Answer:
m∠PTQ = 40°
Step-by-step explanation:
From the picture attached,
Two lines PS and RQ are intersecting each other at a point T.
Vertical angles formed at the point of intersection T will be equal in measure.
m∠PTQ = m∠STR and m∠PTR = m∠QTS
Therefore, (x + 28)° = (2x + 16)°
28 - 16 = 2x - x
12 = x
m∠PTQ = (x + 28)°
= 12 + 28
= 40°
Therefore, measure of angle PTQ is 40°.
Answer:
y+9=21
Step-by-step explanation:
9 more than y equals 21.
You can solve <span>9/x-4/y=8 for x or for y but NOT at the same time.
Solving for x: </span><span>9/x-4/y=8 Mult all 3 terms by xy to eliminate the fractions.
9(xy)/x - 4xy/y = 8xy => 9y - 4x = 8xy, or 9y = 4x + 8xy = 4x(1+2y)
then 9y = x [ 4(1+2y) ]
9y
therefore x = ------------
4(1+2y)
Solve for y using a similar approach.
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Answer:
C = (A*P - 8.4Y -330T + 200I) / 100
Step-by-step explanation:
P = (8.4Y + 330T + 100C -200I ) / A
now we have to calculate completed passes C for given P, Y, T, I, A
A*P = 8.4Y + 330T -200I +100C
100C = A*P - 8.4Y - 330T + 200I
C = (A*P - 8.4Y -330T + 200I) / 100
I just solved the equation for C
y < - 8 or y > 4
inequalities of the form | x | > a always have solutions of the form
x < - a or x > a
we have to solve
y + 2 < - 6 or y + 2 > 6
y + 2 < - 6 ( subtract 2 from both sides )
y < - 8
or
y + 2 > 6 ( subtract 2 from both sides )
y > 4
these can be combined using interval notation
y ∈ (- ∞, - 8 ) ∪ (4, ∞ )
As a check
substitute chosen values of x from each interval
y = - 10 : | - 10 + 2 | = | - 8 | = 8 > 6 this is true
y = 12 : | 12 + 2 | = | 14 | = 14 > 6 which is also true
