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:
6.36l
Step-by-step explanation:
We compute first the volume:
V=pi×h/3×(R²+r²+rR), where h=20cm is the height, R=24/2=12cm is the top radius, r=16/2=8cm is the bottom radius.
We get: V=pi×20/3(12²+8²+12×8)=
20×pi/3(144+64+96)cm³
V=20×pi/3×304=6363.73cm³
In dm³ we have (divide by 1000) V=6.36dm³
By definition, 1dm³=1l, so the capacity is 6.36l
Answer: 
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" the y-intercept.
Since the given line has a y-intercept at (0,-15), then:
The formula for calculate the slope is:
Knowing that the given line contains the points (0,-15) and (-4,-3), we can calculate the slope. This is:
Substituting values into , we get that the equation of the line in Slope-Intercept form is:
