Answer:
x = 24 , y = 19
Step-by-step explanation:
(2x + 13) and 47 + 3x are same- side interior angles and sum to 180° , so
2x + 13 + 47 + 3x = 180 , that is
5x + 60 = 180 ( subtract 60 from both sides )
5x = 120 ( divide both sides by 5 )
x = 24
Then 3x = 3 × 24 = 72
5y - 23 and 3x are corresponding angles and are congruent , then
5y - 23 = 72 ( add 23 to both sides )
5y = 95 ( divide both sides by 5 )
y = 19
Answer:
2.
a)1
b)1
c)1
Step-by-step explanation:
There's some identity trigonometric equation, which are valid for all angles,and they doesn't depends on the measure of angle!
some of em are follows:. (x is the given angle)
- sin(x)^2+cos(x)^2=1
- cosec(x)^2=1+cot(x)^2
- sec(x)^2=1+tan(x)^2
You can remember these identity, its gonna help alot.
now back to question,. {x is representing angles)
for (a) sin(x)^2+cos(x)^2=1, this is true for all x, dat means that for all the angle given in question(for ,15°,30°,45°,60° and 120°),we will get 1
for(b) ,
cosec(x)^2=1+cot(x)^2
i.e, cosec(x)^2-cot(x)^2=1, again this is true for all x dat means that for all the angle given in question ,we will get 1
for (c),
sec(x)^2=1+tan(x)^2
i.e,sec(x)^2-tan(x)^2=1,again this is true for all x, dat means that for all the angle given in question ,we will get 1
✌️:)
Answer: A. An OPEN circle on the number 5 and an arrow shading to the RIGHT.
The question is an illustration of combination and there are 729 potential pass codes available
<h3>How to determine the number of potential pass codes?</h3>
The given parameters are
Symbols available = 9
Length of pass code = 3
From the question, we understand that a symbol may be entered any number of times.
This means that each of the 9 available symbols can be used three times
So, the number of potential pass codes is
Passcodes = 9 * 9 * 9
Evaluate the product
Passcodes = 729
Hence, there are 729 potential pass codes available
Read more about combination at:
brainly.com/question/11732255
#SPJ1
Answer:
x.
Step-by-step explanation:
If h(x) is the inverse of f(x) them h(f(x)) = x.
