Answer:
Step-by-step explanation:
The mid point can be found with the formula
The given coordinates are 
and 
.
Replacing coordinates in the formula, we have
Therefore, the mid point of the segment PQ is
Answer:
w=3
Step-by-step explanation:
(w+3)x2=4w
2w+6=4w
2w+6-6=4w-6
2w-4w=4w-6-4w
-2w=-6
-2w/2 = -6/2
w=3
Answer:
10 and 16, x+(x+6)=26
Step-by-step explanation:
Michelle has an age we don't know, so we put her age as x.
Yogi is 6 years older than her, so her age is x+6
Michelle=x
Yogi=x+6
we know both their ages equal 26. so we set it up as
x+(x+6)=26
combining like terms we get
2x+6=26
subtract 6 from both sides
2x=20
divide both sides by 2
x=10
now that we have the value for x, we plug it into their original ages
Michelle is 10, because her age is just x.
Yogi is 16, because her age is x+6
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Answer:
A. 4.4 units²
Step-by-step explanation:
Area of a Triangle: A = 1/2bh
sin∅ = opposite/hypotenuse
cos∅ = adjacent/hypotenuse
Step 1: Draw the altitude down the center of the triangle
- We should get a perpendicular bisector that creates 90° ∠ and JM = KM
- We should also see that we use sin∅ to find the <em>h</em> height of the triangle and that we use cos∅ to find length of JM to find <em>b</em> base of the triangle
Step 2: Find <em>h</em>
sin70° = h/3.7
3.7sin70° = h
h = 3.47686
Step 3: Find <em>b</em>
cos70° = JM/3.7
3.7cos70° = JM
JM = 1.26547
Step 4: Find entire length base JK
JM + KM = JK
JM = KM (Definition of Perpendicular bisector)
2(JM) = JK
2(1.26547) = 2.53095
b = 2.53095
Step 5: Find area
A = 1/2(3.47686)(2.53095)
A = 4.39988
A ≈ 4.4
