Answer:
x = 28
Step-by-step explanation:
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
Then x/(x +10) = 42/(42 +15)
x(57) = 42(x + 10)
57x = 42x + 420
15x = 420
x = 28
Answer:
Step-by-step explanation:
Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²
From V = πr³ + 7πr²;
factor out the common variable
V = πr³ + 7πr²
V = πr²(r+7) ... 1
The original volume of a cylinder V = πr²h .... 2 where;
r is the radius of the cylinder
h is the height of the cylinder
Equating equation 1 and 2, we will have;
πr²(r+7) = πr²h
Divide both sides by πr²
πr²(r+7)/ πr² = πr²h/ πr²
r+7 = h
h = r+7
<em>Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r</em>.<em> The statement means that the height of the cylindrical soup is 7 more than its radius.</em>
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Itzzzzz 13/15 in simplest form
Answer:
A. 3, 0, -3, -6
Step-by-step explanation:
The sequence with constant first differences is an arithmetic sequence. The sequence of A has a common difference of -3, so is an arithmetic sequence.
Answer:
2: 99° 3: 81° 4: 81°
Step-by-step explanation:
2 is supplementary to 1 so subtract 81 from 180 = 99.
3 is vertical angle with 1 so they are equal
4 is alternate interior angle with 3 so they are equal
hope this helps stay safe :)
