Answer: x=17
Step-by-step explanation:
(5 + x)/(16 + x) = 2/3
Cross multiply to get:
15+3x = 32 + 2x
<u>Answer</u><u>:</u>
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<u>Hope </u><u>you</u><u> could</u><u> get</u><u> an</u><u> idea</u><u> from</u><u> here</u><u>.</u>
<u>Doubt</u><u> clarification</u><u> </u><u>-</u><u> </u><u>use </u><u>comment</u><u> section</u><u>.</u>
Step-by-step explanation:
because VW || YZ, the 2 triangles are similar.
this is given by the rules of equal angles of intersecting lines with parallel lines. Z to V and Y to W would be such intersecting lines.
and therefore, the angle at W is the angle at Y, the angle at V is the angle at Z. and therefore both angles at A are equal.
so, for similar triangles the scaling factor between corresponding pairs of sides is the same for all sides.
e.g. the same scaling factor that converts 7.2 to 12, converts then also x to x+4.
7.2 × f = 12
f = 12/7.2 = 12/ 72/10 = 120/72 = 10/6 = 5/3
x × 5/3 = x + 4
5x = 3x + 12
2x = 12
x = 6
A to Y = x = 6
W to A = x + 4 = 6 + 4 = 10
the complete question is
Find two numbers whose difference is 46 and whose product is a minimum
Let
x------->larger number
y-------> smaller number
P-------> product of the two numbers
we know that
-----> equation 1
-----> equation 2
substitute equation 1 in equation 2
![P=x*[x-46]\\ P=x^{2} -46x](https://tex.z-dn.net/?f=%20P%3Dx%2A%5Bx-46%5D%5C%5C%20P%3Dx%5E%7B2%7D%20-46x%20)
using a graph tool
see the attached figure
Find the value of x for that the product P is a minimum
the vertex is the point 
that means, for 
the product is a minimum 
find the value of y
therefore
the answer is
the numbers are 
and 
Answer:
Her speed is 9 miles per hour
Step-by-step explanation:
18 divided by 2= 9
so she can drive 9 miles in an hour
