Answer:
Step-by-step explanation:
Magazine:
2 answers:
You might be interested in
Check the first picture below.
for a parallelogram, it has to have two pairs of parallel sides, so BC || AD and AB || CD.
if two lines are parallel, they have the same slope, namely the <u>same rise and run</u>.
notice, the line BC has a run of 6 and a rise of 1, <u>arrows in red</u>, therefore, AD must also have a run of 6 and a rise of 1, so if we move from A 6 units over and 1 up, we'd end up at point D.
now, for part atop
Check the 2nd picture, in a parallelogram, opposite sides are parallel and opposite angles are equal, so if WLP is 144°, then PNW is also 144°.
in a parallelogram, diagonals bisect each other, so each cut the other in halves, so if PM is 9 then MW is also 9 and thus PW is just 9+9=18.
now, about QRST.
notice what we said about a parallelogram above, thus
so then TQ ==> 2(8) + 12 ==> 16 + 12 ==> 28.
∡Q ==> 8(12) + 13 ==> 96 + 13 ==> 109°.
and since in a parallelogram, adjacent interior angles add up to 180°, then ∡Q + ∡T = 180°.
∡T ==> 180 - 109 ==> 71°.
I added a screenshot with the complete question
Answer:
x = 3
y = 9
Explanation:
1- getting the value of x:
We are given that:
side AB is congruent to side DF. This means that:
AB = DF
3(2x+10) = 12x + 12
6x + 30 = 12x + 12
12x - 6x = 30 - 12
6x = 18
x = 18/6
x = 3
2- getting the value of y:
We are given that:
side BC is congruent to side FG. This means that:
BC = FG
2y + 12 = 2(2y-3)
2y + 12 = 4y - 6
4y - 2y = 12 + 6
2y = 18
y = 18/2
y = 9
Hope this helps :)
Answer:
x = 3
y = 9
Explanation:
1- getting the value of x:
We are given that:
side AB is congruent to side DF. This means that:
AB = DF
3(2x+10) = 12x + 12
6x + 30 = 12x + 12
12x - 6x = 30 - 12
6x = 18
x = 18/6
x = 3
2- getting the value of y:
We are given that:
side BC is congruent to side FG. This means that:
BC = FG
2y + 12 = 2(2y-3)
2y + 12 = 4y - 6
4y - 2y = 12 + 6
2y = 18
y = 18/2
y = 9
Hope this helps :)