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The coordinates of point E is (-2, -1.5)
<h3>How to determine the coordinates of point E?</h3>The complete question is added as an attachment
The given parameters are
C = (1, 6)
D = (-3, -4)
The ratio 3/4 can be represented as:
m : n = 3 : 1
So, the coordinate of point E is
E = 1/(m + n) * (mx2 + nx1, my2 + ny1)
So, we have:
E = 1/(3 + 1) * (3 * -3 + 1 * 1, 3 * -4 + 1 * 6)
Evaluate
E = 1/(4) * (-8, -6)
This gives
E = (-2, -1.5)
Hence, the coordinates of point E is (-2, -1.5)
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Answer:
10 cm
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = × d₁ × d₂ ( d₁ and d₂ are the diagonals )
Here A = 60, d₁ = 12, thus
60 = 0.5 × 12 × d₂ = 6 d₂ ( divide both sides by 6 )
d₂ = 10
The other diagonal is 10 cm
Answer:
Part 1)
Part 2)
Part 3)
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the value of x
we know that
---> by addition segment postulate
we have
substitute
solve for x
step 2
Find the value of EF
substitute the value of x
step 3
Find the value of FG
substitute the value of x
