Answer:
- parallelogram
- x = 5
- 60 units
Step-by-step explanation:
A. Opposite sides are the same length, so the figure is a parallelogram.
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B. Diagonals of a parallelogram cross at their midpoints, so ...
9x +3 = 10x -2
5 = x . . . . . . . . add 2-9x to both sides
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C. The longer side is 12x = 12(5) = 60 . . . . units
Answer:
6 and 18
Step-by-step explanation:
a+b=24
5a-b=12
5a+a=6a
24+12=36
6a=36 so A on it's own is 6
24-6=b
b=18
hope this helps!
6.7 10 squared positive 8
Answer:
Length of side of rhombus is
Step-by-step explanation:
Given Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC. We have to find the length of side of rhombus.
It is also given that AB=a and AC=b
Let side of rhombus is x.
In ΔCEF and ΔCBA
∠CEF=∠CBA (∵Corresponding angles)
∠CFE=∠CAB (∵Corresponding angles)
By AA similarity rule, ΔCEF~ΔCBA
∴ their sides are in proportion

⇒ 
⇒ 
⇒ 
⇒ 
Hence, length of side of rhombus is
Answer:
b) 3cd+3 1/3c-3d
Step-by-step explanation:
It can work well to factor the variables out so you can see the coefficients more easily:
6cd+3c-7d-3cd+4d+1/3c
= (6 -3)cd +(3 +1/3)c +(-7 +4)d
= 3cd +(3 1/3)c -3d