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2 years ago

What is the measure of m_A?

Mathematics

1 answer:

Leto [7]2 years ago

8 0

Answer:

m∠A=52°

Step-by-step explanation:

Because of the exterior angle theorem, m∠A+m∠B=105° (The exterior angle)

We then end up with an equation like this...

m∠A+m∠B=105°

Then, you do the substitution...

x+53°=105°

Subtract 53 from both sides...

x=105°-53°

x=52°

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The profit from a business is

GuDViN [60]

First of all we will understand the question!!

The question is saying that you are given a function and you have to find the value of x which will give the maximum profit... Lets solve it by finding the extrema using the vertex

 $\rm \: p(x) = - 5 {x}^{2} + 30x + 8$ 

Identify the coefficients a and b of the quadratic function

 $\rm \: p(x) = { - 5x}^{2} + 30x + 8 \\ \rm \: a = - 5 \: and \: b \: = 30$ 

Since a<0, the function has the maximum value at x, calculated by substituting a and b into x=-b/2a

$\rm \: x = \frac{30}{ 2 \times (- 5)}$

Solve the equation for x

$\rm \: x = 3$

The maximum of the quadratic function is at x=3

3 0

1 year ago

What is a linear system?

Darya [45]

Answer:

Linear systems are systems of equations in which the variables are never multiplied with each other but only with constants and then summed up

8 0

3 years ago

Read 2 more answers

The ratio of boys to total players in league soccer is 3:5. How many are there if there are 45 boys?

gladu [14]

Answer:

Step-by-step explanation:

since 3 * 15 = 45, we know that we have to multiply 5 by 15. so the ratio would be 45:75. I hope this helps!

5 0

2 years ago

Read 2 more answers

X+6/2 + 5−4x/3 − 8−x/6 =0

natka813 [3]

Answer:

x = 0

Step-by-step explanation:

x+\frac{6}{2}+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0

x+3+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0

x+3+5-\frac{4x}{3}-8-\frac{x}{6}=0

x-\frac{4x}{3}-\frac{x}{6}+3+5-8=0

x-\frac{4x}{3}-\frac{x}{6}=0

x\cdot \:6-\frac{4x}{3}\cdot \:6-\frac{x}{6}\cdot \:6=0\cdot \:6

6x-8x-x=0

-3x=0

\frac{-3x}{-3}=\frac{0}{-3}

x=0

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3 years ago

Y = x + 4 y = −2x − 2

miskamm [114]

Y = x + 4
y = -2x - 2

x + 4 = -2x - 2
x + 2x = -2 - 4
3x = -6
x = -6/3
x = -2

y = x + 4
y = -2 + 4
y = 2

solution is (-2,2)

7 0

3 years ago