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3 years ago

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Snezhnost [94]3 years ago

3 0

Answer:

$\boxed {\boxed {\sf 1. \ 20 }}$

Step-by-step explanation:

An equilateral triangle has 3 equal sides and angles. Remember that <em>equil</em>ateral sounds like equal.

The interior angles of a triangle must equal 180 degrees.

All 3 angles are the same.
180/3= 60
All 3 angles in an equilateral triangle equal 60 degrees.

The question tells us the angle is equal to (4x-20).

∠= 60°
∠= (4x-20)°

So, by substitution, we can set 60 and (4x-20) equal to each other.

$60=4x-20$

Now, solve for x by isolating the variable on one side of the equation.

20 is being subtracted from 4x and the inverse operation of subtraction is addition. Add 20 to both sides of the equation.

$20+60=4x-20+20 \\ 20+60=4x\\80=4x$

x is being multiplied by 4. The inverse operation of multiplication is division. Divide both sides of the equation by 4.

$\frac{80}{4}=\frac{4x}{4}$

$\frac{80}{4}=x \\\ 20=x$

x is equal to 20 and choice 1 is correct.

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During Marta's last youth league soccer game, the starting players for each team had varied heights. The following is a list of

Fittoniya [83]

The answer would be the median is ~62~

Hope this helps

Have a great day/night

6 0

3 years ago

A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a

mezya [45]

Answer:

See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

$y=sin(x)$

That function has:

Midline, also known as rest or equilibrium position: y = 0
Minimum: - 1
Maximum: 1
Amplitude: the distance between a minimum or a maximum and the midline = 1
period: the interval of repetition of the function = 2π

The more general sine function is:

$y=Asin(Bx+C)+D$

That function has:

Midline: y = D (it is a vertical shift from the parent function)
Minimum: - A + D
Maximum: A + D
Amplitude: A
period: 2π/B
phase shift: C (it is a horizontal shift of the from the parent function)

Now, you have to draw the sine function with the given key features:

Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2

Amplitude, A = 3

midline y = - 1 ⇒ D = - 1

y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

$y=3sin(2x/\pi+C)-1$

Substitute (0, -1)

$-1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0$

Hence, the function to graph is:

$y=3sin(\pi x/2)-1$

To draw that function use this:

Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
Minima: 3(-1) - 1 = - 3 - 1 = -4
y-intercept: (0, - 1)
x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
first point of the midline: (0, -1) it is the same y-intercept

With that you can understand the graphs attached.

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3 years ago

Find an equation of the line that goes through the points (7,-42) and (10,-57). Write your answer in the form

tatuchka [14]

Y=-5x-7. I'm almost certain but you never know

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3 years ago

Read 2 more answers

1. Thom has a scale model of his car. The

MariettaO [177]

$x =\frac{4}{3}inch$ is the size in wheels on the scale model .

<u>Step-by-step explanation:</u>

Correct Question : Tom has a scale model of his car. The scale factor is 1 : 12. If the actual car has 16-inch wheels, what size are the wheels on the scale model?

We have , The scale factor is 1 : 12. We need to find If the actual car has 16-inch wheels, what size are the wheels on the scale model .Let's find out:

Ratio of size of wheels to actual size of wheels is 1:12 , but actual car has 16-inch wheels So ,

⇒ $\frac{1}{12} = \frac{x}{16}$ { x is size of wheel in scale model }