Answer:
Domain : 0° < x <90°
Range: 90° < y < 180°.
Step-by-step explanation:
When we have a function:
f(x) = y
the domain is the set of the possible values of x, and the range is the set of the possible values of y.
In this case we have:
x + y = 180°
such that x < y
Let's analyze the possible values of x.
The smallest possible value of x must be larger than 0°, as we are workin with suplementary angles.
Knowing this, we can find the maximum value for y:
0° + y = 180°
y = 180° is the maximum of the range.
Then we have:
0° < x
y < 180°
To find the other extreme, we can use the other relation:
x < y.
Then, we can impose that x = y (this value will not be either in the range nor the domain)
if x = y then:
x + y = x + x = 180
2*x = 180
x = 90°
This will be the maximum of the domain and the minimum of the range.
Then we have that the domain is:
0° < x <90°
And the range is:
90° < y < 180°.
To find the value of x we need to use the INVERSE OPERATION of addition which is subtraction. Then we will check our work. lets do it:-
x + 19 = 13
x = ?
13 - 19 = x
<span>13 - 19 = -6</span>
x = - 6
CHECK OUR WORK:-
x + 19 = 13
x = -6
-6 + 19 = 13
We were RIGHT!!
So, x = -6
Hope I helped ya!! xD
Answer:
Correct answer is <em>D. ASA</em>
<em />
Step-by-step explanation:
Let us first define <em>ASA congruence</em> rule:
2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are <em>equal </em>to each other.
In the question figure, we can figure out following conclusions from Triangles 
respectively:
- Side RS = Side WX
As per the definition of option d) ASA congruence, the triangles are congruent.
D. 75 cm
Step-by-step explanation:
fill in the y with 20.5, so you get 20.5=0.3x-2. Add the 2 to the 20.5 so you get 22.5=0.3x. Divide both by 0.3 to get 75=x.
sorry if it's a bd explanation, hope this helps :)
keeping in mind that a line with a slope of "0" is a horizontal line, Check the picture below.
