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algol13
3 years ago
9

Given rectangle QRST, what is a logical first step to prove that the diagonals QS and RT are congruent?

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0
Prove that QR is parallel to ST

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The mean amount of water in 5 containers is 620 ml the total amount of water in 4 q of the containers is 2750 what is the amount
EleoNora [17]
<span>The <u>correct answer</u> is:

350 ml.

Explanation<span>:

Let x be the amount in the fifth container.

The mean is found by adding all of the amounts together and dividing by the number of containers (in this problem, 5). We know that the total from the other 4 containers is 2750; add this to x, our unknown number. Then we divide by 5 to arrive at our answer of 620.

Algebraically,
</span></span>\frac{2750+x}{5}=620<span><span>

To solve, multiply both sides by 5:
</span></span>\frac{2750+x}{5}\times 5=620\times 5&#10;\\&#10;\\2750+x=3100<span><span>

Subtract 2750 from both sides:
 2750+x-2750=3100-2750
x=350.

There are 350 ml in the fifth container.</span></span>
6 0
3 years ago
Read 2 more answers
Write the equation y=4x+9 in standard form using integers.
rosijanka [135]

Answer:

4x-y=-9

Step-by-step explanation:

The standard form of an equation is when both variables, x & y, are on the same side of the equation with a number on the other side.

To transform this equation from slope-intercept form to standard form, just switch sides for the y and the 9 like follows.

4x-y=-9

I hope this helped you :D

4 0
3 years ago
It costs Doug $30 to set up a cupcake stand. He charges $2 for every cupcake he sells. If Doug makes $48 of profit in one day, h
Lunna [17]

Answer:

It is 39 cupcakes.

Since he charges $2 per cupcake (39), it is 78.

He makes profit so subtract 30 from 78 and you get $48.

6 0
3 years ago
The 25th percentile for waiting time in a doctor's office is 19 minutes. the 75th percentile is 31 minutes. the interquartile ra
Gennadij [26K]
Wheres the rest of the question? 
6 0
3 years ago
Escribe una ecuación de la recta que pasa por el punto (5, –8) con pendiente 5.
Nana76 [90]

Considerando la expresión de una ecuación lineal, la ecuación de la recta que pasa por el punto (5, –8) con pendiente 5 es y= 5x - 33.

<h3>Ecuación lineal</h3>

Una ecuación lineal o línea se puede expresar en la forma y = mx + b

donde

  • x y son coordenadas de un punto.
  • m es la pendiente.
  • b es la ordenada al origen y representa la coordenada del punto donde la línea cruza el eje y.

La ecuación lineal se puede expresar también mediante la ecuación punto-pendiente de la recta, que se plantea si se conoce la pendiente de la recta y cualquiera de sus puntos. Con ello queda determinada la recta, conociendo la pendiente  “m” y un punto  (x1, y1) dado:

y - y1= m(x -x1)

<h3>Ecuación de la recta en este caso</h3>

En este caso, la recta que pasa por el punto (5, –8) con pendiente 5.

Reemplazando en la ecuación punto-pendiente de la recta:

y - (-8)= 5(x -5)

Resolviendo:

y + 8= 5(x -5)

Aplicando propiedad distributiva:

y + 8= 5x - 5×5

y + 8= 5x - 25

Aislando la variable "y":

y= 5x - 25 - 8

<u><em>y= 5x - 33</em></u>

Finalmente, la ecuación de la recta que pasa por el punto (5, –8) con pendiente 5 es y= 5x - 33.

Aprende más sobre ecuación de una recta:

brainly.com/question/25243069

brainly.com/question/19260315

brainly.com/question/24766917

#SPJ1

4 0
2 years ago
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