Answer:
13. x = 7 ; Converse : Alternate interior angles are equal .
14. x=12; Converse used : Linear pair
15. x = 23; Converse: Corresponding angles are equal
Step-by-step explanation:
13.
Refer the attached figure
Given: q || r
(Alternate interior angles )
So, 15x+3=108
15x=108-3
15x=105

x=7
So, x = 7 ; Converse : Alternate interior angles are equal .
14.
Refer the attached figure
Given q||r
(Alternate interior angles
So,
Now
(Linear pair)
So,7x-8+11x-28=180
18x-36= 180
18x=216

x=12
So, x=12; Converse used : Linear pair
15.
Refer the attached figure
Given q||r

(corresponding angles)
90+2x=5x+21
90-21=5x-2x
69=3x
23=x
So, x = 23; Converse: Corresponding angles are equal
Answer: 42
Step-by-step explanation:
The total degrees a triangle can have is 180
180-109-29 = 42
1. You will need 3 packs of tulips and 2 packs of geraniums.
2. You should have 18 flowers of each kind
Explanation:
1. To find the number of packets, the easiest way (in my opinion) would be to find the LCM (least common multiple)
To do so, first, you would need to list the factors of 6 and 9 in order
6: 6 12 18 24 30
9: 9 18 27 36 45
Then, you can find the LCM by finding the same number that comes first in each list (18)
2. To find how many packets, all you have to do is divide 18 by 6 and 18 by 9 because there are 6 flowers in one packet, and 9 flowers in the other.
Hope this helps!