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3 years ago

If x + 10 = 7+4, what quantity must x be?

Mathematics

2 answers:

Vesna [10]3 years ago

4 0

Answer:

it must be 1

Step-by-step explanation:

pishuonlain [190]3 years ago

3 0

Answer:

x=1

hope it helps..........

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Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)

xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$=\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinate.

$$ \frac{m+h}{2}=\frac{x}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$$\frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

5 0

3 years ago

Identify the like terms in the following expression: 15m + 2n - 4m + n +12m

Romashka [77]

Do 15m, 4m, 12m first

6 0

4 years ago

Simplify and solve this equation 4m+9+5m-12=42

Ad libitum [116K]

Here is my answer. hope it helps!

8 0

4 years ago

Read 2 more answers

Step 3a: Calculating the average rate

Alex73 [517]

9514 1404 393

Answer:

a) average rate = (total distance)/(total time)

b) Rave = 2·R1·R2/(R1 +R2)

c) cheetah's average rate ≈ 50.91 mph

Step-by-step explanation:

a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...

First leg distance: AB = 70·t1 ⇒ t1 = AB/70

Second leg distance: AB = 40·t2 ⇒ t2 = AB/40

The average rate is the ratio of total distance to total time:

average rate = (AB +AB)/(t1 +t2)

average rate = 2AB/(AB/70 +AB/40) = 2/(1/70 +1/40) = 2(40)(70)/(70+40)

average rate = 560/11 = 50 10/11 . . . mph

No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.

b) For two rates over the same distance (as above), the average is their harmonic mean:

average rate = 2r1·r2/(r1+r2)

c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.

4 0

3 years ago

Marketing companies are interested in knowing the population percent of women who make the majority of household purchasing deci

zimovet [89]

Answer: 271

Step-by-step explanation:

As per given description in the question, we have

Critical value for 90% confidence interval = $z_{\alpha/2}=1.645$