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3 years ago

HELP! Look at the figure, PQRS. Find the values of x and y. a) x = 5, y = 7 b)x = 6, y = 8 c)x = 6, y = 9 d)x = 7, y = 10

Mathematics

1 answer:

maks197457 [2]3 years ago

7 0

Answer:

c) x = 6, y = 9

Step-by-step explanation:

The figure is a parallelogram. The diagonals of a parallelogram bisect each other, so each part of a given diagonal is equal to the other part.

3x = 2y

2x = y+3

Solving the second equation for y, we have ...

y = 2x -3

Substituting into the first equation gives ...

3x = 2(2x -3)

3x = 4x -6 . . . . simplify

6 = x . . . . . . . . .add 6 -3x

y = 2(6) -3 = 9 . . . . use the above expression for y

The values of x and y are (x, y) = (6, 9).

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How do you solve the system:<br> y+1=2x<br> 5y+5=10x

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Answer:

choose "infinitely more solutions"

Step-by-step explanation:

Let's solve this system by substitution method

y+1=2x

- 1 = - 1

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3 years ago

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3 years ago

How do you simplify the radical √144 ?

SVETLANKA909090 [29]

Answer:

its 12

Step-by-step explanation:

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100 is close to 144

and 11x11= 121

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3 years ago

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They have a rectangle ABCD as shown below, where AB = 24cm BC = 10cm and AE = 13cm

alex41 [277]

Answer:

A. Area of ABCD = 240 $cm^{2}$

B. 60 cm

C. 36 cm

D. 50 cm

Step-by-step explanation:

Given: AB = 24cm BC = 10cm and AE = 13cm.

A. Since a rectangle is a 2 dimensional figure, it has no volume but area.

So that,

the area of the rectangle ABCD = length x width

= 24 x 10

= 240 $cm^{2}$

B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.

$BD^{2}$ = $BC^{2}$ + $DC^{2}$

= $10^{2}$ + $24^{2}$

= 676

BD = $\sqrt{676}$

= 26

BD = 26 cm

so that,

the circumference of BCD = 10 + 24 + 26

= 60 cm

C. To calculate the circumference of the BEC triangle,

AC = 26 cm, AE = 13 cm

CE = 26 - 13

= 13 cm

CE = 13 cm

The circumference of the BEC triangle = 13 + 13 + 10

= 36 cm

D. The circumference of the DEC triangle = 13 + 13 + 24

= 50 cm

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3 years ago

I have to find an equation for a table

Anna35 [415]

Let's say imput is i and that output is o.

The formula is 2 ^ i = o

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2^1 = 2

2^2 = 4

2^3 = 8

2^4 = 16

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Notice how the numbers match?

Hope this helped :)

8 0

3 years ago

HELP! Look at the figure, PQRS. Find the values of ​x and y. a) x = 5, y = 7 b)x = 6, y = 8 c)x = 6, y = 9 d)x = 7, y = 10

HELP! Look at the figure, PQRS. Find the values of x and y. a) x = 5, y = 7 b)x = 6, y = 8 c)x = 6, y = 9 d)x = 7, y = 10