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3 years ago

Quadrilateral EFGH has coordinates E(2a, 2a), F(3a, a), G(2a, 0), and H(0, 0). Find the midpoint of he

2 answers:

4 0

The formula of the midpoint of HE:
$\left(\dfrac{x_H+x_E}{2};\ \dfrac{y_H+y_E}{2}\right)$

We have H(0; 0) and E(2a; 2a). Substitute:
$\left(\dfrac{0+2a}{2};\ \dfrac{0+2a}{2}\right)=(a;\ a)$

gulaghasi [49]3 years ago

4 0

Answer:

The answer is (a, a)

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Two beauticians, Lydia and Jackie, are working on your hair. Lydia can complete the work in 2 hours, while Jackie can complete t

Pavlova-9 [17]

That is not correct. I just took the test and the answer is 2/3

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3 years ago

Read 2 more answers

Priya has picked 1 1/2 cups of raspberries which is enough for 3/4 of the cake how many cups does she need for the whole cake

Zina [86]

Answer:

So Priya need $2$ cups of raspberries for the whole cake.

Step-by-step explanation:

Given data;

$1\frac{1}{2}=\frac{3}{2}$ cups of raspberries which is enough for $\frac{3}{4}$ of the cake.

For making $\frac{3}{4}$ of the cake need $\frac{3}{2}$ cups of raspberries.

For making $1$ cake need $\frac{\frac{3}{2}}{\frac{3}{4}}$ cups of raspberries.

For making $1$ cake need $\frac{3}{2} \times \frac{4}{3}=2$ cups of raspberries.

∴ Priya need $2$ cups of raspberries for the whole cake.

3 0

2 years ago

Can anyone help me find the (?,?) coordinates? The given shape is a parallelogram.

Sonja [21]

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

Solution:

Given shape is a parallelogram.

Construction: Draw a line joining the diagonals.

<em>In parallelogram, diagonals bisect each other.</em>

Solve it using mid-point formula:

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

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

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

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

Using this midpoint find the missing coordinate.

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

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-coordinates and y-coordinates.

$$ \frac{m+h}{2}=\frac{x}{2}, \ \ \ \frac{n}{2} = \frac{y}{2}$

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

m + h = x, n = y

x = m + h and y = n

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

7 0

3 years ago

At the aquarium, there are 200 fish for every 1 shark. What is the ratio of sharks to fish?

damaskus [11]

Answer:

1 to 200 or 1:200 or 1/200

Step-by-step explanation:

If there is 1 shark for every 200 fish then the ratio would be sharks (1) over fish (200)

3 0

3 years ago

Determine the number of significant digits in the measurement 3.08 cm

BabaBlast [244]

<h3>The measurement of 3.08 cm has 3 significant digits in it .</h3>

We say this because a measurement is considered significant if it has non zero numbers in it , which 3.08 cm has . And a measurement is considered a significant digit if it has zero between it's non zero digits . Hence we say that 3.08 cm has 3 significant digits .

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3 years ago