The HL Postulate
You know that the two hypotenuses are congruent and that the two triangles each contain a shared segment in the middle (so by the reflexive property they are congruent). You have two congruent hypotenuses and two congruent legs, so you can conclude congruency by HL.
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Answer:
18/5000 or 9/2500
Step-by-step explanation:
Since we know both male and female nursing home residents, we can just add the two together to find the total.
Answer:
Step-by-step explanation:
Answer: f(x) = 1,024(0.50)^x
Step-by-step explanation:
Hi, to answer this question we have to apply a decreasing rate formula:
f(x)= P (1 - r) ^x
Where:
p = original number of players
r = decreasing rate (decimal form, since half of the players are eliminated the percent decrease is 50%)
x = rounds
f(x) = number of players after x rounds
Replacing with the values given:
f(x) = 1,024(1-50/100)^x
f(x) = 1,024(1-0.5)^x
f(x) = 1,024(0.5)^x
Answer:
Slope intercept: y = -3/2x + 1
Point slope: y + 2 = -3/2 * (x - 2) [Forgot to add the work for this, I will add it if you need it, feel free to ask.]
Step-by-step explanation:
m = (change in y)/change in x)
But also
m = y_2 - y_1/x_2 - x_1
So lets substitute
m = 1 - (-2)/0 - (2)
Lets find the slope
m = 3/0 - (2)
m = 3/-2
m = -3/2 (Moved the negative)
Now we find the value of b using the equation of a line.
y = mx + b
y = (-3/2) * x + b
y = (-3/2) * (2) + b
-2 = (-3/2) * (2) + b
Now we find the value of b
Lets rewrite
-3/2 * 2 + b = -2
Cancel the CF of 2
-3 + b = -2
Move the terms without b to the right
b = -2 + 3
b = 1
Now we substitute our values of the slope and y-int into y = mx + b to find the equation.
y = -3/2x + 1