Answer:
Step-by-step explanation:
The two horizontal line segments are the parallel sides of the trapezoid.
∠1 and ∠2 are corresponding angles of a transversal across parallel lines, so
∠1 is congruent with ∠2
Answer:
B
C
F
D
H
A
G
E
Step-by-step explanation:
Ok. They are trying to reconstruct the smaller looking triangle in the bigger triangle using angle A as the common angle.
The first statement is always the given.
Second they constructed line segment XY into the bigger triangle so that XY is parallel to BC.
Third, from the construction of the parallel lines we can now find corresponding angles that are congruent. This would be the use of F.
Since we have all three angles in triangle AXY and triangle ABC, then the construction of the smaller triangle we made inside the bigger triangle is similar to the bigger triangle. So we have the triangles are similar. You could say E or D here in my opinion. This is choice D.
Fifth the creation of those fractions of sides being equal comes from us knowing the corresponding sides of similar triangles are proportional. This is choice H.
Things looked cut off for the sixth thing so I can't fully read it, but it is possible a substitution has occured.
The seventh thing is a congruence statement which can be proven by a congruence postulate. The only one listed is SAS. So that is G.
The last thing, since the triangle construction is congruent to the smaller triangle then we know the smaller triangle is also similar to the bigger triangle since the bigger one is also similar to the construction we made. I really think E and D is interchangeable. Choice E goes here.
36.96 with the formula 0.24 * 154 = 36.96
The debt ratio on the Murk is 45%
<span>The debt ratio on the Mini is 90% </span>
<span>The average between the two is 63% </span>
<span>Payoff are estimates only. Paying $375/mo with the highest interest rate first will have the Mini @ $50/mo paid off by Jul 2016 and the Murk @ $326/mo paid off by Sep 2016. What you'll do is pay the minimum on the lowest interest rate card and apply the remainder of the $375 budget to the highest interest rate card. When the Mini is paid off, combine that payment with the Murk and continue wit the $375 payments.</span>