Answer:
y -3 = (-1/2)(x - 5)
Step-by-step explanation:
Slope of line: Notice that if we go from 7 to 5, the 'run' is -2 and the corresponding 'rise' from 2 to 3 is 1. Thus, the slope is m = -1/2.
Using m = -1/2 and the point (5, 3), we write the equation of this line in point-slope form as:
y -3 = (-1/2)(x - 5)
Those 2 angles makes up corresponding angles in parallel lines. Which means, both two angles equal to each other because this is a rule that exists when both of the lines are parallel to each other which is indicated with red arrows in the photo.
75 = 11x - 2
75 + 2 = 11x
77 = 11x
X = 77 / 11
X = 7
The answer is 7.
The <em>correct answer</em> is:
To draw arcs of a given size.
Explanation:
A compass is a tool used to draw a circle. Since an arc is a part of a circle, the most direct use of a compass would be to draw arcs of a given size.
Answer:
x = 5
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = 
bh ( b is the base and h the height )
Here b = x + 3 and h = 2x - 5 , thus
(x + 3)(2x - 5) = 20 ( multiply both sides by 2 )
(x + 3)(2x - 5) = 40 ← expand factors on left using FOIL
2x² + x - 15 = 40 ( subtract 40 from both sides )
2x² + x - 55 = 0 ← in standard form
(x - 5)(2x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5
But x > 0 , hence x = 5
