Answer:
KM=9
JK= 12.69
Angle JKM=45 degrees
ML=18.97
MKL=60 degrees
Angle L=30 degrees
Step-by-step explanation:
Triangle JKM is a 45, 45, 90 degree triangle so that means both side lengths are equal and the hypotenuse is square root of 2 times a side length. This means, KM will be equal to 9 and JK will be equal to 9 times square root of 2. For triangle KML, you know that the triangle is a 30,60,90 degree triangle. This means the hypotenuse is a^2+b^2=c^2 where c is the hypotenuse. Since you know that a is 9 and c is 21, plug them into the equation to get 81+b^2=441. Subtract 81 from both sides to isolate b^2 to get 360. b^2 = 360. Then find the square root of 360 which is about 18.97. Therefore, b or ML is equal to 18.97. Also, because we know that MKL is a 30, 60, 90 triangle, we know that angle MKL is equal to 60 degrees. Because we know the angles of MKL(60) and KML (90), we do 180-90-60 to find angle L. Simplify 180-90-60 to 30 and that means that angle L is equal to 30 degrees. Since we know that JKM is a 45, 45, 90 degree triangle, we know that JKM is equal to 45 degrees. Therefore, KM is equal to 9, JK is equal to 9 times square root of 2 or 9 times 1.41 which is 12.69. Angle JKM is 45 degrees, ML is 18.97, angle MKL is 60 degrees, and angle L is 30 degrees.
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Answer:
Step-by-step explanation:
How does y change as x increases over a range?
As x increases from -6 to -4, y decreases from 0 to -7
It is a decreasing function in this range and for ranges less than x = -6 as well as the slope is nearly constant
As x increases from -4 to 0, y increases from -7 to 4
It is an increasing function in this range.
For x increasing from zero, y becomes less and less
It is a decreasing function in the range larger than x = 0
It’s A buddy! i just did this one for another student also
Answer:
it depends on how many tspns of salt
Step-by-step explanation:
Reflecting over the x axis means to perform the following tranformation:
So, you maintain the x coordinate, and change the sign of the y coordinate. The vertices become
Translating 3 units to the left means to perform the following transformation:
So, you maintain the y coordinate, and decrease the x coordinate by 3. The vertices become
So, as you can see, after these two transformation, the vertices A, B and C become A', B' and C'.
