<span>Based in the information given in the problem, you must apply the The Angle Bisector Theorem. Let's call the triangle: "ABC"; the internal bisector of the angle that divides its opposite side: "AP"; and "x": the longest and shortest possible lengths of the third side of the triangle.
If BP= 6 cm and CP= 5 cm, we have:
BP/CP = AB/AC
We don't know if second side of the triangle (6.9 centimeters long) is AB or AC, so:
1. If AB = 6.9 cm and AC = x:
6/5 = 6.9/x
x = (5x6.9)/6
x = 5.80 cm
2. If AC= 6.9 cm and AB= x:
6/5 = x/6.9
x = 6.9x6/5
x = 8.30 cm
Then, the answer is:
The longest possible length of the third side of the triangle is 8.30 cm and the and shortest length of it is 5.80 cm.</span>
Answer:
it is 2, 4, AND 5:)
Step-by-step explanation:
y=-3x+4
this is a line with slope -3 and y intercept of 4
the line is all the points that are the solutions to the equation
D.a line that shows the set of all solutions to the equation
Answer: it contains 200 grams of zinc.
Step-by-step explanation:
Ratio of zinc to copper is 4 to 15 = 4;15
Total ratio = 4+15= 19
We first find amount of both zinc and copper( the whole chemical) which is equal to
ratio of copper / total ratio x (the entire chemical--total grams of zinc and copper) =amount of copper
15/19 x X = 750
X= 750 X 19 / 15= 950 grams
To find amount of zinc in the chemical = ratio of zinc / total ratio x total amount of chemical
=4/19 x 950
=200 grams
