The figure below shows a 39-inch ramp that is attacked to a deck.
2 answers:
Answer:
15 inches
Step-by-step explanation:
1. Use the Pythagorean Theorem: a^2+b^2=c^2
You are already given c (the longest side) and one of the legs which could be a or b.
2. Plug the numbers into the formula and square them.
a^2 + 36^2 = 39^2
Squaring the numbers gives you: a^2 + 1,296 = 1,521
3. Subtract 1,296 from both sides and take the square root of the result.
a^2 = 225
= 15
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Answer:
The most precise name for a quadrilateral ABCD is a parallelogram
Step-by-step explanation:
we have
A(2,3) B(7,2) C(6,-1) D(1,0)
Plot the quadrilateral'
using a graphing tool
The quadrilateral ABCD in the attached figure
Verify the length of the sides
the formula to calculate the distance between two points is equal to
step 1
Find distance AB
A(2,3) B(7,2)
substitute
step 2
Find distance BC
B(7,2) C(6,-1)
substitute
step 3
Find distance CD
C(6,-1) D(1,0)
substitute
step 4
Find distance AD
A(2,3) D(1,0)
substitute
step 5
Compare the length sides
AB=CD
BC=AD
Opposite sides are congruent
<em>Verify the slope of the sides</em>
The formula to calculate the slope between two points is equal to
step 1
Find slope AB
A(2,3) B(7,2)
substitute
step 2
Find slope BC
B(7,2) C(6,-1)
substitute
step 3
Find slope CD
C(6,-1) D(1,0)
substitute
step 4
Find slope AD
A(2,3) D(1,0)
substitute
step 5
Compare the slopes
The slope of the opposite sides are equal, that means, opposite sides are parallel
The slopes of consecutive sides are not opposite reciprocal, that means, consecutive sides are not perpendicular
therefore
The most precise name for a quadrilateral ABCD is a parallelogram
