Answer:
(D)
Step-by-step explanation:
For there too be a parallelogram, you must have two pairs of opposite side parallel lines. This means that KN & LN must be parallel, and KL & NM have to be parallel.
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Answer:
60°, arms 6
Step-by-step explanation:
let the total arms = n
total generated angles in a regular polygon is = (n-2)×180
now,
(n-2)×180 = 120 n
or, 180n - 360 =120n
or, 60n = 360
or, n = 6
Linear pair angles have too add to 180, so
5x+9+3x+11=180
8x+20=180
8x=160
x=20
so angle S is 5*20+9 = 109
angle T is 3*20+11 = 71
Answer:
V( 3, -8 )
Step-by-step explanation:
Parable equation is of the form:
( x - h )² = 4p*(y - k)
In that expression, vertex has coordinates V ( h, k )
Then all we have to do is transform the given equation
y = x² - 6x + 1 or x² - 6x = y - 1 (1)
We can get a perfect square trinomial in the first member of the equation according to:
x² - 6x = ( x - 3 )² - 9
(x - 3 )² = x² - 6x + 9
By substitution en equation (1)
( x - 3 )² - 9 = y - 1
( x - 3 )² = y -1 + 9
( x - 3 )² = y + 8
( x - 3 )² = (y + 8 )
Then vertex coordinates are
V( 3 , -8)
<span>52√+23√ = 4.79
Approx 5.1 is the answer.
Hope that helps. -UF aka Nadia
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