How can you distinguish the base of an isosceles triangle from a leg?
2 answers:
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Answer:
Step-by-step explanation:
We need to find m ∠EGD.
From the given figure, we can see that, ∠BGA & ∠EGD are vertically opposite angles (opposite angles that share the same vertex ⟶ G).
Also, vertically opposite angles are equal to each other.
Given, ∠BGA = 30°
So, ∠EGD = ∠BGA = 30°.
Answer:
The cost of each pens is $1.19
The cost of each pencils is $0.39
Step-by-step explanation:
Given as :
The number of pens bought by Gabby = 4
The number of pencils bought by Gabby = 5
The number of pens bought by Sydney = 5
The number of pencils bought by Sydney = 3
The total cost of Gabby items = $6.71
The total cost of Sydney items =$7.12
Let The cost of each pens = x
And The cost of each pencils = y
Now, According to question
For Gabby
4 x + 5 y = $6.71 .............1
For Sydney
5 x + 3 y = $7.12 .............2
Now, Solving both equations
5 × (4 x + 5 y) - 4 × (5 x + 3 y) = 5 × 6.71 - 4 × 7.12
Or, 20 x + 25 y - 20 x - 12 y = 33.55 - 28.48
Or, (20 x - 20 x) + (25 y - 12 y) = 5.07
or, 0 + 13 y = 5.07
∴ y =
I.e y = $0.39
So, The cost of each pencils = y = $0.39
Again , put The value of y in eq 1
I,e 4 x + 5 y = $6.71
Or, 4 x + 5 × 0.39 = 6.71
or, 4 x + 1.95 = 6.71
or, 4 x = 6.71 - 1.95
or , 4 x = 4.76
∴ x =
I.e x = $1.19
The cost of each pens = x = $1.19
Hence The cost of each pens is $1.19
And The cost of each pencils is $0.39 Answer