Do the values in the table represent a proportional relationship?
1 answer:
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y = 90°
Solution:
The reference image for the answer is attached below.
The sum of opposite interior angles is equal to the exterior angles.
m∠BAC + m∠ACB = 110°
m∠BAC + 70° = 110°
m∠BAC = 110° – 70°
m∠BAC = 40°
m∠BAD + m∠DAC = 40°
x + x = 40°
2x = 40°
Divide by 2 on both sides of the equation.
x = 20°
In triangle DAC,
Sum of all the angles of a triangle = 180°
m∠DAC + m∠ACD + m∠CDA = 180°
20° + 70° + m∠CDA = 180°
90° + m∠CDA = 180°
m∠CDA = 180° – 90°
m∠CDA = 90°
∠CDA and y lies on the straight line. So they form a linear pair.
y + m∠CDA = 180°
y + 90° = 180°
y = 180° – 90°
y = 90°
The value of y is 90°.
Answer:
quadratic
Step-by-step explanation:
The x-values are sequential, so we can look at the y-values.
Differences from one to the next are ...
-7, -1, 5, 11, 17
And the differences of these numbers are ...
6, 6, 6, 6
When <em>second</em> differences are constant, the sequence can be produced by a <em>second</em>-degree (quadratic) polynomial.
__
Here, that polynomial is ...
y = 3x² +2x -1
The regression functions of a graphing calculator can help you find the appropriate formula.
