What is the measure of an angle that is nine times its supplement? degrees?

1 answer:

3 0

Supplementary angles have a sum of 180°.
Let's say one of these angles has a measure $x$ . The problem states that its supplemenbt is nine times this, so it has measure $9x$ .
We know that these angles together equal 180°, so we can write $x+9x=180$ .

We can solve for x.
$10x=180\\x=18$

If x = 18, then the has a measure of $9(18)$ , or 162°.

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Find 1 inch:
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1 inch represents 1 ÷ 0.25 miles
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Read 2 more answers

Point A (6,2) is translated using the vector <-5,2>. Where is the new point located?

Dominik [7]

<h3>Answer: (1,4)</h3>

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Explanation:

The notation <-5,2> is the same as writing the translation rule $(x,y) \to (x-5,y+2)$

It says: move 5 units to the left and 2 units up

The point (6,2) moves to (1,2) when moving five units to the left. Then it ultimately arrives at (1, 4) after moving 2 units up. You could move 2 units up first and then 5 units to the left later on, and you'd still arrive at (1, 4). In this case, the order doesn't matter (some combinations of transformations this won't be the case and order will matter).

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Or you could write out the steps like so

$(x,y) \to (x-5, y+2)\\\\(6,2) \to (6-5, 2+2)\\\\(6,2) \to (1, 4)\\\\$