Answer:
- <u>The value of N is 8</u>
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- <u>The value of the angles is 48º</u>
Explanation:
The two indicated angles are supplementary because they could be drawn as two interior angles on the same side of two parallel sides cut by a transversal.
Thus, those measure of those two angles add up 180º, which lets you to write an equation and solve for N:
And the value of the angles is:
- 8N - 16 = 8(8) - 16 = 48, or
Answer:
C. The equation has two valid solutions and no extraneous solutions.
Step-by-step explanation:
See attached file for complete work.
Answer:
y = 
x + 9
Step-by-step explanation:
Given parameters:
Coordinates = (-2,8)
Equation of the line y = 2x + 5;
Unknown:
Linear equation of a line perpendicular = ?
Solution:
From the given expression, a line perpendicular will have a negative inverse of the slope given.
y = 2x + 5
Equation of a line is y = mx + c;
y and x are the coordinates
m is the slope
c is the intercepts
y = 2x + 5 ;
The slope is 2;
A line perpendicular will have a slope of
Since y = 8 and x = -2, let us find c;
8 = 2 x + c
8 = -1 + c
c = 8+1 = 9
The equation of the line is;
y = x + 9
Answer:
∠ 1 = 50°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum the 4 angles of the polygon and equate to 540°
let the unknown interior angle be x
x + 100° + 120° + 100° + 90° = 540° , that is
x + 410° = 130°
∠ 1 and x are adjacent angles on a straight line and sum to 180° , so
∠ 1 = 180° - 130° = 50°
