Answer: B = 70°, b = 29.2; c = 29.2
Step-by-step explanation:
sum of angles in a triangle is 180
40+70 +X = 180
X is the last angle
110+x=180
x= 180-110 =70
A= 40°
B= 70°
C= 70°
the triangle is Isosceles triangle meaning two sides are equal , angle B = angle C
Answer:
ln(5/256)
Step-by-step explanation:
Step 1, do the stuff in parenthesis:
1/5 (2ln5 + 3ln5) - 8ln2 = 1/5 (5ln5) - 8ln2
Step 2, remove parenthesis and simplify:
1/5 (5ln5) - 8ln2 = ln5 - 8ln2
Step 3, use this formula-
8*ln2 = ln2^8 = ln256
-to get:
ln5 - 8ln2 = ln5 - ln256
Step 4, use another formula:
ln(A) - ln(B) = ln(A/B), so the answer is ln(5/256) TADA!
Answer:
Perpendicular
Step-by-step explanation:
Parallel lines have equal slopes.
The product of perpendicular slopes = - 1
Calculate the slopes of u and v using the slope formula
m =
with (x₁, y₁ ) = (- 51, 65) and (x₂, y₂ ) = (- 46, 96)
m = =
Repeat with (x₁, y₁ ) = (- 37, 85) and (x₂, y₂ ) = (- 6, 80)
m = = -
Since × - = - 1
Then the lines are Perpendicular