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2 years ago

Triangle XYZ is rotated to create the image triangle X'Y'Z'.

Mathematics

1 answer:

Solnce55 [7]2 years ago

7 0

Answer:

The correct option is;

R0, 180°

Step-by-step explanation:

The coordinates of ΔXYZ are given as follows;

X(-2, 2), Y(1, 2), Z(0, 4)

The coordinates of ΔX'Y'Z' are given as follows;

X'(2, -2), Y'(-1, -1), Z'(0, -4)

Whereby, the coordinates of the point Y' is (-1, -2), we have the rule that describe the transformation of ΔXYZ to ΔX'Y'Z', given as follows

Coordinates of the preimage = (x, y)

Coordinates of the image = (-x, -y)

Which is in accordance with the transformation by rotation 180° about the origin.

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A map of Colorado says that the scale is 1 inch to 20 miles or 1 to 1,267,200. Are these two ways of reporting the scale the sam

goldenfox [79]

Answer:

1,267,200

Step-by-step explanation:

Given that the map reported that the scale is 1 inch to 20 miles.

Recall that there are 63,360 inches in 1 mile, thus, in 20 miles, we have 20 x 63,360 = 1,267,200

Therefore, the scale of 1 inch to 20 miles can also be represented as 1 to 1,267,200

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2 years ago

What number is 1/10 as great as 7962

Sliva [168]

A number 1/10 as great as 7962 would be 796.2

You get this answer by either dividing 7,962 with 10 which gives you 769.2

Or you can multiply 7,962 with 1/10 to get 7,962/10. If you simplify then you get 796 1/5 or 796.2.

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2 years ago

Read 2 more answers

the members of the gardening group plan to build a walkway through the garden as formed by the IHOP potenuse of each of the four

aliya0001 [1]

Answer:

50.24 yards

Step-by-step explanation:

We will use the pythagorean theorem to find hypotenuse of each of the 4 triangles.

Pythagorean Theorem is $Hypotenuse^2=OneLeg^2+AnotherLeg^2$

For Spinach area, two of the legs are 8 and 6. Solving for hypotenuse:

$hyp^2=6^2+8^2\\hyp^2=100\\hyp=10$

For watermelon area, two of the legs are 12 and 8. Solving for hypotenuse:

$hyp^2=12^2+8^2\\hyp^2=208\\hyp=\sqrt{208}$

in red peppers area, the hypotenuse is already given as 15. But we need to find one leg since that will be the leg of the triangle in tomatoes area. Hypotenuse is 15 and one leg is 12, so the other leg is:

$15^2=12^2+eg^2\\15^2-12^2=leg^2\\leg=9$

So, in tomatoes area, we have one leg 9 and another leg 6. Solving for hypotenuse:

$hyp^2=9^2+6^2\\hyp^2=117\\hyp=\sqrt{117}$

Adding all the four hypotenuses, we get the length of the walkway:

Length of Walkway = $10+\sqrt{208} +15+\sqrt{117}\\ =50.24$ yards

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2 years ago

A lot cost $120,000 the house cost 3 times more than a lot how much did the house cost

raketka [301]

The house 3 times more is 360,000

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2 years ago

A high-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. Suppose that the radius

lord [1]

The increase of the radius is a linear increase since we have the constant rate of 0.07 inches per second

The equation for a linear growth/decay is given by the form $y=mx+c$ where $m$ is the rate of increase and $c$ is the value of $y$ when $x=0$

We have
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So the equation is $r=0.07t+36$

The length of the radius when $t=400$ seconds is
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$r=64$ inches

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2 years ago