Hi!
<u>Your answer is 52.</u>
To start off, let's start with some facts that will help us solve this:
<u><em></em></u>
<u><em>Supplementary angles</em></u> are two angles whose angle measures add up to 180 degrees. You can know that they are supplementary because they can be connected by a straight line.
<u><em>Triangles (all of them)</em></u> have angles that add up to 180 degrees.
We can start by using supplementary angles to solve. See where the angle of 67 degrees is? The one to the right of it is supplementary to it since they are on a straight line. That means their sum adds up to 180 degrees:
That angle is 113 degrees.
Now, we have 2 out of 3 angles in the triangle. Since we know that triangles' angles add up to 180 degrees, we can make an equation:
Therefore, x is equal to 52.
Answer:
B.) The graph of m(x) is wider.
Both graphs open upward.
Both have the axis of symmetry x = 0.
The vertex of m(x) is (0, 4); the vertex of n(x) is (0, 0).
Step-by-step explanation:
When the coefficient before x² is greater than 1, the curve of the graph is narrower. When the coefficient is less than 1, the curve of the graph is wider.
When the coefficient in front of x² is positive, the graph opens upwards. When the coefficient is negative, the graph opens downwards.
The axis of symmetry is the "x" value which divides the curve into two equal sections. Their axis of symmetry are both x = 0 because their vertexes (the lowest point of the curve) are both at x = 0.
The vertex can be found by plugging x = 0 into both of the equations and then solving. The resulting value is the "y" position of the vertex.
m(0) = 0.7(0)² + 4 n(0) = (0)²
m(0) = 0 + 4 n(0) = 0
m(0) = 4
Therefore, the vertexes are m(x) = (0,4) and n(x) = (0,0).
Answer:
<h3><u>Part A.</u> 5n</h3>
<h3><u>Part B.</u> 5n (2n –3) ( n + 2x)</h3>
Step-by-step explanation:
<u>A. Ans ; </u>
10n³ – 15 n² + 20 xn² – 30 xn
Factors ; 10 —> 10 , 5 , 2 , 1
Factors ; 5 —> 5 , 1
Factors ; 20 —> 20 , 10 , 5 , 4 , 2 , 1
Factors ; 30 —> 30 , 15 , 10 , 6 , 5 , 3 , 2, 1
The greatest common factor of numbers is ; 5
n³—> n , n , n
n² —> n , n
xn² —> x , n , n
xn —> x , n
The greatest common factor of the variables is ; n
<h3>So ; Greatest common factor : 5n</h3>
<u>B . Ans ;</u>
I hope I helped you^_^
If there was 20% taken off you add 20% back on and that is how you will get your answer. So take 760 plus the 20% which gives you 912 dollars
Answer:
42
Step-by-step explanation:
the answer to life and the universe
