The diagonals of a parallelogram bisect each other.

DH = HF and GH = HE

x + 5 = 2y
3x - 1 = 5y + 4

Solve the first equation for x.
x = 2y - 5

Now substitute 2y - 5 for x in the second equation.

3(2y - 5) - 1 = 5y + 4

6y - 15 - 1 = 5y + 4

6y - 16 = 5y + 4

y = 20

Now substitute 20 for y in the first original equation.

x + 5 = 2y

x + 5 = 2(20)

x + 5 = 40

x = 35

Answer: x = 35 and y = 20

4 0

3 years ago

Read 2 more answers

Solve the equation using square roots 2x^2=242

tia_tia [17]

$2x^2=242\qquad|:2\\\\x^2=121\qquad|\sqrt{(\ldots)}\\\\\\\boxed{x=11\qquad\vee\qquad x=-11}$

6 0

2 years ago

A standard deck of 52 playing cards contains four of each numbered card 2–10 and four each of aces, kings, queens, and

DerKrebs [107]

Answer:

A standard deck of 52 playing cards contains four of each numbered card 2–10 and four each of aces, kings, queens, and jacks. Two cards are chosen from the deck at random.

Which expression represents the probability of drawing a king and a queen?

StartFraction (4 P 1) (3 P 1) Over 52 P 2 EndFraction

StartFraction (4 C 1) (3 C 1) Over 52 C 2 EndFraction

StartFraction (4 P 1) (4 P 1) Over 52 P 2 EndFraction

StartFraction (4 C 1) (4 C 1) Over 52 C 2 EndFraction

it is D

Step-by-step explanation:

3 0

3 years ago

Ivan has 4 hours of Music on his MP3 player jazz makes up 1/6 of the total time how many hours of jazz are on Ivan's MP3 player

Alex777 [14]

4 hrs = 240 min.

Jazz = 1/6(240) = 40 min.

Therefore, Ivan's MP3 player has 40 min (2/3 hr) of jazz music.

5 0

2 years ago