PLZ HELP ME PLZZZ 15 PTS Mr. Rodriguez asked 60 randomly chosen students from each grade level at Willowbrook School about their
2 answers:
Answer:
He made a reasonable inference.
Step-by-step explanation:
Rodriguez asked 60 randomly chosen students about their favorite types of reading materials.
Of those 60 students, 12 chose science fiction.
In percent this is about %
Mr. Rodriguez drew an inference that about 20% of middle school students prefer to read science fiction.
We can see that this inference is correct. He made a reasonable inference as his sampling was non biased and completely random.
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Answer: a. 90°
Step-by-step explanation:
We know that the in a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc.
In the problem∠XYZ is the inscribed angle
∠XYZ=
⇒ ∠XYZ=
Since XZ is a diameter of the circle which is a line segment, thus ∠XZ=180°
∴ ∠XYZ=
∴ ∠XYZ=
Therefore, a. 90° is the measure of ∠XYZ.
Answer: Option D
Step-by-step explanation:
In this question we use properties of parallelogram and angle sum property of a triangle.
In parallelogram ABCD
As, we know that opposite angles of parallelogram are equal
Therefore,
Now, in triangle ADC
We know that sum of all the angles of a triangle is
Subtracting 97 from both sides we get
Measure of
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:
The given line is:
So we have:
We find
So, a line perpendicular to the one given is of the form:
We substitute the given point to find "b":
Finally we have:
In point-slope form we have:
ANswer: