The angles in the triangles are the same, so you know the triangles are similar. Sides PQ and AB correspond as do sides PR and AC. Because the triangles are similar, you know that
PR/AC = PQ/AB
PR/24 = 5/20
Multiplying this equation by 24 gives
PR = 24*(5/20) = 6
The appropriate choice is ...
C. 6
Given Equations
- 5x+3y=8--(1)
- 4x+7y=34--(2)
Let it has solution (x,y)
Add both
It will also have same solution (x,y)
Answer: 30.09 kilometers
Step-by-step explanation: 11.4 + 9.69 + 9 = 30.09
Exact form: (8.3+6.3)^2-66.138
Decimal Form: 147.022
I don't really think that this is the answer to what you're looking for but I do think you made an error on your question.
Reading the question carefully, "<span>He draws the diameter of the circle through center P using a straight edge. Next he opens his compass to a width equivalent to the radius of the circle." - that implies that Mateo is still in the process of drawing the circle by which the equilateral is inscribed to.
The next steps should be:
*He should draw the upper and lower arcs using the compass opened to a width equivalent to the radius of the sircle.
*Make a vertical diameter using centroid P as basis.
*Draw two right triangles facing the opposite directions using the top most point by which the vertical diameter of the circle touches the top most circumference of the circle.
Doing these steps, Mateo will be able to draw an equilateral triangle inscribed in a circle.
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