Answer:
DI = 38
Step-by-step explanation:
Δ EHC and Δ DIC are similar and ratios of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
2DI = 76 ( divide both sides by 2 )
DI = 38
They are alternate Exteror angles and internet but as for the question they would be corresponding angles
The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.
<u>Step-by-step explanation:</u>
Let us consider the soda bottles as x and juice bottles as y.
From the given data we can derive 2 equations,
35x+15y= 410. .....(1)
x=y+6. ....(2)
Substitute equation (2) in (1),
35(y+6)+15y=410.
35y+ 210+15y=410.
50y+210=410.
50y=410-210.
50y=200.
y=4.
Substitute y value in equation (2),
x=4+6.
x=10.
The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.
This is 6P4
the number of permutations of 4 from 6. 6! / 2!
= 6*5*4*3* 2 / 2 = 360
Your answer is in the picture.
