The bisector of the angle at A (call it AQ) divides the segment BC into segments BQ:QC having the ratio AB:AC. Use this fact to find x.
.. 9:15 = (2x -1):3x
.. 15(2x -1) = 9*3x . . . . . the product of the means equals the product of extremes
.. 30x -15 = 27x
.. 3x = 15
.. x = 5
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According to the value of x, the bisector AQ divides the triangle into two isosceles triangles: ABQ, ACQ.
Mean is just another word for average. To find the average of something you must add up all values and divide by the number of values in the set.
Sum of angles of a triangle = 180
a+b+c=180
a + (5a) + (4a-13) = 180
Simplify and solve for a:
10a-13=180
10a=193
a=19.3
b=5*19.3=96.5
c=4*19.3-13=77.2-13=64.2
Check: a+b+c=19.3+96.5+64.2=180 ok.
Answer:
y = 2.25x
Step-By-Step Explanation:
If I divide y by x, in any of the tables, it is always 2.25.
y ÷ x = 2.25
Then, I can multiply x on both sides to make the equation showing the proportional relationship.
y ÷ x × x = 2.25 × x
y = 2.25x
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Answer:
Step-by-step explanation:
As the two pools, Family pool and Dog pool, are similar, their interior angles are equal and their corresponding sides are in the same proportion:
LMNO ~ PQRS
so LM/PQ = MN/QR = NO/RS = OL/SP
substituting in the given values
4/2 = 6/c = a/5 = 7/b
c = 6/2 = 3
a = 5*2 = 10
b = 7/2 = 3.5Answer:
Step-by-step explanation:
As the two pools, Family pool and Dog pool, are similar, their interior angles are equal and their corresponding sides are in the same proportion:
LMNO ~ PQRS
so LM/PQ = MN/QR = NO/RS = OL/SP
substituting in the given values
4/2 = 6/c = a/5 = 7/b
c = 6/2 = 3
a = 5*2 = 10
b = 7/2 = 3.5
