In this question, we have o find the equation of line passing through point (1,1) and is perpendicular to the line
And slope of the given line is 5. And slopes of perpendicular lines are opposite and reciprocal of each other.
So slope of perpendicular line is
Using slope intercept form, which is
Substituting the values of x and y from the given point, and the value of m, we will get
adding 1/5 to both sides
So the required equation of line is
Answer:
a = 1 1/15
Step-by-step explanation:
1/4 a = 4/15
Multiply each side by 4 to isolate a
4 * 1/4a = 4 * 4/15
a = 16/15
a = 1 1/15
Answer:
m∠W = 125°
m∠X = 55°
m∠Z = 55°
Step-by-step explanation:
The shape is parallelogram WXYZ. m∠Y = 125.
A parallelogram is a quadrilateral shape in which both opposite sides and opposite angles are equal to each other. The diagonals of a parallelogram bisect each other. Also consecutive angles in a parallelogram are supplementary.
Therefore in parallelogram WXYZ:
m∠Z + m∠Y = 180° (Consecutive angles in a parallelogram are supplementary)
m∠Z + 125 = 180
m∠Z = 180 - 125
m∠Z = 55°
m∠W = m∠Y (Opposite angles are equal)
m∠W = 125°
m∠W + m∠X = 180° (Consecutive angles in a parallelogram are supplementary)
m∠X + 125 = 180
m∠X = 180 - 125
m∠X = 55°
Angle 1, 4, and 8 are all congruent to angle 5. The last choice would be correct.
The probability of getting even is 3/6 or 1/2 (mark as brainiest)
