Answer:
40°
Step-by-step explanation:
Supplementary angles add up to 180°. Complementary angles add up to 90°.
m∠1 + m∠2 = 180°
115° + m∠2 = 180°
m∠2 = 65°
m∠2 + m∠3 = 90°
65° + m∠3 = 90°
m∠3 = 25°
m∠2 − m∠3 = 65° − 25° = 40°
Answer:
y = 2x - 13
Step-by-step explanation:
Equation of a line is y = mx + c, m is the gradient and c is the intercept
The line passes through points 4 and -5, x is 4 and y is -5
-5 = 4m + c
When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1
x + 2y = 5
2y = -x + 5
y = (-1/2 * x) + 5
therefore m = -1/2
m1 * m2 = -1
m * -1/2 = -1
-m = -2 , therefore m = 2
-5 = 4 * 2 + c
c = -5 - 8, which is -13
Therefore the equation for the line is
y = 2x - 13
Answer: The interest is $60
Step-by-step explanation:
500*112%=$560
560/18=$31.11
$60 in interest is paid, or an additional $3.33 a month (Bringing the monthly loan payment to a grand total of $31.11)
