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MAVERICK [17]
3 years ago
5

When three points lie on the same line

Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0
When three points are on the same line it’s collinear,. we’re in the same class LOL
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I need help on this problem
Arte-miy333 [17]

Answer: QR=4.04

Step-by-step explanation:

For this exercise you must use the followinG Trigonometric Identity:

tan\alpha=\frac{opposite}{adjacent}

In this case, given the right triangle PQR, you can identify that:

\alpha=60\°\\opposite=PR=7.0\\adjacent=QR

Then, the  next step is to substitute those values into tan\alpha=\frac{opposite}{adjacent}:

tan(60\°)=\frac{7.0}{QR}

And the final step is to solve for "QR" in order to find its value.

So you get that this is:

(QR)(tan(60\°))=7.0\\\\QR=\frac{7.0}{tan(60\°)}\\\\QR=4.04

6 0
3 years ago
La suma de dos números es 81. La diferencia de los mismos dos números es 33. Escribe un sistema de ecuaciones para representar e
Alekssandra [29.7K]

Answer:

a) Escribe un sistema de ecuaciones para representar esta situación.

x + y = 81 ...... Ecuación 1

x - y = 33 ....... Ecuación 2

b) Los dos números son: 57 y 24

Step-by-step explanation:

Estamos tratando con 2 números

Dejar

El primer número = x

El segundo número = y

La suma de dos números es 81.

x + y = 81 ...... Ecuación 1

La diferencia de los mismos dos números es 33.

x - y = 33 ....... Ecuación 2

Escribe un sistema de ecuaciones para representar esta situación.

x + y = 81 ...... Ecuación 1

x - y = 33 ....... Ecuación 2

Resolvemos estas ecuaciones usando el método de eliminación

Restamos la ecuación 2 de la ecuación 1 para eliminar

2y = 48

y = 48/2

y = 24

Resolver para x usando la Ecuación 1

x + y = 81 ...... Ecuación 1

x + 24 = 81

x = 81 - 24

x = 57

Por lo tanto, los dos números son: 57 y 24

7 0
3 years ago
HELP PLEASE the answrtr
lesantik [10]

<em>first:</em>

<em></em>\left(\frac{1}{4}+1\frac{1}{2}\right)\cdot \frac{1}{2} =\left(\frac{1}{4}+\frac{3}{2}\right)\cdot \frac{1}{2}  =\frac{\left(\frac{1}{4}+\frac{3}{2}\right)\cdot \:1}{2} =\frac{\left(\frac{1}{4}+\frac{6}{4}\right)\cdot \:1}{2} =\frac{\frac{7}{4}\cdot \:1}{2} =\frac{\frac{7}{4}}{2} =\frac{7}{4\cdot \:2} =\frac{7}{8}<em></em>

<em>So the first is the correct one.</em>

<em></em>

<h3><em>Hope I helped you!</em></h3><h3><em>Success!</em></h3>

<em></em>

<em></em>

<em></em>

<em>by a romanian guy.</em>

<em />

8 0
3 years ago
Read 2 more answers
Students in a large psychology class measured the time, in seconds, it took each of them to perform a certain task. The times we
qwelly [4]

Answer: z= 1.72

Step-by-step explanation:

Don’t ask me how I guessed and it was right

5 0
3 years ago
Five less than the sum of x and y
ratelena [41]

Answer: x+y>5 or (x+y)-5

Step-by-step explanation:

There are two potential ways of writing five less than the sum of x and y. You can use an expression or an inequality.

Inequality

By using an inequality, we would use the less than sign because 5 is <u>less than</u> the sum of x and y.

5<x+y

We can also write it where the variables are on the left side, which is usually preferred.

x+y>5

-------------------------------------------------------------------------------------------------------------

Expression

For an expression, we would basically write an equation, but without the equals sign.

(x+y)-5

Since 5 is less than the sum of x and y, we would subtract 5 from x+y. We don't necessarily need to put parentheses around x+y since the order of operations tells us to add or subtract from left to right in order. It is still good to be specific, saying that it is the sum of x and y.

3 0
3 years ago
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