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
Ratio of height of the flag pole to the length of its shadow = 40:9.6 = 25:6
Ratio of height of the building to the length of its shadow = x:48 = 25:6
x/48 = 25/6
x = (48 x 25)/6 = 1200/6 = 200
Therefore, the height of the building is 200 feet.
Answer:
Equation: 4x+15=3(x+6)
Step-by-step explanation:
Answer:
he could do 6 row of 4, 8 rows of 3, 12 rows of 2
Step-by-step explanation:
15+9=24
6*4=24
8*3=24
12*2=24