Write an informal proof to show triangles ABC and DEF are similar.
1 answer:
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SOLUTION
The area of a parallelogram is given as:
From the given figure
Substitute these values into the equation
Therefore, the area of the parallelogram is
Answer:
17.3
Step-by-step explanation:
area of paralellogram=base x height
height=sin(60) x 4=
area = 5 x
= = 17.3(to nearest tenth)
Answer:
<em>Y alone can do the piece of work in 30 days.</em>
Step-by-step explanation:
<u>Proportions</u>
Let's make:
N = days for Y to finish the work alone
Since X alone can do it in 15 days, each day he can do a proportion of 1/15 of the piece of work.
Since Y alone can (possibly) do it in N days, each day he can do 1/N parts of the work.
Together, they do
parts of the work per day. We know they can finish it in 10 days, thus:
Rearranging:
The LCM of 10 and 15 is 30, thus operating:
Solving for N:
N = 30
Y alone can do the piece of work in 30 days.
The extraneous solution is x=-1 and x=-6
Step-by-step explanation:
Given the question as;
Eliminate the root in the left hand side
solve the quadratic equation by factorization
Find multiples of 6 that add up to 7-------- 1*6
Rewrite the equation as;
x²+7x+6=0
x²+6x+x+6=0
x(x+6) +1 (x+6) =0
(x+1)(x+6) =0
x+1=0
x=-1
or
x+6=0
x=-6
The roots are, x=-1, and x=-6
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Quadratic equations : brainly.com/question/1332667
Keywords : extraneous, solution
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