The length of the base of an isosceles triangle is x. The length of a leg is 4x - 3. The perimeter of the triangle is 75. Find x
.
1 answer:
Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
Let's first draw a diagram visually representing the problem so that we can better understand it. The diagram is attached above.
Next we will establish the following:
Perimeter of a triangle = The sum of the length of all three sides of the triangle
75 = ( 4x - 3 ) + ( 4x - 3 ) + ( x )
75 = 9x - 6
9x - 6 = 75
9x = 75 + 6
9x = 81
x = 81 / 9
x = 9
FINAL ANSWER:
Therefore, the answer is:
x = 9
Hope this helps! :)
Have a lovely day! <3
STEP-BY-STEP EXPLANATION:
Let's first draw a diagram visually representing the problem so that we can better understand it. The diagram is attached above.
Next we will establish the following:
Perimeter of a triangle = The sum of the length of all three sides of the triangle
75 = ( 4x - 3 ) + ( 4x - 3 ) + ( x )
75 = 9x - 6
9x - 6 = 75
9x = 75 + 6
9x = 81
x = 81 / 9
x = 9
FINAL ANSWER:
Therefore, the answer is:
x = 9
Hope this helps! :)
Have a lovely day! <3
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Answer:
-48
Step-by-step explanation:
Multiply both sides of the equation by -8
-8(6) = (-8)
-48 = w
Answer:
Option B is correct.
The expression which is equivalent to is;
Explanation:
Given the equation: for all values of n.
The quadratic equation in this form;
First find two numbers that multiply to give ac and add to give b.
From the given equation;
a =1 , b = 26 and c =88
then,
the two number that multiply to give ac =88 is, 22 or 4
and they add up to give b=26 (i.e 22+4)
Now, rewrite the middle term i.e 26n with 22n and 4n , we have
Now, factor the first two terms and last two terms,
we see that is common to both terms so, we have;
Therefore, the expression is equivalent to
Check:
(n+4)(n+22) = =
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