Answer:
a = 35
c = 85
Step-by-step explanation:
85 + 60 + a = 180 as they are all supplementary angles (together they form an angle of 180°)
therefore a = 35.
a + ( 180 -(a+85)) + c =180 (as the angles of a triangle add up to 180°. our triangle is NMT, the angles are a, c and 180°-(a+85°) for a theorem about lines secant to parallel lines)
therefore c = 85
54 because the formula for the area of triangle is 1/2bh so you just substitute the b and h for 18 and 6
A loan of $1500 attracts a daily interest of 3(0.29) = $0.87
For 120 days you pay $0.87 x 120 = $104.40 interest.
I = PrT; where P is the principal, r is the annual interest rate and T is the time.
500 x r x 1/365 = 0.29
r = 0.29 x 365 / 500 = 105.85/500 = 0.2117
Therefore,, Annual interest rate = 21.17%
Answer:
d = 4 miles
Step-by-step explanation:
combined speed = 7 + 9 = 16 mph
s = d/t
d = st
d = 16 miles/hr × 0.25 hr
d = 4 miles
Please mark me as brainliest
Answer:
4) y = 9
5) x = -1
6) y = -5x − 9
Step-by-step explanation:
4) x = 3 is a vertical line with an x-intercept of (3, 0). It has an undefined slope.
A perpendicular line to that will be y = a, which is a horizontal line with a y-intercept of (0, a) and a slope of 0. Since this line passes through (3, 9), the equation of the line must be y = 9.
5) The y-axis is x = 0. A parallel line that includes the point (-1, -2) is x = -1.
6) Parallel lines have the same slope, so:
y = -5x + b
To find the value of b (the y-intercept), plug in the point (-2, 1):
1 = -5(-2) + b
1 = 10 + b
b = -9
y = -5x − 9