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3 years ago

Here, angles A is 23 degrees. What can we say about other angles B and C…. Help please

Mathematics

2 answers:

Nata [24]3 years ago

8 0

Answer:

Both are 157 degrees

Step-by-step explanation:

A and B form a linear pair, meaning together they should create 180 degrees. 180 - 23 = 157. Since B and C are vertical angles, they must both be the same. A vertical angle is when two angles are on opposite sides.

Y_Kistochka [10]3 years ago

8 0

Answer:

Step-by-step explanation:

Linear pair: Two angles form linear pair if they are adjacent angles and their non common arms are opposite rays.

a +b = 180 {Linear pair}

23 + b = 180

b = 180 - 23

b = 157°

c = b {Vertically opposite angles are congruent}

c = 157°

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Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Whi

Romashka [77]

Answer:

$\bf \displaystyle\frac{5+1}{2}=\displaystyle\frac{6}{2}=3$

Step-by-step explanation:

The x-intercepts are the values of x for which y=0, that is f(x)=0.

The x-intercepts of

$\bf f(x)=4x^2-24x+20$

are the values of x such that

$\bf 4x^2-24x+20=0$

Divide both sides by 4 to simplify a little

$\bf x^2-6x+5=0$

Solve the quadratic equation

$\bf x=\displaystyle\frac{-(-6)\pm\sqrt{(-6)^2-4*1*5}}{2*1}=\displaystyle\frac{6\pm\sqrt{36-20}}{2}=\\\\=\displaystyle\frac{6\pm\sqrt{16}}{2}=\displaystyle\frac{6\pm4}{2}$

and you get the 2 x-intercepts

x =10/2 and x = 2/2

x = 5 and x = 1

The average is the midpoint

$\bf \displaystyle\frac{5+1}{2}=\displaystyle\frac{6}{2}=3$

7 0

3 years ago

Read 2 more answers

Bob neff, owner of an automotive dealership, pays one of his salesmen, mike, a $1,300 salary per week plus 6% on all commission

AlekseyPX

4 * 500 = $2,000

Then, you must calculate how much he earned by the commission: 

$42,000 * 3% 

(3% = 3/100) 

42,000 * 3/100 = 420 * 3 = $1260 

Finally, you add what he earned form the commission plus the 4 weeks salary: 

$2,000 + $1260 = $3,260

7 0

4 years ago

One less than the quotient of four and a number x.

aleksandrvk [35]

Answer:

(4/x)-1

Step-by-step explanation:

The quotient of 4 and the number x means we are dividing 4 by x, so we get 4/x

Then we have the 'one less than' part, meaning we subtract one from (4/x), so we get (4/x)-1

Hope this helps

3 0

4 years ago