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Mrac [35]
3 years ago
15

Sylvia enlarged a photo to make a 24 x 32 inch poster using the dilation DQ,4. What are the dimensions, in inches, of the origin

al photo? 3 × 8 6 × 8 12 × 16 18 × 24
Mathematics
1 answer:
RSB [31]3 years ago
3 0

Answer:

6 × 8

Step-by-step explanation:

Since the dilation factor is 4, and the image was ENLARGED, that means the original photo was smaller.  Smaller by a factor of 4.

So, we take the new dimensions (24x32) and we divide each side by the dilation factor of 4:

(24/4) x (32/4) = 6 x 8

It couldn't be the first answer choice (3x8) because  that doesn't maintain the ratio of the enlarge picture.  The other possible answers do match the right ratio... but only 6x8 is scaled by a factor of 4.

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Find: m∠1, m∠2, and m∠5 in degrees
gulaghasi [49]

Answer:

<1 = 100

<2 = 80

Step-by-step explanation:

Angle 1 and angle 2 are supplementary

Supplementary angles add to 180 degrees

<1 + <2 = 180

The angles are in a ratio of 5 to 4

Multiply by x to get the measure of each angle

<1 = 5x  <2 = 4x

5x+4x = 180

Combine like terms

9x = 180

Divide by 9

9x/9 =180/9

x =20

<1 = 5x = 5*20 = 100

<2 = 4x = 4*20 = 80

6 0
3 years ago
Read 2 more answers
Investment banks generally provide all the following services except:
Natasha_Volkova [10]

Answer:

D. making loans to businesses for capital investment.

Step-by-step explanation:

We can define the responsibilities of investment bans like- these banks specialize in complex financial transactions like underwriting.

These also play the role of broker or financial adviser for institutional clients. These banks helps organisations to raise capital.

These also help companies and governments issue new securities.

So, the answer is -

Investment banks generally provide all the following services except: making loans to businesses for capital investment.

7 0
3 years ago
Read 2 more answers
Not sure about this one help please
lutik1710 [3]

Answer:

a) -1

Step-by-step explanation:

Slope is also known as the gradient

1. assign a value to x and solve for y:

when x = 2, y = 2

when x = 4, y = 0

2. Next, use the equation of a straight line to find the gradient

y = mx + c

y is the y-coordinate, m is the gradient, x is the x-coordinate, c is the point where the line crosses the y-axis, which is found by equating y to 0 and solving for x

so y = mx + c becomes 2 = m*2 + 4, which then becomes 2 = 2m + 4

2m = -2 (take 4 away from 2)

<u>m = -1 </u>

5 0
3 years ago
How do I solve this? help please! xx
Anna35 [415]
This graph is composed of four straight line segments.  You'll need to determine the slope, y-intercept and domain for each of them.   Look at the first segment, the one on the extreme left.  Verify yourself that the slope of this line segment is 1 and that the y-intercept would be 0 if you were to extend this segment all the way to the y-axis.  Thus, the rule (formula, equation) for this line segment would be f(x)=1x+0, or just f(x)=x, for (-3,-1).  Use a similar approach to write rules for the remaining three line segments.

Present your answer like this:
               x, (-3,-1)
f(x) =      -1, (-1,0)
               one more here
               one more here

5 0
3 years ago
5x + 1 over 2y2
Oxana [17]

Step-by-step explanation:

So for this question just substitute the value and work out. I thought it it to the power of 2 as I can't tell from the question.

4 0
3 years ago
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