First we need to find the slope.
slope = (y2 - y1) / (x2 - x1)
slope = (-5 - 2) / (5 - -3)
slope = (-7) / (5 + 3)
slope = -7/8
.
Point-slope form:
y - y1 = m(x - x1)
y - 2 = (-7/8)(x - -3)
y - 2 = (-7/8)(x + 3)
y - 2 = (-7/8)x - 21/8
y = (-7/8)x - 21/8 + 2
y = (-7/8)x - 21/8 + 16/8
y = (-7/8)x - 5/8
Answer:
The answer would be A.) 111
Step-by-step explanation:
The angles of any triangle must add up to 180. So you subtract ∠1 and ∠2 from 180 and you will get the 3rd angle.
ANSWER
450lb
EXPLANATION
If the weight, m of an object on the moon varies directly as the weight of an object e, on the earth, then we can write the mathematical statement,.

We introduce the constant of proportionality to obtain,

When, m=95, e=570,
This implies that,



The equation now becomes,

We want to find e, when m=2700,

Answer:
perimeter = 28.13 cm
Step-by-step explanation:
Calculate the length of a line drawn from A to C.
sin 85 = b/8, b = 7.97
cos 85 = c/8, c = 0.697
AC² =7.97² + (6 + 0.697)² = 63.52 + 44.85 = 108.37
AC = 10.41
Now you have a right triangle ADC with a known hypotenuse and one leg.
Using the Pythagorean theorem:
DC² = 10.41² - 5²
DC² = 108.37 - 25 = 83.37
DC = 9.13 cm
perimeter = 5 + 6 + 8 + 9.13 = 28.13 cm