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3 years ago

<3 is a complement of <2, and m<3=80°. Find m<2.

Mathematics

1 answer:

Sedaia [141]3 years ago

4 0

Answer:

m<2 = 100 degrees

Step-by-step explanation:

complement angles are equal to 180.

so, 180 - 80 = 100

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3 years ago

How can mental math help you find solutions to inequalities?

shepuryov [24]

Answer:

There are many examples the basics are also easy to remember.

Step-by-step explanation:

We can input these for the following equation.

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Then compare to - x < 5

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3 years ago

Cesar debe confeccionar tres tipos de volantes rectangulares, pero solo recuerda algunas medidas. calcula la medida del lado res

Marta_Voda [28]

Answer:

a. El lado restante = 16 cm.

b. El lado restante = √7 cm

c. El lado restante = 6·√13 cm

Step-by-step explanation:

Debemos calcular la dimensión del otro lado del volante de la siguiente manera;

a. La diagonal = 34 cm

Longitud de un lado = 30 cm

Por lo tanto, según el teorema de Pitágoras, la longitud del lado restante viene dada por la siguiente relación

La longitud del lado restante = √ ((Diagonal) ² - (Longitud del lado dada) ²)

La longitud del lado restante = √ ((34) ² - (30) ²) = 16 cm

El lado restante = 16 cm.

b. La longitud del lado restante = √ ((Diagonal) ² - (Longitud del lado dada) ²)

La longitud del lado restante = √ ((4) ² - (3) ²) = √7 cm

El lado restante = √7 cm

C. La longitud del lado restante = √ ((Diagonal) ² - (Longitud del lado dada) ²)

La longitud del lado restante = √ ((18) ² - (12) ²) = 6·√13 cm

El lado restante = 6·√13 cm.

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3 years ago

Write an equation of a line that passes through the point (2, 3) and is parallel to the line y = 3 over 2x + 5.

NARA [144]

Here's an equation y=2x-7

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4 years ago

A young couple purchases their first new home in 2002 for $120,000. They sell it to move into bigger home in 2007 for $150,000.

Fed [463]

Answer:

The exponential model for the value of the home is $V(t)=120000e^{0.045t}$ .

Step-by-step explanation:

According to the give information 2002 is the initial year and the value of the hom in 2002 is $120,000.

The model will have the form

$V(t)=V_0e^{kt}$

Where V₀ is initial value of home, k is a constant and t is number f years after 2002.

$V(t)=120000e^{kt}$

The value of home in 2007 is $150,000. Difference between 2007 and 2002 is 5 years. Therefore the value of function is 150000 at t=5.

$150000=120000e^{k(5)}$

$\frac{150000}{120000}=e^{5k}$

$\frac{5}{4}=e^{5k}$

Take ln both sides.

$ln(\frac{5}{4})=lne^{5k}$

$ln(\frac{5}{4})=5k$ ( $lne^a=a$ )

$\frac{ln(\frac{5}{4})}{5}=k$

$k=0.04462871\approx 0.045$

Therefore exponential model for the value of the home is $V(t)=120000e^{0.045t}$ .

Where t is number of years after 2002.

7 0

4 years ago

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