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Dovator [93]
3 years ago
15

In the parallelogram DEFG, DH=x+1, HF=3y, GH=3x-4, and HE=5y+1. Find the values of x and y. The diagram is not drawn to scale.

Mathematics
1 answer:
RideAnS [48]3 years ago
8 0

Answer:

Step-by-step explanation:

Given:  In parallelogram DEFG,

DH = x + 1

HF = 3y

GH = 3x - 4

and HE = 5y + 1

Solution: Since, DH,HF, GH and HE represents the diagonals of the parallelogram and we know that the diagonals of the parallelogram bisect each other, therefore

x+1=3y            (1)

3x-4=5y+1      (2)

Multiply equation (1) with 3 and then subtract equation (2) from it, we get

3x+3-3x+4=9y-5y-1

7=4y-1

y=2

Substituting the value of y=2 in equation (1), we get

x+1=3(2)

x=5

Therefore, the value of x and y are 5 and 2 respectively.

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a circle is centered at the point -3,2) and passes through the point (1,5). The radius of the circle is blank units. The point (
lianna [129]
It's important that you share the complete question.  What is your goal here?  Double check to ensure that you have copied the entire problem correctly.

The general equation of a circle is x^2 + y^2 = r^2.  Here we know that the circle passes thru two points:  (-3,2) and (1,5).  Given that a third point on the circle is (-7, ? ), find the y-coordinate of this third point.


Subst. the known values (of the first point) into this equation:  (-3)^2 + (2)^2 = r^2.  Then 9 + 4 = 13 = r^2.

Let's check this.  Assuming that the equation of this specific circle is 
x^2 + y^2 = r^2 = 13, the point (1,5) must satisfy it.

(1)^2 + (5)^2 = 13 is not true, unfortunately.

(1)^2 + (5)^2 = 1 + 25 = 26 (very different from 13).

Check the original problem.  If it's different from that which you have shared, share the correct version and come back here for further help.



3 0
3 years ago
What is the quotient when x-25 is divided by x-5?
galina1969 [7]

Answer: x-5

Step-by-step explanation: well idk

3 0
3 years ago
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Sally is having a party and she has invited nine of her friends.
Alexeev081 [22]

Answer:

1) 5 limes, 5 lemons, 1,000 mL of pineapple juice, 2,000 mL of lemonade, 1,000 of orange juice

2) Limes = $2, Lemons = $2.5, Lemonade = $1.60, Orange Juice = 80c, Pineapple Juice = 90c

Step-by-step explanation:

1/2 limes · 10 = 5

1/2 lemons · 10 = 5

100 mL of pineapple juice · 10 = 1,000 mL

200 mL of lemonade · 10 = 2,000 mL

100 mL of orange juice · 10 = 1,000 mL

Cost:

5 limes · 0.4 = $2

5 lemons · 0.5 = $2.5

mL to L

1,000 mL of pineapple juice = 1 L, this costs 90¢

2,000 mL of lemonade = 2 L, this costs $1.60

1,000 mL of orange juice = 1 L, this costs 80¢

Overall:

5 limes for $2

5 lemons for $2.5

1 L of of pineapple juice for 90¢

2 L of lemonade for $1.60

1 L of orange juice for 80¢

3 0
3 years ago
I HAVE NOTHING TO SAY
guapka [62]

Answer:

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2 - 4

3 - 6

5 - 10

7 - 14

Step-by-step explanation:

Because we have 5 and 10, we know that width is lenght multiple by 2, and lenght is width divided by 2.

3 0
3 years ago
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