Let A and B be the two complementary angles.
A = smaller angle = 2x
B = larger angle = 13x
x = some unknown number
Note how the ratio A:B turns into 2x:13x which simplifies to 2:13
A+B = 90 ... because the angles are complementary
2x+13x = 90 ... substitution
15x = 90
x = 90/15
x = 6
A = 2*x = 2*6 = 12 degrees
B = 13*x = 13*6 = 78 degrees
The two angles are 12 degrees and 78 degrees.
Check:
A/B = 12/78 = (2*6)/(13*6) = 2/13, so A:B = 2:13
A+B = 12+78 = 90
Answer is option C
Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.
k is the constant of proportionality
We check with each option and identify which option gives us same K value
(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours
so k = 10
so k = 22.5
K values are not same
(b) 3 mph for 2 hours and 4.5 mph for 3 hours
so k = 6
so k = 13.5
K values are not same
(c) 4 mph for 2.5 hours and 5 mph for 2 hours
so k = 10
so k =10
K values are same .
Answer is option C
<span><u><em>The correct answers are: </em></u>
1) A;
2) A;
4) D
3 cannot be done because the graph is not shown.
<u><em>Explanation:</em></u><span><u><em> </em></u>
1) Shifting a graph to the left, we would normally think of subtracting 1 from the function. However, horizontal translations are the opposite; left means adding 1 to x, while right means subtracting 1 from x.
2) A reflection in the x-axis means the y-coordinate will be negated (the opposite sign). This means that g(x)=-f(x)=-(x^2+5=-x^2-5.
4) To perform a vertical stretch of a function, we multiply by the factor; this gives us y=6x.</span></span>
Answer: 36
Step-by-step explanation:
There is 50% more silver cars then blue cars
Take 24 x 1.5 (50% more) and you get 36
-Gage Millar, Algebra 2 tutoe
Answer:
225 miles
Step-by-step explanation:
We start by converting it into a fraction, then multiply by the quantity
