<u>Answer:</u>
ΔLNM is proved as isosceles triangle. Below for explanation.
<u>Step-by-step explanation:</u>
We know that:
- AMBX = Square
- Squares have equal sides
Since AMBX is a square, AL must equal to BN because they are the extra lengths of the square. The lengths of the square are AM, MB, BX, XA.
- Side of square + Extra length = Side of triangle
This can tell us that the two sides of the triangle are equal. We also know that if 2 sides of a triangle are equal, it is classified as an isosceles triangle. Hence, ΔLNM is proved as an isosceles triangle.
Hoped this helped!
It is all real numbers because when graphing it, it would go infinitely in both directions.
Answer: C
Step-by-step explanation:
If you want to survey 100% of the students, and 20% has been already surveyed, 200 students would chose pop as their favorite genre of music because 41 x 5 = 205, which is closest to 200.
Angle SQN = 66 degrees (given)
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Use the inscribed angle theorem to get
Minor Arc SN = 2*(angle SQN)
Minor Arc SN = 2*(66)
Minor Arc SN = 132 degrees
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Arc PSN is a semicircle so it is 180 degrees, meaning that...
Arc PSN = (minor arc PS) + (minor arc SN)
180 degrees = (minor arc PS) + (132 degrees)
180 = (minor arc PS) + 132
180 - 132 = (minor arc PS) + 132 - 132
48 = minor arc PS
minor arc PS = 48 degrees
central angle RTP = minor arc PS = 48 degrees
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Focus on triangle PTR; isolate angle PRT
(angle TPR) + (angle PRT) + (angle RTP) = 180
(90) + (angle PRT) + (48) = 180
(90+48) + (angle PRT) = 180
138 + (angle PRT) = 180
138 + (angle PRT) - 138 = 180 - 138
angle PRT = 42 degrees
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Final Answer:
The measure of angle PRT is 42 degrees
Answer:
y = -4x -6
Step-by-step explanation:
The given segment has a rise if 1 for a run of 4, so a slope of ...
m = rise/run = 1/4
The desired perpendicular has a slope that is the negative reciprocal of this:
m = -1/(1/4) = -4
A point that has a rise of -4 for a run of 1 from the given midpoint is ...
(-1, -2) +(1, -4) = (0, -6) . . . . . . . the y-intercept of the bisector
So, our perpendicular bisector has a slope of m=-4 and a y-intercept of b=-6. Putting these in the slope-intercept form equation, we find the line to be ...
y = mx +b
y = -4x -6
