Mayumi is constructing a line through point P that is perpendicular to RS←→. She places her compass on point P to construct an a
rc. What must be true about the width of the compass opening when Mayumi draws the arc?
A. It must be equal to PS .
B. It must be greater than 12RS.
C. It must be wide enough so that the arc intersects RS←→ in two points.
D. It must be equal to PR .
A. It must be equal to PS .
B. It must be greater than 12RS.
C. It must be wide enough so that the arc intersects RS←→ in two points.
D. It must be equal to PR .
2 answers:
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Answer:
The condensed log equation is:
Step-by-step explanation:
We use these following logarithm properties to solve this question:
In this question:
So
Becomes:
Now applying the addition and subtraction properties, we have:
The condensed log equation is:
Lets remember the property "alternative-interior angles" when we have parallels lines:
Given two paralles lines, the following is true:
In our question, we have:
We know that the angles J + P + K=180
So, the triangles have all the angles the same, so they are similar by angle-angle-angle, and they have one side congruent, AC=CD, so the triangles are congruents.
