Use the sine function.
sine = opposite side of triangle divided by the hypotenuse.
Here is the set up:
sin(50°) = BC/3
sin(50°)/3 = BC
Use your calculator to simply left side.
Take it from here.
The slope of the given line is the coefficient of x, 3/5. The slope of the perpendicular line will be the negative reciprocal of that: -1/(3/5) = -5/3.
The point-slope form of the equation for a line of slope m through point (h, k) can be written ...
... y = m(x -h) +k
For your point and the slope found above, this becomes
... y = (-5/3)(x -15) -5
When x=0, this is
... y = (-5/3)(-15) -5 = 20
The y-intercept is 20.
Answer:
3
Step-by-step explanation:
Parallel lines have the same slope
So if line Q has a slope of 3
Line R which is parallel to Q must have a slope of 3
Answer:
∠4 and ∠3
∠4 and ∠5
∠3 and ∠6.
Step-by-step explanation
Find the diagram attached
First you must note that the sum of two supplementary angles is 180°
Also, since the sum of angle on a straight line is 180°, the angles that are supplementary must lie on the same straight line.
Based on the diagram, the pair of angles that lies on the same straight line are ∠4 and ∠3, ∠4 and ∠5 and ∠3 and ∠6. If that is the case, hence this angles are supplementary.