Answer:
Triangle PTS is an equilateral triangle because all sides are equal lengths.
Angle TPS and angle TSP are equal because it is an equilateral triangle.
Triangle PQS and triangle SRP are congruent because of the side-angle-side theorem.
Segment PQ is congruent to segment SR because congruent sides of congruent triangles are congruent.
Segment PR is congruent to segment SQ because congruent sides of congruent triangles are congruent.
Triangle PQR and triangle SRQ are congruent because of the side-side-side theorem.
Answer:
21.8
Step-by-step explanation:
Answer:
I think the answer to X = 11.
Step-by-step explanation:
X - 2 = 9, correct?
11 - 2 = 9.
I hope this can help! Please correct me
if i got it wrong. :D
The first
thing to do is to find the roots.
The sum of
the roots, x1 + x2 = -b / a
<span>x1 + x2 = 3
/ 2 </span>
The product
of the roots, x1 * x2 = c / a
<span>x1 * x2 = 5 /
2 </span>
The AM means arithmetic mean and is calculated using the
formula:
AM = (x1 + x2) / 2
AM = (3 / 2) / 2
AM = 3 / 4 = y1
The HM means harmonic mean and is calculated using the
formula:
2 / HM = 1 / x1 + 1 / x2
or
2 / HM = (x1 + x2) / x1 * x2
Rewriting in terms of HM alone on the left side:
HM = 2 x1*x2 / (x1 + x2)
HM = 2 (5 / 2) / (3 / 2)
HM = 10 / 3 = y2
Creating an equation from y1 and y2:
(y – ¾) (y – 10/3) = 0
y^2 – 10/3 y – ¾ y + 30/12 = 0
y^2 - 49/12 y + 30/12 = 0 (ANSWER)
or
<span>y^2 – 4.083y + 2.5 = 0</span>
