Working attached below:
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Answer:
the first and the second answer
Step-by-step explanation:
Answer:
z= 13
x= 36
y= 18
Step-by-step explanation:
Solving for z.
We know that 108 degrees and (8z+4) are alternate exterior angles, so they are equal to each other.
We can set both of those angles equal to each other, and solve for our missing side, z.
108= 8z+4
104=8z
z= 13
Solving for x.
We know that 108 degrees and (3x) are alternate interior angles, so they would equal each other.
We can set both of these angles equal to each other, and solve for our missing side, x.
3x=108
x= 36
Solve for y.
We know that (4y) and (3x) are same side interior angles, so they would make 180 degrees. We know that (3x) would equal 108.
4y+108=180
4y= 72
y= 18
Answer: The slant height of the cone is 65.6 m
Step-by-step explanation:
Given: The diameter of a cone = 10 m
Surface area of cone = 190.6 m²
To find: Slant height
Diameter of cone = 10 m
Therefore Radius of cone = 
As we know that surface area of a cone is given by

Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.
Let Slant height = l
So we have

Hence the slant height of the cone is 65.6 m
Answer:
6.
Step-by-step explanation:
Lucy studies one less (-1) than twice the number of hours a week that rose studies (2 * R), lucy studies 11 hours a week. What we do is add 1 hour to lucy's 11, to get 12, then divide by 2 as lucy studies twice the hours. 12 / 2 = 6.