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spayn [35]
3 years ago
5

Point M is the midpoint of AB. If the coordinates of M are (2,8) and the coordinates of A are (10,12),what are the coordinates o

f B?
Mathematics
1 answer:
ElenaW [278]3 years ago
4 0

~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{10}~,~\stackrel{y_1}{12})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x + 10}{2}~~~ ,~~~ \cfrac{ y + 12}{2} \right)~~=~~\stackrel{M}{(2,8)}\implies \begin{cases} \cfrac{x+10}{2}=2\\[1em] x+10=4\\ \boxed{x=-6}\\[-0.5em] \hrulefill\\ \cfrac{y+12}{2}=8\\[1em] y+12=16\\ \boxed{y=4} \end{cases}

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Which describes an isometric transformation? dilation/ rotation/ side length change/ angle change
Westkost [7]

Answer:

  rotation

Step-by-step explanation:

"Isometric" means all measures stay the same.

  • dilation changes all lengths
  • <em>rotation changes no measures -- an isometric transformation</em>
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7 0
3 years ago
Write and solve an equation to find the unknown angle.
Julli [10]
There's many properties you can use to find an unknown angle.

There are too many to lists but one core example would be an isosceles triangle that has two adjacent sides and angles.

Let's say that the sides of an isosceles triangle are any number "x"

now since two sides of the triangle are the same we can add these two x's together.

x+x = 2x

now the other side of the triangle can be anything you like. We can call it 4x for this example.

now if we add them all together we'll get 4x+2x=6x

Now since the angles of a triangle add up to 180 degrees
we can equate 6x=180 leaving x to be 30.

Now since x belongs to both sides of the triangle we can say that both angles are congruent as well because the two sides of the triangle are congruent. This is a known triangle law.

Since both angles are now 30 degrees this will leave us with 2(30) = 60

now if we subtract 180 - 60 we'll get 120 which is the remainder of the 3rd angle of the side that corresponds with 4x.
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5 0
4 years ago
A natural number greater than 1 that has only itself and 1 as factors is called alan
lina2011 [118]
I think the answer should be divisible because you can’t really divide 1 without getting the same # your dividing by.
8 0
3 years ago
Read 2 more answers
What is n/7 = 3/22 ?
gayaneshka [121]

Answer:

The answer is 21/22

Step-by-step explanation:

n/7=3/22

then you cross-multiply

we have 22n=21

divide both sides by 22 to make n the subject of formula

n=21/22

6 0
3 years ago
4.2z + 3.8z simplify the expression ​(Use the operation symbols in the math palette as needed. Simplify your answer. Use whole n
alexandr1967 [171]

Answer:

8z

Step-by-step explanation:

Since these are like terms, add the numbers together and then put the z on.

4 0
3 years ago
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