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insens350 [35]
3 years ago
12

Figure 2 was constructed using figure 1. For the transformation to be defined as a rotation, which statements must be true? Sele

xt three options.
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0

Answer:

The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).

The transformation is rigid.

Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.

If figure 1 is located 360° about point C, it will be mapped onto itself.

Step-by-step explanation:

You might be interested in
A rectangular room measures 21 feet by 28 feet with a 10-foot-high ceiling. The flooring is being replaced with carpeting that s
Morgarella [4.7K]

9514 1404 393

Answer:

  $6,797.09

Step-by-step explanation:

The area of the floor is ...

  (21 ft)(28 ft) = 588 ft²

Then the cost of the carpet material is ...

  (588 ft²)($10.45/ft²) = $6,144.60

The subtotal with installation fee is ...

  $6,144.60 +149.00 = $6,293.60

Adding the sales tax multiplies this amount by 1 +8% = 1.08, so the final price is ...

  1.08 × $6,293.60 = $6,797.09 . . . total price

7 0
3 years ago
Find the product of each pair of complex conjugates.<br>(3+8i)(3-8i)=
sdas [7]
3*3=9

3 *-8i = -24i

8i *3 =24i

8i*-8i = -64i^2 or i^2 =-1. -64*-1=64

-24i + 24i =0

9+64= 73

Answer 73
4 0
3 years ago
Read 2 more answers
Please help! I've been working on this for a few days and I just don't understand, it's due in a few hours. Thank you.
never [62]

Answer:

Part A: α = arc tan (y/x) = tan⁻¹ (y/x)

Part B: quadrant II α = arc tan (- y/x) = arc (- tan (y/x)) = - tan⁻¹ (y/x) 180°>α>90°

            quadrant III α = arc tan (-y)/(-x) = arc tan (y/x) = tan⁻¹ (y/x) 270°>α>180°

            quadrant IV α = arc tan (- y/x) = arc (- tan (y/x)) = - tan⁻¹ (y/x) 360°>α>270°

Part C: quadrant II 180°>α>90°  α = tan⁻¹ (-6/1) = - tan⁻¹ 6 = 180° - 80.53° = 99.47°

Step-by-step explanation:

PART A:

In this case we will use trigonometric function tanα to calculate angle α:

tanα = y/x => α = arc tan (y/x) = tan⁻¹ (y/x)

This formula is use in general way and in first quadrant  90°>α>0°

Part B:

But in the other quadrants you must know to use unit circle to reduce angle from II, III and IV quadrant to the first quadrant.

If angle is in the quadrant II  180°>α>90° then

tanα = - tan (180°-α)

If angle is in the quadrant III  270°>α>180° then

tanα = tan (α-180°)

If angle is in the quadrant IV  360°>α>270° then

tanα =- tan (360°-α)

Part C:

vector w (x,y) = (-1,6) this vector lies in quadrant II      180°>α>90°

180°- α = tan⁻¹ (-6/1) = - tan⁻¹ 6 = 80.53°  => 180° - α = 80.53°

α = 180° - 80.53 = 99.47°

It's not easy to understand this, but it's not easy for me to explain.

God with you!!!

5 0
3 years ago
25 POINTS
mr Goodwill [35]
[ 1 ] Given
[ 2 ] Exterior Sides Opposite Rays
[ 3 ] Definition of Supplementary angles
[ 4 ] First substitution
[ 5 ] Subtraction Property of Equality
[ 6 ] Second Substitution
[ 7 ] If corrsp. equal, the lines ||
4 0
3 years ago
A PAIR OF JEANS MARKED AT R450 IS SOLD AT DISCOUNT OF 25%.​
Stolb23 [73]

Original price is the jeans = Rs450

Discount = 25%

Discount amount

= 25% of 450

= 25%(450)

= 25/100 × 450

= 25/10 × 45

= 5/2 × 45

= 225/2

= Rs112.5

Price after discount

= original price - discount amount

= 450 - 112.5

= Rs337.5

4 0
3 years ago
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