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3 years ago

Solve: The diagonals of a parallelogram are as follows:

Mathematics

1 answer:

pochemuha3 years ago

7 0

Answer:

x = 3, y = 2.

Step-by-step explanation:

I assume that O is the point of intersection of the diagonals. The diagonals of a parallelogram bisect each other so here we have AO = OC and DO = OB.

Therefore 5y + 1 = 6y - 1

1 + 1 = 5y - 5y

2 = y.

2(x + 1) = 3x - 1

2x + 2 = 3x - 1

2 + 1 = 3x - 2x

3 = x.

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4688-3) -30X-5 CX-5)

pshichka [43]

Answer:

x = 13/3

Step-by-step explanation:

4(8x-3) - 30x = 5(x-5)

Distribute

32x - 12 - 30x = 5x -25

Combine like terms

2x -12 = 5x-25

Subtract 2x from each side

2x-12-2x = 5x-2x -25

-12 = 3x-25

Add 25 to each side

-12+25 = 3x-25+25

13 = 3x

Divide each side by 3

13/3 = x

4 0

4 years ago

Read 2 more answers

In the air, it had an average speed of 16 1616 m/s m/sstart text, m, slash, s, end text. In the water, it had an average speed o

Diano4ka-milaya [45]

Answer:

t_a = 7 s

t_w = 5 s

Step-by-step explanation:

Given:

- The average speed in air v_a = 16 m/s

- The average speed in water v_w = 3 m/s

- The total distance D = 127 m

- The total time T = 12 s

Find:

How long did the stone fall in air and how long did it fall in the water?

Solution:

- Lets time taken by stone to drop through air as t_a = t_a.

- The time taken in water would be t_w = (12 - t_a)

- The total distance covered can be calculated as:

D = v_a*t_a+ v_w*(12 - t_a)

127 = 16*t_a + 3*(12 - t_a)

Simplify and solve for t:

91 = 16*t_a - 3t_a

13*t_a = 91

t_a = 7 s

t_w = 5 s

8 0

3 years ago

Which expression represents the phrase 12 more than a number times 16

Mars2501 [29]

12+16x is the expression

8 0

3 years ago

Read 2 more answers

How do i solve 2 × =66

Aleks04 [339]

Answer:

You just have to divide the equation by "x"'s coefficient (2).

2x/2=x

66/2=33

x=33

Step-by-step explanation:

5 0

3 years ago

A researcher thinks that a person's mood has an effect on how helpful that person is likely to be. To test this, the researcher

eimsori [14]

Answer:

One possible confound for the experiment is the attitude of the research assistants.

Step-by-step explanation:

A confounder simply means a variable that has impact in influencing both the dependent variable and independent variable, causing a spurious association.

So, we can conclude that the attitudes of the research assistants have positive and negative impacts in determining the reactions of both participants in the experiment.

The rudeness of a research assistant will negatively impact the response of the participant allocated to him/her.

The calmness of the other research assistant will positively impact the response of the participant allocated to him/her.

5 0

3 years ago