Y=x² +14x +48
y-48 = x² +14x
y-48+7² = x² +2*7*x +7²
y-48+49 = (x+7)²
y+1= (x+7)²
y=(x+7)² - 1
Vertex of the function is (-7,-1). Minimum value of this function is a vertex value , because parabola directed up.
Let's find a.
We are given a right angle which is 90° and an angle marked by "a" next to it. We know that when they are added together, they make a supplementary angle so we can make a equationa and solve.
90 + a = 180
a = 90°
Let's find b.
By looking at the graph, we can tell that the angle "b" and the angle that measures 163° is the same. Thus, b = 163°.
Let's find c.
Using what we did for a, we can solve for c using what we got for b. We can make an equation and solve.
163 + b = 180
c = 27°
Let's find d.
Using the angle that measures 70°, we can solve it like we did with a and c.
70 + d = 180
d = 110°
Let's find e.
Now that we know what d equals, we know that d and e make a supplmentary angle. So, make an equation and solve.
110 + e = 180
e = 70°
Best of Luck!
75 is your answer
Hope this helped
Happy Holidays!
Answer:
x= 10
Step-by-step explanation:
Since the triangles are congruent
<B = <E
50 = 5x
Divide each side by 5
50/5 = 5x/5
10 =x