All categories

3 years ago

What set of reflections would carry triangle ABC onto itself?

1 answer:

7 0

The correct answer is y-axis, x-axis, y-axis, x-axis. The y-axis is the vertical line, and the x-axis is the horizontal line. If the triangle is in the upper right quadrant, and is reflected first over the y-axis, it will be in the upper left quadrant. Then, when the triangle is reflected again over the x-axis, it will be in the lower left quadrant, diagonal to the initial triangle. When the triangle is again reflected over the y-axis, it will be in the lower right quadrant, below the initial triangle. Finally, when the triangle is reflected over the x-axis, it will be on top of the original triangle in the upper right quadrant.

You might be interested in

9x-y=5 7x-6y=5 Solve the system by the substitution method

qwelly [4]

9x - y = 5
7x - 6y = 5

Solve both equations for one variable. I'll solve for y.

9x - y = 5 Subtract 9x from both sides
-y = -9x + 5 Divide both sides by -1
y = 9x - 5

7x - 6y = 5 Subtract 7x from both sides
-6y = -7x + 5 Divide both sides by -6
y = $\frac{7}{6}$ x - $\frac{5}{6}$

Since both equations equal y, you can set them equal to each other and solve for x.

9x - 5 = $\frac{7}{6}$ x - $\frac{5}{6}$ Multiply both sides by 6 to eliminate the fractions
54x - 30 = 7x - 5 Subtract 7x from both sides
47x - 30 = -5 Add 30 to both sides
47x = 25 Divide both sides by 47
x = $\frac{25}{47}$

Now, plug that x-value into the x of either equation. I'll plug it into 9x - y = 5.

9x - y = 5 Plug in the x-value
9( $\frac{25}{47}$ ) - y = 5 Multiply
 $\frac{225}{47}$ - y = 5 Subtract $\frac{225}{47}$ from both sides
-y = 0.21276595744 (I had to convert it to a decimal) Divide both sides by -1
y = -0.21276595744

So, the answer to the system is (0.53191489361, -0.21276595744)

8 0

4 years ago

4(610−15)+0.4= ? please help

cricket20 [7]

4(595)+0.4 =
2380 = 0.4 =
2380.4 =
4(610-15)+0.4= 2380.4

I hope this helps

5 0

3 years ago

The digits of a two-digit number sum to 8. When the digits are reversed, the resulting number is 18 less than the original numbe

Oksanka [162]

Answer:

original number = 53

Step-by-step explanation:

In two digits number:

Let the tens place digit be x and units place digit be y.

So,

Original number = 10x + y

Number obtained after reversing the digits = 10y + x

According to the first condition:

x + y = 8.... (1)

According to the second condition:

10y + x = 10x + y - 18

10y + x - 10x - y = - 18

9y - 9x = - 18

-9(x - y) = - 18

x - y = - 18/(-9)

x - y = 2.......(2)

Adding equations (1) & (2), we find

x + y + x - y = 8 + 2

2x = 10

x = 10/2

x = 5

Plug x = 5 in equation (1), we find:

5 + y = 8

y = 8 - 5

y = 3

10x + y = 10*5 +3 = 50 + 3 = 53

Hence, original number = 53

7 0

3 years ago

Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequ

Assoli18 [71]

Answer:

There is 20 dollars and the cost is 1.29. You need to have more money than the cost

To see if he can buy Y many songs

20 > 1.29 x Y

If you want how many songs

20/1.29=amount of songs

20/1.29 = 15.5

You round down because he cannot afford the full 16th song but can afford the 15th song fully so he can buy 15 songs

Hope this helps. If you have any questions you can ask

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Multiply. Q+5/2x4q/q+4

melomori [17]

$(Q+5/2)(4Q/Q+4)=(Q+5/2)8=\boxed{8Q+20}$

Hope this helps.

4 0

3 years ago