Answer:
2.75
Step-by-step explanation:
Answer:
360°
Step-by-step explanation:
We need only remember that the sum of the measures of the interior angles of a triangle is 180°. Angle c and 112° form a pair of "straight angles," so they add up to 180°; as a consequence, Angle c = 180° - 112°, or 68°.
With two of the interior angles now known, we can calculate the third, Angle A: It is 180° less (51° + 68°), or 180° - 119°, or 61°.
That means that the measure of Angle B is 180° - 61° = 119°
Looking at the pair C and 112°, we identify the exterior angle as 112°.
Looking at the pair A and B, or 61° and 119°, we identify the exterior angle as 119°.
Finally, looking at the pair 51° and (180° - 51°), or
51° and 129°, we identify the exterior angle as 129°.
Then the sum of the exterior angles 129° and 119° and 112° is 360°.
Given:
The given equation of line is
To find:
The equation of line that passes through (-5,4) and is parallel to the given line.
Solution:
Slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
Slope of given line is .
Slope of parallel lines are same. So, slope of parallel line is .
The required line passes through (-5,4) with slope . So, the equation of line is
Adding 4 on both sides, we get
Therefore, the correct option is a.
Answer:
1/12
Step-by-step explanation:
since there are 6 sides on a die, there is a 1/6 chance of any given number being rolled. And coins have a 1/2 chance of being heads.
1/2x1/6 = 1/12
