The sum of John’s and Matt’s ages is 42. The difference of their ages is 6. If Matt is older than John, what are their ages? Mat
2 answers:
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Answer:
Complementary angles.
Step-by-step explanation:
Notice that and
, by given.
, by sum of angles.
, by supplementary angles definition.
Which means,
Therefore,, in other words, angles a and b are complementary by definition.
Answer:
Step-by-step explanation:
I assume that you need simplification of the given expression.
The given expression is:
Using distributive property and multiplying 2 inside the parenthesis and 1 inside the other parenthesis. This gives,
Therefore, is equal to:
Now, combining like terms using the commutative property of addition, we get:
Therefore, the simplified form is
Scale factor is a ratio. The correct option is C.
<h3>How are scale drawings formed?</h3>For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.
The length of AB can be written as,
AB = √[(1-4)²+ (1-1)²]
AB = 3
Since the length A'B' is 6 units, therefore, the scale factor will be,
Scale factor = (Length after transformation)/(Length before transformation)
Scale factor = 6 /3 = 2
Hence, the correct option is C.
Learn more about Scale factors:
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