Find sec x if sin x = -7/25 and cot x = -24/7.
Show work.

25/24

Step-by-step explanation:

sin x = O/H = -7/25

cot x = A/O = -24/7

sec x = H/A

if sin x = -7/25, the opposite side is 7, and the hypotenuse is 25

if cot x = -24/y, the adjacent side is 24 (and the opposite side is still 7)

since H = 25 and A = 24, sec x = 25/24

Also, you know it's positive because when sin x is negative, the angle is in quadrants 3 or 4, and when cot x is negative, the angle is in quandrants 2 or 4, so the only quadrant that satisfies both is 4. In quadrant 4, sec x is positive.

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation:

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: