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sineoko [7]
3 years ago
9

The figures below are similar.

Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0

Answer:

  a) 2.5

  b) 6.25

Step-by-step explanation:

For similar figures, the ratio of any corresponding linear dimensions is the same. The ratio of areas is the square of that.

<h3>Application</h3>

The ratio of linear dimensions, larger to smaller, is ...

  (30 yd)/(12 yd) = 2.5

<h3>a) Perimeter</h3>

Perimeter is a linear dimension, the sum of side lengths. The ratio of perimeters is 2.5.

<h3>b) Area</h3>

The ratio of areas, larger to smaller, is the square of the scale factor for side lengths:

  (2.5)² = 6.25

The ratio of the areas of the larger to smaller figure is 6.25.

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The student council needs to make a banner for the seventh-grade dance. The dance committee decides that the length of the banne
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Answer:  Choice A) at most 2.5 ft wide

Work Shown:

16w ≤ 40

w ≤ 40/16

w ≤ 2.5

This says that the banner must be at most 2.5 ft wide (choice A)

In other words, the largest the width can get is w = 2.5; we can think of this as the ceiling value.

6 0
3 years ago
Work out the value of s
diamong [38]

Answer:

s=6

Step-by-step explanation:

s= 10(1/2)+ -2(1/2)^2

s= 5+ (-1)^2

s= 5+1

s=6

6 0
3 years ago
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Annie wants to raise a pig for the county fair. The figure below is a diagram of what the pig pen will look like in order to fit
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Answer:

30 to 50 more feet

Step-by-step explanation:

Add up all the sides to find the perimeter of the shape for the pen:

18 + 22.5 + 5 + 4.5 = 50

Since 50 is less than 80 to 100, then Annie has 30 to 50 more feet she can use for the pen.

5 0
3 years ago
Aisha is sketching a figure in art class. Half of the figure is shown. If Aisha reflects the figure shown over the y-axis, what
Mnenie [13.5K]

Answer: (5,3)

Step-by-step explanation:

1. Let's say you opened your laptop and positioned the screen so it's exactly at 90°—a right angle—from your

keyboard. Now, let's say you could take the screen and push it all the way down beyond 90°, until the back of the

screen is flat against your desk. It looks as if the angle disappeared, but it hasn't. What is the angle called, and what

is its measurement?

A. Straight angle at 180°

B. Linear angle at 90°

C. Collinear angle at 120°

D. Horizontal angle at 180°

2. What is defined below?

__________: a portion of a line bounded by two points

A. arc

B. axis

C. ray

D. segment

3. Given ⃡ and ⃡ intersect at point .

Which conjecture is always true about the given statement?

A. =

B. ∠ is acute.

C. ⃡ is perpendicular to ⃡

D. , , , and are .

4. The figure shows lines r, n, and p intersecting to form angles numbered 1, 2, 3, 4, 5, and 6. All three lines lie in the

same plane.

Based on the figure, which of the individual statements would provide enough information to conclude that line r is

perpendicular to line ? Select ALL that apply.

∠2 = 90°

∠6 = 90°

∠3 = ∠6

∠1 + ∠6 = 90°

∠3 + ∠4 = 90°

∠4 + ∠5 = 90°

5. Match each term with its definition.

A portion of a line consisting of two points and all points between them.

A connected straight path. It has no thickness and it continues forever in both directions.

A figure formed by two rays with the same endpoint.

The set of all points in a plane that are a fixed distance from a point called the center.

A portion of a line that starts at a point and continues forever in one direction.

Lines that intersect at right angles.

A specific location, it has no dimension and is represented by a dot.

Lines that lie in the same plane and do not intersect

perpendicular lines

angle

line segment

parallel lines

circle

point

line

ray

1. A transformation takes point A to point B. Which transformation(s) could it be?

A. F only

B. F and R only

C. F and T only

D. F, R, and T

2. The point (−7,4) is reflected over the line = −3. Then, the resulting point is reflected over the line = . Where

is the point located after both reflections?

A. (−10, −7)

B. (1, 4)

C. (4, −7)

D. (4, 1)

3. Given: with coordinates of (−3, −1) and (2, 1)A with coordinates of

′

(−1, 2) and

′

(4,4)

Which translation was used?

A. (

′

,

′

) → ( + 2, + 3)

B. (

′

,

′

) → ( + 2, − 3)

C. (

′

,

′

) → ( − 2, + 3)

D. (

′

,

′

) → ( − 2, − 3)

4. Point P is located at (4, 8) on a coordinate plane. Point P will be reflected over the x-axis. What will be the

coordinates of the image of point P?

A. (−8, 4)

B. (−4, 8)

C. (4, −8)

D. (8, 4)

5. Point ′ is the image when point is reflected over the line = −2 and then over the line = 3. The location of ′

is (3, 7). Which of the following is the location of point ?

A. (−7, −1)

B. (−7, 7)

C. (1, 5)

D. (1, 7)

6.  is rotated 90° about the origin and then translated using (, ) → ( − 8, + 5). What are the coordinates of

the final image of point under this composition of transformations?

A. (−7, 10)

B. (−7, 0)

C. (−9, 10)

D. (−9, 0)

1. The graph of a figure and its image are shown below. Identify the transformation to map the image back onto the

figure.

o Reflection

o Rotation

o Translation

o Reflection

o Rotation

o Translation

o Reflection

o Rotation

o Translation

o Reflection

o Rotation

o Translation

5 0
2 years ago
Factor the equation below.<br> f(x) = x2 + x - 6
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Answer:

3x - 6

Step-by-step explanation:

Uwu if you want me to explain it more let me know

4 0
3 years ago
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