Given: AB || DC and m2 =m24 Prove: AD BC
B
1
2
4
D
С
Statements
Reasons
1.
1
given
2
2. given
3
4
5
6
7
AB DC
m 22=m24
21 and 24 are supplements
?
mZ1+mZ2= 180°
21 and 22 are supplements
AD BC
3
same side interior angles thm.
4. def. of supplementary angles
5 substitution
6. def. of supplementary angles
7. converse same side interior angles thm.

Step 1: 6x-10=1; step 2: 6x=11

There should only be 1 solution

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Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )