.5π(24/2)²

= 338 + 72π

= 564.2.

5 0
3 years ago
Read 2 more answers
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