Remark
If the lines are parallel then triangle RQS will be similar to triangle RTP
From that, all three lines in one triangle will bear the same ratio to all three lines of the second triangle.
Givens
PQ = 8
QR = 5
RS = 15
ST = x + 3
Ratio
QR/RP = RS/RT
Sub and solve
RP = 5 + 8
RP = 13
RT = 15 + x + 3
RT = 18 + x
5/13 = 15 / (18 + x) Cross multiply
5(18 + x) = 195 Remove the brackets on the left.
90 + 5x = 195 Subtract 90 from both sides.
5x = 105 Divide by 5
x = 105/5
x = 21 Answer <<<<<<<
Answer:
18.5÷11.99 is correct the answer is most likly option B
Answer:
34:12
Step-by-step explanation:
Answer: Infinite
Step-by-step explanation:
We know that in a triangle the sum of all the interior angles must be 180°.
The given angles 50º, 90º and 40º
The sum of the angles 50º+ 90º + 40º= 180°
Thus, a triangle is possible with the given measurement.,
Let there is another triangle with the given angles, then by AAA similarity criteria they are similar.
Similarly, all the triangles with the same measurements of the angles must be similar.
Therefore, there are infinite number of triangles can be possible with angles measuring 50º, 90º, and 40º.
<h3>
Answer: Choice D</h3><h3>
m = n</h3><h3>
b = sqrt(pi)*a</h3>
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Explanation:
Each circle has a radius of 'a'. So r = a.
The area of each circle is pi*r^2 = pi*a^2
The area of each square with side length b is b^2
The two stacks have the same volume only when the circle area is equal to the square area, so whenever pi*a^2 = b^2 is true.
Solving for b leads to b = sqrt(pi*a^2) = sqrt(pi)*a
The stacks must also be the same height for the volumes to be the same, so m = n as well.