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goblinko [34]
3 years ago
13

Find the values of x and y that make these triangles congruent by HL.

Mathematics
1 answer:
Serhud [2]3 years ago
7 0

Leg CB = x and leg DE = y - 1. Becuase of the markings on the triangles, we know that CB = DE; therefore, x = y - 1. So let's use that x value when we set the 2 hypotenuses equal to each other. Before any substition, 3x - 2 = 2y + 1. Subbing in for x we have 3(y - 1) - 2 = 2y + 1. And 3y - 3 - 2 = 2y + 1. Combining like terms we have y = 6. If y = 6, we will sub it into the leg equation to find x. x = y - 1; therefore, x = 6 - 1 and x = 5. There you go! x = 5 and y = 6

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Ben’s Video shack charges $1.50 to rent a video game for a night. Mr. Gareth’s Entertainments charges $5.00 plus $0.50 per night
Leya [2.2K]

Answer: 5 nights

Step-by-step explanation: Mr. Gareth's Entertainments has a one time fee of $5.00, then charges $0.50 per night for a game, while Ben's Video shack charges $1.50 to rent a video game for a night. We can set up equations for both places. We can let x = the amount of nights the game is being rented for. Mr. Gareth's Entertainments = $0.50x + $5.00 because $0.50 is being charged every night and $5.00 was charged only once. Ben's Video shack = $1.50x. We can make the equations equal to eachother, so $1.50x = $0.50x + $5.00

We can subtract by $0.50x both sides to make it so only one side will have x. This will make the equation easier to solve. By subtracting $0.50x from both sides, we get $1.00x = $5.00. Since we made x = the amount of nights the game is being renmted for, we know x = 5, so it would take 5 nights.

We can double check. $1.50 * 5 = $7.50

$0.50 * 5 = $2.50

$2.50 + $5 = $7.50

7 0
3 years ago
What is the answer of 9X23+3X39-28=n
sattari [20]
It would be 503 hope this helps good luck
5 0
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Read 2 more answers
Find the slope of this line: (15,7) (3,-2)<br><br> Help
Oliga [24]

Answer:

m=\frac{3}{4}

Step-by-step explanation:

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(15,\:7\right),\:\left(x_2,\:y_2\right)=\left(3,\:-2\right)

m=\frac{-2-7}{3-15}

\mathrm{Refine}

m=\frac{3}{4}

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3 years ago
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Answer:

the answer to the problem is m=-2000

5 0
3 years ago
45.36482 rounds to the neatest thousandths
Pani-rosa [81]

Answer:

45.365

Step-by-step explanation:

~~~~~~~~~~~~~~

3 0
4 years ago
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