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Neko [114]
3 years ago
9

Keith is using photo software to enlarge a photograph that is 4 inches by 6 inches to 9 inches by 13.5 inches. What is the scale

factor of the dilation?
Mathematics
1 answer:
anzhelika [568]3 years ago
5 0

Answer:

2.25

Step-by-step explanation:

The old width of 4 inches became a new width of 9 inches.

Old: 4 in.

New 9 in.

The old length of 6 inches became a new length of 13.5 inches.

Divide the new size by the corresponding old size.

9/4 = 2.25

13.5/6 = 2.25

You see in both cases, the scale factor is 2.25

The scale factor is 2.25

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Suppose KLMN ~ PQRS. Find the value of x.
arlik [135]

Complete question is attached.

Answer:

B) 8

Step-by-step explanation:

In this question, KLMN ~ PQRS. This means they are similar shapes.

From the image, we could denote that:

KL ~ PQ

LM ~ QR

Given that:

KL = 12

PQ = 30

QR = 20

LM = x

To find x, let's use tge expression:

\frac{KL}{PQ} = \frac{LM}{QR}

=  \frac{12}{30} = \frac{x}{20}

Cross multiplying, we have:

12 * 20 = 30x

240 = 30x

To find x, let's divide both sides by 30.

\frac{240}{30} = \frac{30x}{30}

8 = x

x = 8

The correct option is option B.

3 0
4 years ago
Point ​F​ is located at (3, -2) on the grid. Which coordinate pair is located 5 units from Point F?
postnew [5]
(3,-8)
You move down from those coordinates
X stays the same while it just moves down only Y changes
3 0
3 years ago
Plz I’m had about 3 mental breakdowns you are my only help!
netineya [11]
You have to add the 2 yards together... 5,215 + 1,850 = 7,065. If 2 bags will cover 2,500 square feet, then 1 bag will cover 1,250. Divide 7,065 by 1,250 and you will need 6 bags of seed. For problem 2, add all the purchases together, which will be $250.50. This will get him a 30% discount. So his total price after the discount will be about $175.35. For problem 3, this is an exponential function. The $10,000 loan with 9% rate over 5 years is equal to 10,000(1+0.09)^5 which is about $15,500, so he will have to pay an additional $5,500.
3 0
4 years ago
Read 2 more answers
Part of a school’s stage is shaped like a sector of a circle, as shown below. The students do not yet know the exact dimensions
Natasha2012 [34]

Answer:

  • 68.78° or 0.6 rad

Step-by-step explanation:

<u>Use the formula:</u>

  • degrees/360° = L/circumference
  • or
  • radians/π = L/circumference

<u>As per given:</u>

l = 12 feet, r = 10 feet

  • degrees = 360°*12/(2*3.14*10) = 68.78°
  • radians = π rad *12/(2π*10) = 0.6 rad
8 0
3 years ago
*<br> 4. Find the measure of each angle<br> Please help need answers ASAP
nekit [7.7K]

Answer:

55°, 125°

Step-by-step explanation:

angle EFG = 180°

angle EFH + angle GFH = angle EFG (Colinearity)

substitute the values,

6x - 5 + 12x + 5 = 180°

18x = 180°

(÷18)

x = 10

substitute values of x in both the requires angles,

angle EFH

= (6 × 10) -5

= 55°

angle GFH

= (12 × 10) + 5

=125°

to check,

55° + 125° = 180°

6 0
3 years ago
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