Answer:
No solution
Step-by-step explanation:
Simplify the equation to solve for x.
-9(x+6)=-9x+108 Distribute
-9x-54=-9x+108 Combine like terms
+9x +9x
0-54=108 Combine like terms
+54 +54
0=162 No solution
The answer is A
1 1/2 *2 *1 1/2 = 4.5 or 4 1/2
<h3>
Step-by-step explanation:</h3>
The point of intersection of the perpendicular bisectors of a triangle is the circumcenter, the center of the circle that contains the three triangle vertices.
If that center is on one side, that side must be a diameter of the circle. The diameter cuts the circle into two arcs, each of which measures 180°.
The third vertex of the triangle and its two legs form an inscribed angle that subtends an arc of 180°. The measure of that angle is half the measure of the arc, so the angle measures 90° and is a <em>right angle</em>.
A triangle with a right angle is a right triangle. QED
Answer: The HL Theorem.
Step-by-step explanation: We are given that the triangles have a congruent 90 degree angle and two congruent sides. This would indicate towards SAS but in this case, that doesn't work because the angle is not in between the two congruent sides. We know that the triangles are right, and that their hypotenuses are congruent and that one leg is congruent. Thus, the answer must be HL (hypotenuse & leg).
Answer:
Step-by-step explanation:
You are given most of the equation that you need to solve. To find the number of years it will take to have 2000, sub in 2000 for A and solve:
and begin by dividing away the 1000 on both sides to get
now we have to take the natural log of both sides:
. Taking the natural log allows us to bring the t down out front:
ln(2) = t ln(1.0512) and now divide both sides by ln(1.0512):
and do this on your calculator to get
t = 13.9 years
