Answer:
=
=
Step-by-step explanation:
For two or more triangles to be congruent this implies that when compared, there exists a relationship among their angles and sides. They would have exactly the same three sides and exactly the same three angles. The relationship can be expressed in the following form: SSS (side-side-side) when all three corresponding sides are congruent, SAS (side-angle-side) when two sides and the angle between them are congruent and ASA (angle-side-angle) when two angles and a side are congruent.
The corresponding sides reduced to lowest terms are: =
=
Answer:
2√3
Step-by-step explanation:
You recognize this as a 30°-60°-90° triangle, so you know the hypotenuse (R) is twice the length of the shortest side (√3).
The magnitude of R is 2√3.
_____
In case you haven't memorized the ratios for a 30°-60°-90° triangle, you can use trigonometry and the fact that ...
Sin = Opposite/Hypotenuse
sin(30°) = √3/R
R = √3/sin(30°) = √3/(1/2) = 2√3
Of course, doing this on your calculator will give a numerical answer, which you may not want.
Let's write 2 equations from the two statements given.
<em>Sarah spent 10 dollars on both oranges and apples</em>
<em />
Let the price of oranges be "x" and price of apples be "y", thus we can write:
Oranges cost 3 less than apples, thus we can say:
We can substitute this into the first equation and solve for y:
Thus, let's solve for x now,
We want the price of oranges (x), thus,
<em>Price of Oranges = $3.50</em>
Answer:
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Step-by-step explanation:
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