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.
Answer:
36%
Step-by-step explanation:
the <em>complement </em>of it raining on at least one of these days = it not raining on any day
this means that if it does not rain on at least one day, it does not rain on any day
thus,
1 - probability of it not raining at all = probability it rains at least one day
probability it doesn't rain on monday = 1- 20% = 80%
probability it doesn't rain on tuesday = 1 - 20% = 80%
probability it doesn't rain on monday AND it doesn't rain on tuesday = probability it doesn't rain at all
P(A and B) = P(A) * P(B) = 0.8 * 0.8 = 0.64
1 - 0.64 = 0.36 as our answer
Answer:
See the procedure
Step-by-step explanation:
we know that
<u>The Triangle Inequality Theorem</u>, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
Let
a,b,c the lengths side of triangle
c is the greater side
The perimeter is equal to
P=a+b+c
P=36 cm
If c=18 cm
then
a+b=18
Applying the Triangle Inequality Theorem
a+b > c
18 > 18 ----> is not true
therefore
Principal Aranda is incorrect
The larger side cannot measure 18 cm
The largest side must be less than 18 cm
(6,-5) (6,-8)
y2-y1/x2-x1
-8+5/6-6
-3/0
Undefined should be the answer. Hope this helped (:
