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3 years ago

What is the measure of m_A?

Mathematics

1 answer:

Leto [7]3 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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Slope is -2 and (-1,7) is on the line ; standard form

irinina [24]

Answer:

y=-2x+5

Step-by-step explanation:

y=-2x+b

7=2+b

b=5

Therefore, y=-2x+5

4 0

3 years ago

6. A surveyor walks the perimeter of a piece of government land. He notes that the area of the land

Vlada [557]

Answer:

A) l = w + 900

B) l * w = 4,000,000

B) l = 4,000,000 / w putting this into A)

A) 4,000,000 / w = w + 900

A) 4,000,000 = w^2 +900 w

A) w^2 +900 w - 4,000,000

Solving by quadratic formula

width = 1,600 length = 2,500

Double-Check

1,600 * 2,500 = 4,000,000

Length = width + 900

2,500 = 1,600 + 900

Answer is okay

Step-by-step explanation:

8 0

3 years ago

Consider this right triangle with given measures what is the unknown length

DIA [1.3K]

Answer:

b = 9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 12² = 15²

b² + 144 = 225 ( subtract 144 from both sides )

b² = 81 ( take the square root of both sides )

b = $\sqrt{81}$ = 9

4 0

3 years ago

Read 2 more answers

(20 x 40) x 14 = ?

fredd [130]

To solve this problem, we must use the order of operations outlined by PEMDAS, which tells us that we should simplify or compute parentheses first, then exponents, multiplication, division, addition, and finally subtraction.

Using this method, we have to perform the multiplication inside the parentheses first.

(20 * 40) * 14

800 * 14

Finally, we must perform the final operation to simplify this expression, which is multiplication.

800 * 14 = 11200

Therefore, your final answer is 11200.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnig

Vladimir [108]

Answer:

The equation is given by:

$D(t) = 80 + 9\sin{0.2618t}$

Step-by-step explanation:

Sine function:

Has the following format:

$y = A\sin{bx}$

In which A is the amplitude and $\frac{2\pi}{b}$ is the period.

Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees

This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that $A = 9$

During a 24-hour day, which means that the period is 24. So

$\frac{2\pi}{b} = 24$

$24b = 2\pi$

$b = \frac{2\pi}{24}$

$b = 0.2618$

So the variation is:

$V(t) = 9\sin{0.2618t}$

Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Initial temperature of 80, so:

$D(t) = 80 + V(t) = 80 + 9\sin{0.2618t}$

8 0

3 years ago