angles BAC and BCA are equal = 69
69 +69 = 138
angles in a triangle =180
180-138 = 42
5x + 2 = 42
5x = 40
x = 8
Since angle CDA + angle ABC = 180 then DC is Parallel to AB by transversal of parallel line theorem c-pattern for co-interior angles. to help visualize it draw it
The value of (f+g)(x) is x^2 + 3x - 11
You can combine this by simply adding the like terms. Start by adding together all of the x^2 terms. Since only g(x) has one of those, we use that in its entirety.
x^2
Next we add together the x terms. f(x) has 7x and g(x) has -4x.
7x + -4x = 3x
Finally, we add together the constants. f(x) has -3 and g(x) has -8.
-3 + -8 = -11
With all of the like terms combined, we simply take the answers and put them together.
x^2 + 3x - 11
Answer:
90%
Step-by-step explanation:
Total number of students= number of students who voted for the athlete + number of students who voted for the actor
=450+50
=500
% of students who voted for athletes= number of students who voted for athletes/total number of students*100
=450/500*100
=90%
<h2>
Radius of a Circle Given Center and Point</h2>
To find the radius of a circle when we're given the coordinates of its center and a point it contains, we can use the following formula for distance:
- is one point and is another
<h2>Solving the Question</h2>
We're given:
- Center: (-2,1)
- Point: (2,-1)
Plug these given points into the formula for distance:
<h2>Answer</h2>
Therefore, the radius of the circle is units, or approximately 4.47 units.