Answer:
A. (2+4)² +(5-8)²
Step-by-step explanation:
To find then distance between two points, we will follow the steps below;
write down the formula
D = √(x₂-x₁)²+(y₂-y₁)²
(-4, 8)
x₁=-4
y₁ = 8
(2,5)
x₂=2
y₂=5
we can now proceed to insert the values into the formula
D = √(x₂-x₁)²+(y₂-y₁)²
= √(2+4)²+(5-8)²
=√(6)² + (-3)²
=√36+9
=√45
Therefore the expression which gives the distance between two the two points is (2+4)² +(5-8)²
The next 3 terms would be: -14, -17, and -20 (the pattern is your -3 each time) the 100th term would be -279 i think because there is 93 spots left after the first 7 terms, so 93 x -3 = -279
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