Answer:
B) Figure B has the same number of edges as Figure A
D) Figure B has the same number of angles as Figure A
E) Figure B has angles with the same measures as Figure A
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
If Figure B is a scaled copy of Figure A
then
Figure A and Figure B are similar
therefore
<u><em>The statements that must be true are</em></u>
B) Figure B has the same number of edges as Figure A
D) Figure B has the same number of angles as Figure A
E) Figure B has angles with the same measures as Figure A
Answer:
a) 20.16; b) 20.49 and 21.51
Step-by-step explanation:
We use z scores for each of these. The formula for a z score is
.
For part a, we want the 20th percentile; this means we want 20% of the data to be lower than this. We find the value in the cells of the z table that are the closest to 0.20 as we can get; this is 0.2005, which corresponds with a z score of -0.84.
Using this, 21 as the mean and 1 as the standard deviation,
-0.84 = (X-21)/1
-0.84 = X-21
Add 21 to each side:
-0.84+21 = X-21+21
20.16 = X
For part b, we want the middle 39%. This means we want 39/2 = 19.5% above the mean and 19.5% below the mean; this means we want
50-19.5 = 30.5% = 0.305 and
50+19.5 = 69.5% = 0.695.
Looking these values up in the cells of the z table, we find those exact values; 0.305 corresponds with z = -0.51 and 0.695 corresponds with z = 0.51:
-0.51 = (X-21)/1
-0.51 = X-21
Add 21 to each side:
-0.51+21 = X-21+21
20.49 = X
0.51 = (X-21)/1
0.51 = X-21
Add 21 to each side:
0.51+21 = X-21+21
21.51 = X
I think the answer is b i hope this helps
Answer:
8
Step-by-step explanation:
The new height is 24
The original height is 3
24/3 is 8
The scale factor is 8
3:2. There's a total of 9 shapes, 6 triangles, and 3 circles.
Next, you take the ratio of 9:6 and divide each number by 3, one at a time.