Answer:
47/10 - 3.2
Step-by-step explanation:
Given
Dolphin = 3.2
Bird = 47/10
Required
What is the vertical distance between both
Using a vertical scale;
Represent the bird "above sea level" position with positive and dolphin at "below sea level" position with negative.
The vertical distance between them is as follows;
Distance = +[Above The Sea] - [Below The Sea]
Distance = +47/10 - 3.2
Distance = 47/10 - 3.2
Hence, the vertical distance between both is 47/10 - 3.2
B. same side interior angles are supplementary when two parallel lines are crossed by a transversal (PV and QM are two parallel lines crossed by TL)
c. definition of supplementary angles the definition of supplementary means that they add up to 180 degrees and you concluded in b that <1 and <2 are supplementary
e. definition of congruent angles two angles that are congruent have the same measure
g. definition of supplementary angles two angles that add up to 180 are supplementary
h. if the same side interior angles are supplementary when two lines are intersected by a transversal then the lines are parallel ( TL and VM are intersected by QM and <2 and <3 are supplementary)
Solve for x:
x^2 + 10 x + 12 = 36
36 = 36:
x^2 + 10 x + 12 = 36
Subtract 12 from both sides:
x^2 + 10 x = 24
Add 25 to both sides:
x^2 + 10 x + 25 = 49
Write the left hand side as a square:
(x + 5)^2 = 49
Take the square root of both sides:
x + 5 = 7 or x + 5 = -7
Subtract 5 from both sides:
x = 2 or x + 5 = -7
Subtract 5 from both sides:
Answer: x = 2 or x = -12 Thus the Answer is A.
Answer:
2 - √3
Step-by-step explanation:
tan45 = 1
tan60 = √3
2 tan 45 - tan 60
2(1) - √3
=> 2 - √3
Answer:
(4, 1)
Step-by-step explanation:
8 units to the right = x + 8, so -4 + 8 = 4
4 units up = y + 4, so -3 + 4 = 1