Answer:
Step-by-step explanation:
According to the diagram MK is the angle bisector of ∠LMJ in the triangle LMJ.
Use angle bisector theorem, which states:
- <em>an angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.</em>
<em />
Applied to the given triangle, the ratios are:
Use segment addition postulate and substitute known values to get:
- (LJ - JK)/JK = LM/JM
- (14 - JK)/JK = 50/48
- 50JK = 48(14 - JK)
- 50JK = 672 - 48JK
- 50JK + 48JK = 672
- 98JK = 672
- JK = 672/98
- JK = 6.86 (rounded)
Answer:
Step-by-step explanation:
Answer:
The answer to your question is x = 19.1 y = 14.52
Step-by-step explanation:
Process
1.- Use law of sines to find x
x / sin 71° = 18 / sin 63°
- Solve for x
x = 18 (sin 71) / sin 63
- Simplification
x = 18 ( 0.946)/0.891
x = 18(1.062)
- Result
x = 19.1
2.- Find the measure of the third angle
third angle = 180° - 63° - 71°
= 46°
- Use the law of sines to find y
y / sin 46 = 18 / sin 63
- Solve for y
y = 18 (sin 46) / sin 63
- Simplification
y = 18(0.719) / 0.891
y = 18(0.807)
- Result
y = 14.52
Which variable is dependent on another variable's value?
-The number of squares Rosa cuts the brownies into because it is dependent on the number of people attending the potluck.
Therefore, the independent variable is p, the number of people attending the potluck.
Hope this helps! :)
Answer:
2.4 g/cm^3
Step-by-step explanation:
Density is the ratio of mass to volume (as the units g/cm^3 tell you). If you cut the marble in half, each piece will have half the mass and half the volume, so the density remains unchanged. It will still be ...
2.4 g/cm^3
