Answer:
Step-by-step explanation:
In problems like this, it always helps to draw a picture.
-> See attached for the picture I drew (<em>not to scale</em>)
Now, the trigonometric function tangent can be found with opposite / adjacent
When looking at ∠D, the opposite side if 48 and the adjacent side is 55.
O / A = 48 / 55
Answer:
There are 7 five dollar bills in the jar.
Step-by-step explanation:
There are 7 because 16 + y + 4 = 27 → 20 + y = 27 → y = 7
Answer:
A
Step-by-step explanation:
∆ABC is similar to ∆DEF if and only if the ratio of their corresponding side lengths are the same.
Let's find out:
DE/AB = 10/5 = 2
EF/BC = 8/4 = 2
FD/CA = 12/6 = 2
The ratio of their corresponding side lengths are equal, therefore, ∆ABC is similar to ∆DEF based on the SSS Similarity Theorem.
We have that
<span>points A (-5, 6) and B (7, -1)
Part A)
find the distance
d=</span>√[(y2-y1)²+(x2-x1)²]-------> d=√[(-1-6)²+(7+5)²]----> d=√(49+144)
d=√193 units
Part B)
find the midpoint
ABx=(x1+x2)/2-----> (-5+7)/2-----> ABx=1
ABy=(y1+y2)/2-----> (-1+6)/2-----> ABy=2.5
the midpoint is (1,2.5)
Part C)
find the slope
m=(y2-y1)/(x2-x1)-----> m=(-1-6)/(7+5)--------> m=-7/12
the slope m=-7/12
