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Ilya [14]
3 years ago
15

Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B?

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
6 0

The scale factor to convert Figure A to B is \frac{1}{2} (0.5)

Step-by-step explanation:

Step 1; To determine the scale factor, we need to know the dimensions of the shape before scaling and its dimensions after scaling. From the given diagram, figure A has a base length of 6 units while its height is 4 units. Figure B has a base length of 3 units and a height of 2 units.

Step 2; To find the scale factor, we divide a particular dimension from figure B with the same dimension in figure A.

The base length of figure B /the base length of figure A = \frac{3}{6} = \frac{1}{2},

Similarly, the height of figure B / the height of figure A = \frac{2}{4} = \frac{1}{2}.

So by multiplying figure A with scale factor \frac{1}{2} we get figure B.

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Lelu [443]

Answer:

Let me know if you want more explanation

Step-by-step explanation:

Alright, to solve for x we need 2 angles that are congruent or equal.

I'm going to use the two we will need later. KLN and MNL

Now to find x ^^

2x-18=x+6\\2x-18-x=x+6-x\\x-18=6\\x-18+18=6+18\\x=24

Now we just need to plug it into each angle. I'm going to show you them separately.

KLN=2x-18\\KLN=2(24)-18\\KLN=48-18\\KLN=30

MNL=4x-6\\MNL=4(24)+6\\MNL=102

should be right now.

3 0
3 years ago
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Troyanec [42]
5+10+20+40=75..........
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3 years ago
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The surface areas of two similar figures are 4 in2 and 9 in2. If the volume of the larger figure is 216 in3, what is the volume
OverLord2011 [107]
We know that
surface area smaller figure=scale factor²*surface area larger figure
scale factor=√[surface area smaller figure/surface area larger figure]
scale factor=√[4/9]-----> scale factor=2/3
so
volume smaller figure=scale factor³*volume larger figure
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the answer is
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3 years ago
Which is an equation of the line that passes through the points (–6, 3) and (2, 7)?
Mnenie [13.5K]

Step-by-step explanation:

the typical line equation is

y = ax + b

a is the slope. it is the ratio of "y coordinate change / x coordinate change".

b is the y-intercept (the y value when x = 0) indicating the point, where the line crosses the y-axis.

going from one to the other point

x changes by +8 (from -6 to 2).

y changes by +4 (from 3 to 7).

so, the slope a is +4/+8 = 1/2.

the semi-finished equation is

y = 1/2 x + b

for b we use one of the points in the equation and since for b. let's go for (2, 7) :

7 = 1/2 × 2 + b = 1 + b

6 = b

so, the full equation is

y = 1/2 x + 6

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