Answer:
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Answer:
I think x = 5.25
Step-by-step explanation:
Since they are corresponding angles, they should be congruent.
90 = 16x - 6
84 = 16x
x = 5.25
Solving for the polynomial function of least degree with
integral coefficients whose zeros are -5, 3i
We have:
x = -5
Then x + 5 = 0
Therefore one of the factors of the polynomial function is
(x + 5)
Also, we have:
x = 3i
Which can be rewritten as:
x = Sqrt(-9)
Square both sides of the equation:
x^2 = -9
x^2 + 9 = 0
Therefore one of the factors of the polynomial function is (x^2
+ 9)
The polynomial function has factors: (x + 5)(x^2 + 9)
= x(x^2 + 9) + 5(x^2 + 9)
= x^3 + 9x + 5x^2 = 45
Therefore, x^3 + 5x^2 + 9x – 45 = 0
f(x) = x^3 + 5x^2 + 9x – 45
The polynomial function of least degree with integral coefficients
that has the given zeros, -5, 3i is f(x) = x^3 + 5x^2 + 9x – 45
Missing part of question:
Draw a tape diagram to show how much cake each of the five children received.
Answer:
See attachment
Step-by-step explanation:
Given
Required
Tape diagram to represent the scenario
Because one child is not hungry, the number of children to share the cake becomes 6.
So, first we calculate the share of each child.
See attachment for tape diagram
The tape diagram implies that:
or
or
Answer:
Step-by-step explanation:
in an isocelles trapezoid, we have the properties:
the lower base angles are congruent
the upper base angles are congruent
we have an angle= 44
the angle #3= 44 because of the properties
so the lower base angles are equal and equal to 44
sum of the angles in trapezoid=360
360-(44*2)=360-88=272
upper base angles are equal
272/2=136
angle1=angle2=136
