Which of these is a point-slope equation of the line that is perpendicular to y – 3 = 4(x – 10) and passes through (–3, 7)? a. y + 7 = –(x – 3) b. y – 7 = –4(x + 3) c. y – 7 = –(x + 3) d. y + 7 = 4(x – 3)

So, we know the slope of the original equation is 4.  So the perpendicular slope is the negative reciprocal, so it's -1/4.  Then, the points have to be -3, 7.  So when we plug that into our equation, we get

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

300pi

step-by-step explanation: