110 km * [1 mile / 1.609 km] = 68.365 miles
13.5 liters / [3.785 liter/gal] = 3.567 gallons
68.365 miles / 3.567 gal = 19.17 miles per gallon
Answer:
following sets of lengths can represent the measures of the sides of a right triangle? ... Q. Given ∆ABC ~ ∆LMN,
Step-by-step explanation:
Answer:
m∠DAB = 101°
x = 7
y = 12
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides of a parallelogram are equal and parallel.
2). Opposite interior angles are equal in measure.
3). Consecutive interior angles are supplementary.
By the first property,
BC ≅ AD
2x + 4 = 3x - 3
3x - 2x = 4 + 3
x = 7
AB ≅ CD
2y + 10 = 3y - 2
3y - 2y = 10 + 2
y = 12
By second property,
m∠ABC = m∠ADC
2z + 15 = 3z - 17
3z - 2z = 15 + 17
z = 32
Therefore, m∠ADC = (3z - 17)°
= 3(32) - 17
= 96 - 17
= 79°
By third property,
m∠ADC + m∠DAB = 180°
79° + m∠DAB = 180°
m∠DAB = 180° - 79°
m∠DAB = 101°
Your f(x)=sqrt[x+8]/(x+4)(x-6) is MUCH clearer, but not 100% clear. I will assume that your denominator here is the product of (x+4) and (x-6):
√x+8)
f(x) = ------------------
(x+4)(x-6)
We cannot divide by zero. Thus, x cannot be -4 and cannot be 6.
Thus, the domain is:
(-infinity, -4) or (-4, 6) or (6, infinity).