Answer:
The angles measure 21 degrees and 69 degrees.
Step-by-step explanation:
Complementary angles have a sum of 90 degrees when added together.
Let's call the complementary angle x. We can write the angle that we're looking for as in terms of x as x + 48.
Since these angles must sum to 90 we can write the equation and solve:
x + x + 48 = 90
2x + 48 = 90
2x + 48 - 48 = 90 - 48
2x = 42
x = 21
x + 48 = 69
21 degrees and 69 degrees.
Question:
HLI is shown. Line segment JK is drawn near point L to create JLK. If HLI ~ JLK by the SSS similarity theorem, then is also equal to which ratio?
Answer:
Step-by-step explanation:
Given
HLI ~ JLK
Required
Which other ratio equals
HLI ~ JLK implies that:
HL, IL and HI corresponds to JL, KL and JK respectively.
So, the possible ratios are:
HL : IL : HI = JL : KL : JK
Convert to fractions
So, from the list of options
is equivalent to
52° would be the correct answer cause 90-38 is 52
Given:
The equation is
The domain is .
To find:
The graph of six points that would satisfy the equation.
Solution:
We have,
For ,
Similarly, at x=1,
At x=2,
At x=4,
At x=8,
At x=16,
Plot the points on a coordinate plane as shown below.
I don't know which quadrent the rectangle started in because there is no image, but it should be easy for you to apply the steps. You know that it is being reflected over the x-axis, this means that x will stay the same, and y will be negative. The x axis is the horizontal one, so if you look at where it is, you can either visualize, or use tracing paper to determine where it will end up.