Answer:
m<x=146
Step-by-step explanation:
its a supplementary angle, meaning both angles add up to 180.
So we subtract 34 from 180 which is 146.
180-34=146
<h3>Answer:</h3><h3>41</h3><h3>Step-by-step explanation:</h3><h3>multiplication and addition</h3><h3>5x4=20</h3><h3>7x3=21</h3><h3>20+21=41</h3>
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Answer:
The coordinates of the ordered pair of the Image X' are: X'(-6, -1)
Step-by-step explanation:
When a point A(x, y) is rotated 90° counterclockwise around the origin, we flip x and y and reverse the sign of y.
Thus,
The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:
A(x, y) → A'(-y, x)
In our case, the point X (-1, 6) is rotated 90° counterclockwise about the origin. Thus, the coordinates of P' will be:
A(x, y) → A'(-y, x)
X (-1, 6) → X'(-6, -1)
Therefore, coordinates of the ordered pair of the Image X' are: X'(-6, -1)
Answer:
5sqrt(5) meters
Step-by-step explanation:
Picture a right triangle with one horizontal leg and one vertical leg, as well as the hypotenuse. Walking 10 meters west is represented horizontally. Likewise, walking 5 meters south is represented vertically. This right triangle thus has two legs of lengths 10 m and 5 m respectively; according to the Pythagorean Theorem, the length of the diagonal (which represents the distance from home) is d = sqrt(10^2 + 5^2) = sqrt(125) = 5sqrt(5). Round this off to the nearest tenth m (meter or mile) after evaluating the square root on a calculator.
