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2 years ago

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How to find the measurement of a parallelogram

1 answer:

Shtirlitz [24]2 years ago

4 0

Answer:

In a parallelogram, consecutive angles are supplementary. Thus,

B + C = 180^{\circ}

(2x+15)+x=180

3x+15=180

3x=165

x=55

Step-by-step explanation:

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makkiz [27]

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2 years ago

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Please answer this correctly

Alenkasestr [34]

Answer:

5/12

Step-by-step explanation:

The probability of rolling a number greater than 1 is 5/6, because 5 numbers on a 6-sided dice are greater than 1.

The probability of rolling an even number is 3/6, because 3 numbers on a 6-sided dice are even numbers.

$5/6 \times 3/6$

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3 years ago

Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are .

Evgen [1.6K]

QUESTION 1

The point C(3.6, -0.4) divides AB in the ratio 3 : 2.

The coordinates of A are (-6, 5).

Let the coordinates of B be $(x_2,y_2)$

We use the formula:

$x=\frac{mx_2+nx_1}{m+n}$ to determine the x-coordinate of B.

We substitute the known values to obtain:

$3.6=\frac{3x_2+2(-6)}{3+2}$

$3.6=\frac{3x_2-12)}{5}$

$3.6\times 5=3x_2-12$

$18=3x_2-12$

$18+12=3x_2$

$30=3x_2$

This implies that:

$x_2=10$

We also use the formula:

$y=\frac{my_2+ny_1}{m+n}$ to find the y-coordinate.

$-0.4=\frac{3y_2+2(5)}{3+2}$

$-0.4=\frac{3y_2+10}{5}$

$-0.4\times 5=3y_2+10$

$-2-10=3y_2$

$-12=3y_2$

$-4=y_2$

The coordinates of B are (10,-4)

QUESTION 2.

If point D divides CD in the ratio 4 : 5.

Then the coordinates of D are:

$(\frac{4(10)+5(3.6)}{4+5}, \frac{4(-4)+5(-0.4)}{4+5})$

$(\frac{58}{9}, \frac{-18}{9})$

The coordinates of D are $(\frac{58}{9}, -2)$

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3 years ago

If a = 5 units , b = 8 C = 4 Units, and d = 3 units what is the volume of the composite figure?

Alexandra [31]

Answer:

$V = 208\,u^{3}$ (Option C)

Step-by-step explanation:

The volume of the composite figure is:

$V = \frac{1}{2}\cdot (3\,u)\cdot (4\,u)\cdot (8\,u) + (5\,u)\cdot (4\,u)\cdot (8\,u)$

$V = 208\,u^{3}$ (Option C)

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2 years ago

What is the volume of four cubes with a side length of fraction 1 over 4 foot? V = s3, where s is the side length.

kenny6666 [7]

V=(1/4)³
V=1/16 ft³
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