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yaroslaw [1]
3 years ago
9

A pair of vertical angles has measures (3x + 4) and ( 73 – 9) What is the value of x?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0

Answer:

20

Step-by-step explanation:

Vertical angles are always equal to each other. So the answer is

3x + 4 = 73 - 9                 Are you sure this is what the question is?

3x + 4 = 64                      Subtract 4 from both sides

 <u>    -4      -4</u>

3x = 60                           Divide by 3

3x/3 = 60/3

x = 20

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Use the parabola tool to graph the quadratic function f(x)=x2−12x+27. Graph the parabola by first plotting its vertex and then p
alina1380 [7]

Answer:

vertex is (6 , -9)

points are (9,0) and (3,0)

Step-by-step explanation:

Given quadratic function f(x)=x^2-12x+27

We have to plot the given quadratic function.

Consider the Given quadratic function f(x)=x^2-12x+27

The general form of quadratic function  is given f(x)=a(x-h)^2+k

Where, (h, k)  is vertex , given  h =\frac{-b}{2a} and k = f(h)  

Thus, for given quadratic function f(x)=x^2-12x+27

a = 1 , b= -12 , c = 27

Thus,

h =\frac{-b}{2a}=\frac{12}{2}=6

k = f(h) that is f(12) = (6)^2 - 12× 6 +27 = 36 - 72 + 27 = - 9

Thus, given  quadratic function f(x)=x^2-12x+27 in standard form is f(x)=(x-6)^2-9  

Thus, vertex is (6 , -9)

For second point put f(x)=0  , we get,

f(x)=(x-6)^2-9=0  

\Rightarrow (x-6)^2-9=0  

\Rightarrow (x-6)^2=9  

\Rightarrow (x-6)=\pm 3  

\Rightarrow x= 6\pm 3  

Thus, \Rightarrow x=6+3=9 and \Rightarrow x=6-3=3  

thus, points are (9,0) and (3,0)

Graph is attached below.

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3 years ago
The perimeter of a rectangle is 162 ft. The ratio of the length to the width is 5:4. Find the length of the rectangle.. A.18 ft.
Nikitich [7]
5:4 = 10:8 = length:width
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the length of the rectangle is D. 90 ft
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