For two ratios to form a proportion they have to be equal.
To see if two ratios are equal we express them in their simplest form.
In this case we notice that in the first ratio both numbers are multiples of five, then:
In the second case we notice that both numbers are multiples of 2, then:
Since both ratios can be simplified to the same final ratio, they form a proportion.
Answer:
The measure of ∠D = (Q) = 28.81
Step-by-step explanation:
Tan(Q) = perpendicular/ base
In this case perpendicular is BC and base is DC
BC =25 DC = 45
Tan(Q) = BC/DC
Tan(Q) = 25/ 45
Tan(Q) = 5/ 9
(Q) = tan^ -1 (0.55)
(Q) = 28.81
Answer:
The correct answer is A.; C.; E.
Step-by-step explanation:
A. Negative integers are rational numbers because all integers are rational numbers, i.e. integers are a subset of rational numbers, making the statement correct.
B. Mixed numbers are rational numbers because they can be written in the form of a simple fraction and thus the statement B is wrong.
C. Decimal numbers that terminate, like 0.125, are rational numbers is true as they can be written as a simple fraction making the statement true.
D. Decimal numbers that go on forever with repeating patterns, like 4.272727..... are irrational numbers is false as they can also be represented by a simple function making them rationals.
E. Decimal numbers that go on forever with no repeating patterns are irrational numbers as they can never be written as a simple fraction making the statement E true.
<span>Primes are used in several routines in information technology, such as public-key cryptography, which makes use of properties such as the difficulty of factoring largenumbers into their prime factors.</span><span>
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Answer:
-1/3
Step-by-step explanation:
Distribute- 3n-9=-10
Add 9 to both sides- 3n=-10
Divide both sides by 3- n=-1/3
Check- 3(-1/3)-9=-10 (-1)-9=(-10) -10=-10
