(5x-2) + (2x+6) = 67, so we simplify and solve for x:
7x + 4 = 67 --> 7x = 63 --> x = 9
Now we substitute 9 for x in (5x-2):
5(9) - 2 --> 45 - 2 = 43
The distance between A and B is 43 miles.
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Step-by-step explanation:
<h3>
Need to FinD :</h3>
- We have to find the measures of other two angles of triangle.

We know that,
- The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.
Angle sum property,
- The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.


∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

Second AnglE :
∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

Third AnglE :
∴ Hence, the measure of the third angle of the triangle is 140°.
x = 10.22 in
Solution:
Width of the figure = x in
Length of the figure = (2x + 5) in
Area of the figure = 260 in²
<u>To find the value of x:</u>
<em>Area of the figure = length × width</em>
length × width = 260
(2x + 5) × x = 260

Subtract 260 from both sides of the equation.

Factor the above quadratic expression.
Quadratic equation formula:




x = 10.22, x = –12.72006
Dimension of the figure cannot be measured in negative terms.
Hence x = 10.22 in.
Area of trapezoid = Average length of parallel lines x height
3+22=25
25/2= 12.5
12.5x6=75cm^2