Answer:
A Is congruent to A, B Is congruent to B, C Is congruent to C ... Each triangle is an isosceles triangle. ... B G and P X are labeled with a double tick mark The angle L B G and angle F P X are ... line segmentSection FormulasimilarmidpointSimilarity Theoremdilationcenter of ...
Step-by-step explanation:
onverse of the Triangle Proportionality Theorem dilation. Converse of the Angle Bisector Theorem scale factor. The Midpoint ...
Answer:
Step-by-step explanation:
The distance between A and B is given by the Pythagorean Theorem:
The angle of the line segment is:
The x-coordinate of the point is:
x≅ 2.7
Answer:
r = 3.5 * .5^(t/65); around 117.5 days
Step-by-step explanation:
r = remaining substance
t = time in days
The half life is 65 day, meaning the .5 must be put to a power of t/65.
The initial substance was 3.5, which we must substitute in.
After using logarithms to solve our new equation, we are left with t=(about)117.5 days for there to be less than 1 gram of substance remaining.
Answer:
(d) 2x +y = 8
Step-by-step explanation:
The answer choices are shown in "standard form," so the comparison to the given equation is easier if it is written in standard form. Add 2x to both sides:
2x +y = 5 . . . . . . given equation in standard form
The other equation in a system with no solution will look like this, but will have a different constant:
2x +y = 8 . . . . . . does not intersect the given equation
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<em>Additional comment</em>
All of the other equations shown will intersect the given equation. One way to show this is to use the given equation to substitute for y in the answer choices:
a: 2x -(-2x+5) = 8 ⇒ 6x -5 = 8 . . . one solution: x=13/6
b: x +2(-2x+5) = 8 ⇒ -3x +10 = 8 . . . one solution: x=2/3
c: x -2(-2x+5) = 8 ⇒ 5x -10 = 8 . . . one solution: x=18/5
d: 2x +(-2x+5) = 8 ⇒ 5 = 8 . . . no solution
Step-by-step explanation:
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