Need help with question 15! please!!! This is due 02/2/22 which is tmr please!
1 answer:
Answer: x = 6
Step-by-step explanation:
Because we are given that the two figures are already similar, we can set up a proportional relationship to determine the value of x. Since the larger rectangle has a width of 21 and the smaller rectangle has a width of 7, those values can be used as the numerators in the proportion. Since the larger rectangle's length is x plus the additional 3 units on the smaller rectangle, x+3 and 3 can be used as the denominators in the proportion.
Next, we set up the proportion as follows:
Then, you cross multiply to get the equation:
After solving down algebraically, you get the value of x to be 6.
I hope this helps!
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You can use the distributive property of multiplication over addition to find the equivalent expression to the given expression.
The expression which is equivalent to the given expression is given by
Option D:
Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
<h3>What is distributive property of multiplication over addition?</h3>Suppose a, b and c are three numbers. Then we have:
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
<h3>Using the above property and the fact that 28 and 35 are multiples of 7 to get the equivalent expression</h3>The given expression is
Since 28 = 7 times 4 and 35 = 7 times 5
Thus,
Thus,
The expression which is equivalent to the given expression is given by
Option D:
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