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Anestetic [448]
3 years ago
8

Triangle MNO is reflected over the x-axis and then translated up 4 and right 3. On a coordinate plane, triangle O M N has points

(1, 3), (2, 1), (negative 1, 2). Triangle O prime M prime N prime has points (4, 1), (5, 3), (2, 2).
How can the transformation be amended such that the translation can occur before the reflection and have the image remain in the same
position?

Mathematics
1 answer:
Schach [20]3 years ago
8 0

Answer:

Option A. Translate the pre-image down 4 and right 3 and then reflect the figure over the x-axis

Step-by-step explanation:

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Perform the requested operation or operations. f(x) = x-5/8 g(x) = 8x + 5 find g(f(x))
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Step-by-step explanation:

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3 0
3 years ago
In the diagram, O is the centre of the circle, BD = DC and PAB is a straight line. Prove that AD bisects the angle CAP. ​
nadya68 [22]

Answer:

BAC=BDC(BDX)=30°

Step-by-step explanation:

We know that BD=OD.

But OD=OB= Radius of the circle.

Therefore

BD=OD=OB

BDO is equilateral triangle.

Angle DBO= 60°

Now let us take the intersecting point of CD and AB as X.

In triangle BDX,

BXD= 90°(BXD+BXC=180°, BXD+90°=180°, BXD=90°)

BXD+DBX+BDX=180°{Angle Sum Property}

90°+60°+BDX= 180°

BDX= 30°

We also know that,

BDC(BDX)= BAC (Angles lie on the same arc{BC} are equal in measure.

Therefore,

BAC=BDC(BDX)=30°

8 0
2 years ago
A person leaves work and travels west for 15 miles. They then turn left and travel south for 10 miles, to their home. If a bird
Ahat [919]

Given:

A person leaves work and travels west for 15 miles.

They then turn left and travel south for 10 miles, to their home.

To find:

Distance between work place and home.

Solution:

The person travels west for 15 miles, then travel south for 10 miles.

It means, it forms a right angle triangle with legs 15 and 10.

To find the distance between work place and home we need to find the hypotenuse of the triangle.

Pythagoras theorem:

Hypotenuse^2=Base^2+Perpendicualr^2

(OB)^2=(15)^2+(10)^2

(OB)^2=225+100

(OB)^2=325

Taking square root on both sides.

OB=\sqrt{325}

OB=\approx 18.03

Therefore, the bird would fly 18.03 miles.

3 0
3 years ago
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