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3 years ago

Find the value of x, question and choices attached above

Mathematics

1 answer:

Levart [38]3 years ago

8 0

Answer:

Step-by-step explanation:

Look at the picture.

The lines l and m are parallel, therefore alternate interior angles are congruent.

Therefore $\beta=50^o$

Supplementary angles add up to 180°.

Therefore

$(5x-16)+\theta=180$ add 16 to both sides

$5x+\theta=196$ subtract 5x from both sides

$\theta=196-5x$

We know: the sum of the triangle angle measures is 180°.

Therefore we have the equation:

$50+2x+196-5x=180\\\\-3x+246=180\qquad\text{subtract 246 from both sides}\\\\-3x=-66\qquad\text{divide both sides by (-3)}\\\\x=22$

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The upper quartile of a set of data is represented by which of the following?

Natali [406]

Answer:

The mode of the upper quarter of the data.

Step-by-step explanation:

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2 years ago

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Please someone should help me out

ki77a [65]

Answer:

6cm is the missing length

Step-by-step explanation:

See the 10cm and the 4cm?

If you look at in a way if you added 6 more centimeters to the 4cm it would be 10, leaving 6cm as the missing length.

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2 years ago

the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer

Alinara [238K]

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = v $i$ t + $\frac{1}{2}$ a $t^{2}$

d = distance v $i$ = initial velocity (m/s)

t = time (s) a = acceleration (m/ $s^{2}$ )

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/ $s^{2}$ since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + $\frac{1}{2}$ (9.81m/ $s^{2}$ )(t)

220.98m = (4.905m/ $s^{2}$ )(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

7 0

1 year ago

A train is going at 200/KM per hour

olya-2409 [2.1K]

Answer:

It moved for 152.7 seconds

Step-by-step explanation:

Time taken/ period, T :

${ \sf{T = \frac{distance}{speed} }}$

substitute the variables:

${ \sf{T = \frac{8482}{(200 \times 1000)} }} \\ \\ { \sf{T =0.042 \: hours }}$

In seconds:

${ \sf{T = (0.042 \times 3600) \: s}} \\ { \sf{T = 152.7 \: seconds}}$

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2 years ago

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a cardboard box holds 31.25 cubic inches of creamy butter. The butter is molded into a square prism that is 5 inches long. How m

lesya [120]

Answer:

$62.5 \:in^2$

Step-by-step explanation:

Volume of the butter in the cardboard = 31.25 cubic inches

Length of the Molded Square Prism =5 Inches

Let the length of the square cross sectional area = x

Volume of the Prism $=x^2l$

Since l=5 Inches

$5x^2=31.25\\x^2=6.25\\x=2.5\: Inches$

Next, we determine the surface area of the New Cardboard box to be made.

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Therefore, $62.5 \:in^2$ of cardboard is needed,

4 0

2 years ago