Problem 1
The two angles 6x and 30 are vertical angles, so they are congruent or the same in measure.
6x = 30
x = 30/6
x = 5 is the answer
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Problem 2
The two angles form a straight angle which is 180 degrees. We consider them a linear pair (since they are adjacent and supplementary).
So,
5x+(3x+12) = 180
8x+12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21 is the answer
Answer:
1152
Step-by-step explanation:
4 boys and 4 girls be arranged in a row such that no two boys and no two girls are next to each other.
Two boys and two girls are not next to each other. so one boy and one girl are next to each other in two ways.
BGBGBGBG, GBGBGBGB
4 boys are arranged in 4! ways and 4 girls are arranged in 4! ways
So number of ways = 
Answer:
Step-by-step explanation:
<u>Functions have graphs or slopes.</u>
<u>This is not a function.</u>
<u>This is not on a graph or on a slope.</u>
Your answer is not a function.
<em><u>7/6 is the right answer.</u></em> First you had to add by the fractions. And it gave us, 
. Since the denominators are equal, combine the fractions. And it gave us, 
. Finally, you had to add by the numbers, and it gave us the answer is 2+5=7, or 7/6 is the right answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie
Answer:
never
Step-by-step explanation:
Intersecting planes are planes that intersect along a given line.
To explain this better, consider the following definitions:
i. A point: This is denoted by a dot and it is a location marked on a space or a plane.
ii. A line: This is the distance between two points. It is one-dimensional.
iii. A plane: This is a two-dimensional, flat surface with no thickness formed by points and extends infinitely.
Therefore, since intersecting planes intersect along a line, it is not possible that they intersect in exactly one point given that a line is the distance between points.
