Answer:
1/6
Step-by-step explanation:
LCD = 96
2(32) - 16(3)/ 3(32) = 64 - 48/96
= 16/96
Simplify:
16/ 16 = 1
96/16 = 6
2/3 - 16/32 = 1/6
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Answer:
Option D
∠GDE is supplementary to ∠DEF and also supplementary to ∠FGD
Step-by-step explanation:
To use the supplementary property to identify a parallelogram. The condition must be that that the same-side interior angles (consecutive angles) are supplementary.
Thus for parallelogram DEFG
D --------------------E
/ /
G---------------------F
Thus, we have it that the condition that is most sufficient to show that quadrilateral DEFG is a parallelogram is
∠GDE is supplementary to both ∠DEF and ∠FGD
Answer:
EG = 41
Step-by-step explanation:
the 2 base angles are congruent then the triangle is isosceles with the 2 legs being congruent , that is
7x + 9 = 5x + 23 ( subtract 5x from both sides )
2x + 9 = 23 ( subtract 9 from both sides )
2x = 14 ( divide both sides by 2 )
x = 7
then
EG = 6x - 1 = 6(7) - 1 = 42 - 1 = 41
The value of a right angle is 90°, equal 12x-9 to 90 to find x.
12x-9=90
Add 9 to both sides.
12x=99
Divide both sides by 12.
x=8.25
Answer:
8b-5=6b+23
8b-6b=23+5
2b=28
b=14
Step-by-step explanation: