In the diagram AB is parallel to DC.
Angle ABC = 70°
Angle ACD = 55°
Not drawn accurately
Show that triangle ABC is isosceles.
You must give reasons in your working.

Since m<BCA=m<CAB=55°, it follows that |AB|=|AC|, this means triangle ABC is isosceles.

Step-by-step explanation:

In the diagram AB is parallel to DC.

This means that, by the alternate interior angles theorem?

Also the sum of angles in a triangle should be 180° .

Since m<BCA=m<CAB=55°, it follows that |AB|=|AC|

Hence triangle ABC is isosceles.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.