Answer:
Step-by-step explanation:
<ACB = <ECD
These 2 angles are vertically opposite and are equal.
<B = <D
They are both right angles are therefore equal.
The answer is the AA postulate.
A
Note
ASA is a congruence postualate. If S is between two angles that can be shown to be corresponding and equal, then you will have 2 congruent triangles.
SSS if three sides of 1 triangle = 3 sides of a second triangle, then the 2 triangles are congruent. If the the three sides of one triangle are in a ratio with 3 sides of the other triangle, then the triangles could be similar, but that is not the case here.
SAS this is the terminology for congruence as well. We don't know enough to use it for similarity. Some sort of ratio would have to be mentioned to do that.
You are intended to use AA as your answer.
3^(-2) = 1/(3^2) = 1/(3*3) = 1/9
The rule used here is x^(-y) = 1/(x^y) to make the exponent positive.
3^2 turns into 3*3 because the exponent 2 tells us how many copies of the base '3' to multiply out.
Answer:
10
Step-by-step explanation:
5+5=10
Answer:
AA Similarity Postulate
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
step 1
Verify the proportion of the corresponding sides
substitute
----> is true
Corresponding sides are proportional
Triangle PQR is similar to Triangle PST
That means
Corresponding angles must be congruent
side QR is parallel side ST
and
----> by corresponding angles
--> by corresponding angles
so
PQR is similar to PST by AA Similarity Postulate
Answer:
Step-by-step explanation:
c + f = 16......c = 16 - f
340c + 910f = 9430
340(16 - f) + 910f = 9430
5440 - 340f + 910f = 9430
-340f + 910f = 9430 - 5440
570f = 3990
f = 3990/570
f = 7 <====== 7 first class tickets bought
c + f = 16
c + 7 = 16
c = 16 - 7
c = 9 <====== 9 coach tickets bought
