Answer:
- x(27 +24) or 3x(9 +8)
- 0.5(n +5) or 2.5(n/5 +1)
Step-by-step explanation:
The distributive property of multiplication over addition tells us that the product of a value and a sum will be the same as the sum of products of the value and the sum's addends. This property can be used to add or remove parentheses from an arithmetic expression.
a(b +c) = ab +ac . . . . expression of the distributive property
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When applying the distributive property to a sum, the first step is to look for a factor common to the terms of the sum. That factor need not be the greatest common factor, though it is often useful if it is.
Below, we have written each expression using two different common factors.
<h3>a)</h3>
27x +24x = x(27 +24) = 3x(9 +8)
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<h3>b)</h3>
0.5n +2.5 = 0.5(n +5) = 2.5(n/5 +1)
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<em>Additional comment</em>
Finding a common factor can make use of knowledge of multiplication tables, rules of exponents, and identities involving various functions used in algebraic expressions. It is sometimes useful to list the prime factors of each of the terms as an aid to finding a common one. Where fractions are involved, it is sometimes helpful to express them all using a common denominator.
The Euclidean Algorithm can also be useful for finding common factors.
Answer: x=40°
Step-by-step explanation:
The two triangles are congruent (I think it’s called the interior angle proof) so the bottom right angle is also 65°. All angles in a Triangle equal 180°, so 180-(75+65)=40
Answer:
A
Step-by-step explanation:
- to find x we use tan 60 = x/7
- rearrange, tan60*7 = x, x = 
- now you have two sides so you can use pythagoras to find z
y^2 + x^2 = z^2
z = 
z = 14
Answer: 40 cm
So the diagonal formula is - 1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.
So,
1/2 * (18*d2)= 360
18*d2= 360*2
d2= 720/18
d2= 40
