A restaurant offers a dinner special in which diners can choose anyone of three appetizers, anyone of four entries, anyone of fi
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Answer:
The expression that uses the distributive property to represent the sum of 39 + 27 is
Step-by-step explanation:
Given
Expression: 39 + 27
Required
Express using the distributive property
The distributive property is represented in the form a(b + c)
So, we can say that the meaning to the question is that the given expression should be represented in the form a(b+c)
Equate these two expressions, we have
Factorize the expression on the left hand side
Simplify fraction
Compare expression on left hand side with the expression on the right hand side.
Since, they have the same format, then we've arrived at the answer.
Hence, the expression that uses the distributive property to represent the sum of 39 + 27 is
Diagram of two triangles
The two triangles are similar because they are both right triangles, meaning that one angle is 90° and the other two are acute (less than 90°).
The diagram on the left is missing its hypotenuse - the variable <em>c</em><em>.</em><em> </em>The hypotenuse is opposite of the right angle. The diagram on the right side is missing one of its legs.
Note: The hypotenuse is the <em>longest</em><em> </em>side of a right triangle.
Word Problen
The legs are 21 blocks and 20 blocks because they are by the right angle. Use the Pythagorean theorem to find the diagonal path's length, which is the hypotenuse.
Standard form of Pythagorean theorem.
Equation with the legs substituted and the missing hypotenuse value - <em> </em><em>c</em><em>.</em>
Square the legs and add.
Take the square root and simplify. The square root of 841 is 29 and -29, but distance is positive.
Thus the diagonal distance is 29 blocks.
Check by substituting.