Answer:
Hence proved △ABE∼△CBF.
Step-by-step explanation:
Given,
ABCD is a parallelogram.
BF ⊥ CD and
BE ⊥ AD
To Prove : △ABE∼△CBF
We have drawn the diagram for your reference.
Proof:
Since ABCD is a parallelogram,
So according to the property of parallelogram opposite angles are equal in measure.
⇒1
And given that BF ⊥ CD and BE ⊥ AD.
So we can say that;
⇒2
Now In △ABE and △CBF
∠A = ∠C (from 1)
∠E = ∠F (from 2)
So by A.A. similarity postulate;
△ABE∼△CBF
Answer:
Number of t-shirts Trevor have are 16
If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.
Step-by-step explanation:
Let, the number of t-shirts Trevor has = x and number of t-shirts Marissa has = y.
Since, they both have total of 26 t-shirts. We get,
Moreover, Marissa has 6 t-shirts less than that of Trevor.
So, we have,
On solving the system of equations, we get,
implies
implies
i.e. 2x= 32 i.e. x= 16.
So, implies
i.e y= 10.
Hence, the number of t-shirts Trevor and Marissa have are 16 and 10 respectively.
That is, If Trevor have 16 t-shirts, than Marissa will have 10 t-shirts.
